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	61	<h1>Solving Linear Equation Systems<br>
	62	<small>
	63	[<a class="el" href="group__algebra.html">Linear Algebra</a>]</small>
	64	</h1><table border="0" cellpadding="0" cellspacing="0">
	65	<tr><td></td></tr>
	66	<tr><td colspan="2"><br><h2>Functions</h2></td></tr>
	67	<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#gd681464dcc43a1dd566a047a8703d1b0">itpp::ls_solve</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &b, <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &x)</td></tr>
	68
	69	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solve linear equation system by LU factorisation. <a href="#gd681464dcc43a1dd566a047a8703d1b0"></a><br></td></tr>
	70	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g2b851be69935d19a71af456172dcd66a">itpp::ls_solve</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &b)</td></tr>
	71
	72	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solve linear equation system by LU factorisation. <a href="#g2b851be69935d19a71af456172dcd66a"></a><br></td></tr>
	73	<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g0e8044324a0dab0ab034bb7d969d3545">itpp::ls_solve</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A, const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &B, <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &X)</td></tr>
	74
	75	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solve multiple linear equations by LU factorisation. <a href="#g0e8044324a0dab0ab034bb7d969d3545"></a><br></td></tr>
	76	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g5eeed005edd07d42bdac76efb95a10ef">itpp::ls_solve</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A, const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &B)</td></tr>
	77
	78	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solve multiple linear equations by LU factorisation. <a href="#g5eeed005edd07d42bdac76efb95a10ef"></a><br></td></tr>
	79	<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#gf659f99b6d978e99a6109a4c4737d5e0">itpp::ls_solve</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A, const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &b, <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &x)</td></tr>
	80
	81	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solve linear equation system by LU factorisation. <a href="#gf659f99b6d978e99a6109a4c4737d5e0"></a><br></td></tr>
	82	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g79433271fb193f777f1527680a1f1f47">itpp::ls_solve</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A, const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &b)</td></tr>
	83
	84	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solve linear equation system by LU factorisation. <a href="#g79433271fb193f777f1527680a1f1f47"></a><br></td></tr>
	85	<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#gdc73f49e6f97f745b446a217801e8e76">itpp::ls_solve</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A, const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &B, <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &X)</td></tr>
	86
	87	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solve multiple linear equations by LU factorisation. <a href="#gdc73f49e6f97f745b446a217801e8e76"></a><br></td></tr>
	88	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g66c689c7c7dd59dcc617297e9e09674c">itpp::ls_solve</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A, const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &B)</td></tr>
	89
	90	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solve multiple linear equations by LU factorisation. <a href="#g66c689c7c7dd59dcc617297e9e09674c"></a><br></td></tr>
	91	<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g79c944eae1622c51102e29c710f599a6">itpp::ls_solve_chol</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &b, <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &x)</td></tr>
	92
	93	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solve linear equation system by Cholesky factorisation. <a href="#g79c944eae1622c51102e29c710f599a6"></a><br></td></tr>
	94	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#ga46b244841f3ec438f1e41191757be39">itpp::ls_solve_chol</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &b)</td></tr>
	95
	96	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solve linear equation system by Cholesky factorisation. <a href="#ga46b244841f3ec438f1e41191757be39"></a><br></td></tr>
	97	<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#gbeee00983a1f1f68cd998aaebe32b1d2">itpp::ls_solve_chol</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A, const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &B, <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &X)</td></tr>
	98
	99	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solve linear equation system by Cholesky factorisation. <a href="#gbeee00983a1f1f68cd998aaebe32b1d2"></a><br></td></tr>
	100	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g7bdc6bb93ecfe978d4a422fa94c05156">itpp::ls_solve_chol</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A, const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &B)</td></tr>
	101
	102	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solve linear equation system by Cholesky factorisation. <a href="#g7bdc6bb93ecfe978d4a422fa94c05156"></a><br></td></tr>
	103	<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g6a49b9cd956395fd93c5c4f550c2b1d6">itpp::ls_solve_chol</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A, const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &b, <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &x)</td></tr>
	104
	105	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solve linear equation system by Cholesky factorisation. <a href="#g6a49b9cd956395fd93c5c4f550c2b1d6"></a><br></td></tr>
	106	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#gc19522b8a7120792c41acce0f3436893">itpp::ls_solve_chol</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A, const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &b)</td></tr>
	107
	108	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solve linear equation system by Cholesky factorisation. <a href="#gc19522b8a7120792c41acce0f3436893"></a><br></td></tr>
	109	<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g114a7fea819005a29739d244fd5a5a55">itpp::ls_solve_chol</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A, const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &B, <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &X)</td></tr>
	110
	111	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solve linear equation system by Cholesky factorisation. <a href="#g114a7fea819005a29739d244fd5a5a55"></a><br></td></tr>
	112	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g682ef1051b2386ed6e47c328617f46d1">itpp::ls_solve_chol</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A, const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &B)</td></tr>
	113
	114	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solve linear equation system by Cholesky factorisation. <a href="#g682ef1051b2386ed6e47c328617f46d1"></a><br></td></tr>
	115	<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g618ea65fa1f15fd2e09c61765da06fac">itpp::ls_solve_od</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &b, <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &x)</td></tr>
	116
	117	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solves overdetermined linear equation systems. <a href="#g618ea65fa1f15fd2e09c61765da06fac"></a><br></td></tr>
	118	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g635550ec883953a711dd5f658a164671">itpp::ls_solve_od</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &b)</td></tr>
	119
	120	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solves overdetermined linear equation systems. <a href="#g635550ec883953a711dd5f658a164671"></a><br></td></tr>
	121	<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#gfa445fa4f699c7ca17b7b6475d40969d">itpp::ls_solve_od</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A, const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &B, <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &X)</td></tr>
	122
	123	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solves overdetermined linear equation systems. <a href="#gfa445fa4f699c7ca17b7b6475d40969d"></a><br></td></tr>
	124	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#gd93074c8c7c9e3b98b2888365abe7fca">itpp::ls_solve_od</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A, const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &B)</td></tr>
	125
	126	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solves overdetermined linear equation systems. <a href="#gd93074c8c7c9e3b98b2888365abe7fca"></a><br></td></tr>
	127	<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g23ed5ee5dee16412e2751e9bcedb449d">itpp::ls_solve_od</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A, const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &b, <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &x)</td></tr>
	128
	129	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solves overdetermined linear equation systems. <a href="#g23ed5ee5dee16412e2751e9bcedb449d"></a><br></td></tr>
	130	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g221d32bcf3790e81bbc73001fb3c7d1c">itpp::ls_solve_od</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A, const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &b)</td></tr>
	131
	132	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solves overdetermined linear equation systems. <a href="#g221d32bcf3790e81bbc73001fb3c7d1c"></a><br></td></tr>
	133	<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g4beeb59f1d32fc7c19b04ad3d7d5c210">itpp::ls_solve_od</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A, const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &B, <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &X)</td></tr>
	134
	135	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solves overdetermined linear equation systems. <a href="#g4beeb59f1d32fc7c19b04ad3d7d5c210"></a><br></td></tr>
	136	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g60f41335126f7c70973f95ff8147fbfd">itpp::ls_solve_od</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A, const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &B)</td></tr>
	137
	138	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solves overdetermined linear equation systems. <a href="#g60f41335126f7c70973f95ff8147fbfd"></a><br></td></tr>
	139	<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#gec926319b4d7faf913e1cf034af1899c">itpp::ls_solve_ud</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &b, <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &x)</td></tr>
	140
	141	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solves underdetermined linear equation systems. <a href="#gec926319b4d7faf913e1cf034af1899c"></a><br></td></tr>
	142	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g70cd3ada0cecc2d675638a51ea0eee0d">itpp::ls_solve_ud</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &b)</td></tr>
	143
	144	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solves overdetermined linear equation systems. <a href="#g70cd3ada0cecc2d675638a51ea0eee0d"></a><br></td></tr>
	145	<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#gf24d2c5baba027d772c2fbe4958a34ca">itpp::ls_solve_ud</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A, const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &B, <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &X)</td></tr>
	146
	147	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solves underdetermined linear equation systems. <a href="#gf24d2c5baba027d772c2fbe4958a34ca"></a><br></td></tr>
	148	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#gd47cbd81c624acfc5715f6292dfd9cd4">itpp::ls_solve_ud</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A, const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &B)</td></tr>
	149
	150	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solves underdetermined linear equation systems. <a href="#gd47cbd81c624acfc5715f6292dfd9cd4"></a><br></td></tr>
	151	<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g90a505b0fd80f7aa15d869a3176549ec">itpp::ls_solve_ud</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A, const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &b, <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &x)</td></tr>
	152
	153	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solves underdetermined linear equation systems. <a href="#g90a505b0fd80f7aa15d869a3176549ec"></a><br></td></tr>
	154	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g126eb1902b5853564750c86339183586">itpp::ls_solve_ud</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A, const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &b)</td></tr>
	155
	156	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solves overdetermined linear equation systems. <a href="#g126eb1902b5853564750c86339183586"></a><br></td></tr>
	157	<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g5a070b09b70e0cbf95a72c76f0b4f975">itpp::ls_solve_ud</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A, const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &B, <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &X)</td></tr>
	158
	159	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solves underdetermined linear equation systems. <a href="#g5a070b09b70e0cbf95a72c76f0b4f975"></a><br></td></tr>
	160	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g67f1f4ffa7b7ea7bdb0c2d8276b58988">itpp::ls_solve_ud</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A, const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &B)</td></tr>
	161
	162	<tr><td class="mdescLeft"> </td><td class="mdescRight">Solves underdetermined linear equation systems. <a href="#g67f1f4ffa7b7ea7bdb0c2d8276b58988"></a><br></td></tr>
	163	<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g523a45a9e50832ea218e34fff1a55db0">itpp::backslash</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &b, <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &x)</td></tr>
	164
	165	<tr><td class="mdescLeft"> </td><td class="mdescRight">A general linear equation system solver. <a href="#g523a45a9e50832ea218e34fff1a55db0"></a><br></td></tr>
	166	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#gc93ca026801d8de27ec8378f01b06eda">itpp::backslash</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &b)</td></tr>
	167
	168	<tr><td class="mdescLeft"> </td><td class="mdescRight">A general linear equation system solver. <a href="#gc93ca026801d8de27ec8378f01b06eda"></a><br></td></tr>
	169	<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g254891271fb32587592d21b6b771ad85">itpp::backslash</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A, const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &B, <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &X)</td></tr>
	170
	171	<tr><td class="mdescLeft"> </td><td class="mdescRight">A general linear equation system solver. <a href="#g254891271fb32587592d21b6b771ad85"></a><br></td></tr>
	172	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g0554bdde3c5e93abef3a11d45235d3da">itpp::backslash</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A, const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &B)</td></tr>
	173
	174	<tr><td class="mdescLeft"> </td><td class="mdescRight">A general linear equation system solver. <a href="#g0554bdde3c5e93abef3a11d45235d3da"></a><br></td></tr>
	175	<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#gaf8574970ef18e0c12c3150303010dd1">itpp::backslash</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A, const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &b, <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &x)</td></tr>
	176
	177	<tr><td class="mdescLeft"> </td><td class="mdescRight">A general linear equation system solver. <a href="#gaf8574970ef18e0c12c3150303010dd1"></a><br></td></tr>
	178	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g2d0093ec5378e5e71136e7085a81b75f">itpp::backslash</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A, const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> &b)</td></tr>
	179
	180	<tr><td class="mdescLeft"> </td><td class="mdescRight">A general linear equation system solver. <a href="#g2d0093ec5378e5e71136e7085a81b75f"></a><br></td></tr>
	181	<tr><td class="memItemLeft" nowrap align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g797859ceb64d2233c41520836b91a983">itpp::backslash</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A, const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &B, <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &X)</td></tr>
	182
	183	<tr><td class="mdescLeft"> </td><td class="mdescRight">A general linear equation system solver. <a href="#g797859ceb64d2233c41520836b91a983"></a><br></td></tr>
	184	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g3d33801c6488e98ad4b9e0842909644f">itpp::backslash</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A, const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &B)</td></tr>
	185
	186	<tr><td class="mdescLeft"> </td><td class="mdescRight">A general linear equation system solver. <a href="#g3d33801c6488e98ad4b9e0842909644f"></a><br></td></tr>
	187	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g06f1de8cabe1784c5a6d8e0704762421">itpp::forward_substitution</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &L, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &b)</td></tr>
	188
	189	<tr><td class="mdescLeft"> </td><td class="mdescRight">Forward substitution of square matrix. <a href="#g06f1de8cabe1784c5a6d8e0704762421"></a><br></td></tr>
	190	<tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#gc7c3161dea713d70d5d599a835b0638f">itpp::forward_substitution</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &L, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &b, <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &x)</td></tr>
	191
	192	<tr><td class="mdescLeft"> </td><td class="mdescRight">Forward substitution of square matrix. <a href="#gc7c3161dea713d70d5d599a835b0638f"></a><br></td></tr>
	193	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g118cc3706a66f4627206d889bfa8db82">itpp::forward_substitution</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &L, int p, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &b)</td></tr>
	194
	195	<tr><td class="mdescLeft"> </td><td class="mdescRight">Forward substitution of band matrices. <a href="#g118cc3706a66f4627206d889bfa8db82"></a><br></td></tr>
	196	<tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g8c7d440ecb34fd3d1c6f015fe4877ff7">itpp::forward_substitution</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &L, int p, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &b, <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &x)</td></tr>
	197
	198	<tr><td class="mdescLeft"> </td><td class="mdescRight">Forward substitution of band matrices. <a href="#g8c7d440ecb34fd3d1c6f015fe4877ff7"></a><br></td></tr>
	199	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g4fe9c0b4ef9b22132956d99ccedd804d">itpp::backward_substitution</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &U, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &b)</td></tr>
	200
	201	<tr><td class="mdescLeft"> </td><td class="mdescRight">Backward substitution of square matrix. <a href="#g4fe9c0b4ef9b22132956d99ccedd804d"></a><br></td></tr>
	202	<tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#gcd34872e3a3b23f4cd20647a348bbe22">itpp::backward_substitution</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &U, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &b, <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &x)</td></tr>
	203
	204	<tr><td class="mdescLeft"> </td><td class="mdescRight">Backward substitution of square matrix. <a href="#gcd34872e3a3b23f4cd20647a348bbe22"></a><br></td></tr>
	205	<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g4d266602981eb46a9f733c55dc1fd7a2">itpp::backward_substitution</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &U, int q, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &b)</td></tr>
	206
	207	<tr><td class="mdescLeft"> </td><td class="mdescRight">Backward substitution of band matrix. <a href="#g4d266602981eb46a9f733c55dc1fd7a2"></a><br></td></tr>
	208	<tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="group__linearequations.html#g4dc8a32c721296c2480fd991b8a570d1">itpp::backward_substitution</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &U, int q, const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &b, <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> &x)</td></tr>
	209
	210	<tr><td class="mdescLeft"> </td><td class="mdescRight">Backward substitution of band matrix. <a href="#g4dc8a32c721296c2480fd991b8a570d1"></a><br></td></tr>
	211	</table>
	212	<hr><h2>Function Documentation</h2>
	213	<a class="anchor" name="g3d33801c6488e98ad4b9e0842909644f"></a><!-- doxytag: member="itpp::backslash" ref="g3d33801c6488e98ad4b9e0842909644f" args="(const cmat &A, const cmat &B)" -->
	214	<div class="memitem">
	215	<div class="memproto">
	216	<table class="memname">
	217	<tr>
	218	<td class="memname"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> itpp::backslash </td>
	219	<td>(</td>
	220	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	221	<td class="paramname"> <em>A</em>, </td>
	222	</tr>
	223	<tr>
	224	<td class="paramkey"></td>
	225	<td></td>
	226	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	227	<td class="paramname"> <em>B</em></td><td> </td>
	228	</tr>
	229	<tr>
	230	<td></td>
	231	<td>)</td>
	232	<td></td><td></td><td></td>
	233	</tr>
	234	</table>
	235	</div>
	236	<div class="memdoc">
	237
	238	<p>
	239	A general linear equation system solver.
	240	<p>
	241	Tries to emulate the backslash operator in Matlab by calling ls_solve(A,B), ls_solve_od(A,B), or ls_solve_ud(A,B).
	242	<p>References <a class="el" href="itassert_8h-source.html#l00107">it_assert_debug</a>.</p>
	243
	244	<p>Referenced by <a class="el" href="filter__design_8cpp-source.html#l00228">itpp::arma_estimator()</a>, <a class="el" href="ls__solve_8cpp-source.html#l00667">itpp::backslash()</a>, and <a class="el" href="filter__design_8cpp-source.html#l00197">itpp::modified_yule_walker()</a>.</p>
	245
	246	</div>
	247	</div><p>
	248	<a class="anchor" name="g797859ceb64d2233c41520836b91a983"></a><!-- doxytag: member="itpp::backslash" ref="g797859ceb64d2233c41520836b91a983" args="(const cmat &A, const cmat &B, cmat &X)" -->
	249	<div class="memitem">
	250	<div class="memproto">
	251	<table class="memname">
	252	<tr>
	253	<td class="memname">bool itpp::backslash </td>
	254	<td>(</td>
	255	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	256	<td class="paramname"> <em>A</em>, </td>
	257	</tr>
	258	<tr>
	259	<td class="paramkey"></td>
	260	<td></td>
	261	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	262	<td class="paramname"> <em>B</em>, </td>
	263	</tr>
	264	<tr>
	265	<td class="paramkey"></td>
	266	<td></td>
	267	<td class="paramtype"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	268	<td class="paramname"> <em>X</em></td><td> </td>
	269	</tr>
	270	<tr>
	271	<td></td>
	272	<td>)</td>
	273	<td></td><td></td><td></td>
	274	</tr>
	275	</table>
	276	</div>
	277	<div class="memdoc">
	278
	279	<p>
	280	A general linear equation system solver.
	281	<p>
	282	Tries to emulate the backslash operator in Matlab by calling ls_solve(A,B,X), ls_solve_od(A,B,X), or ls_solve_ud(A,B,X).
	283	<p>References <a class="el" href="ls__solve_8cpp-source.html#l00321">itpp::ls_solve()</a>, <a class="el" href="ls__solve_8cpp-source.html#l00477">itpp::ls_solve_od()</a>, and <a class="el" href="ls__solve_8cpp-source.html#l00639">itpp::ls_solve_ud()</a>.</p>
	284
	285	</div>
	286	</div><p>
	287	<a class="anchor" name="g2d0093ec5378e5e71136e7085a81b75f"></a><!-- doxytag: member="itpp::backslash" ref="g2d0093ec5378e5e71136e7085a81b75f" args="(const cmat &A, const cvec &b)" -->
	288	<div class="memitem">
	289	<div class="memproto">
	290	<table class="memname">
	291	<tr>
	292	<td class="memname"><a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> itpp::backslash </td>
	293	<td>(</td>
	294	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	295	<td class="paramname"> <em>A</em>, </td>
	296	</tr>
	297	<tr>
	298	<td class="paramkey"></td>
	299	<td></td>
	300	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> & </td>
	301	<td class="paramname"> <em>b</em></td><td> </td>
	302	</tr>
	303	<tr>
	304	<td></td>
	305	<td>)</td>
	306	<td></td><td></td><td></td>
	307	</tr>
	308	</table>
	309	</div>
	310	<div class="memdoc">
	311
	312	<p>
	313	A general linear equation system solver.
	314	<p>
	315	Tries to emulate the backslash operator in Matlab by calling ls_solve(A,b), ls_solve_od(A,b) or ls_solve_ud(A,b)
	316	<p>References <a class="el" href="ls__solve_8cpp-source.html#l00744">itpp::backslash()</a>, and <a class="el" href="itassert_8h-source.html#l00107">it_assert_debug</a>.</p>
	317
	318	</div>
	319	</div><p>
	320	<a class="anchor" name="gaf8574970ef18e0c12c3150303010dd1"></a><!-- doxytag: member="itpp::backslash" ref="gaf8574970ef18e0c12c3150303010dd1" args="(const cmat &A, const cvec &b, cvec &x)" -->
	321	<div class="memitem">
	322	<div class="memproto">
	323	<table class="memname">
	324	<tr>
	325	<td class="memname">bool itpp::backslash </td>
	326	<td>(</td>
	327	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	328	<td class="paramname"> <em>A</em>, </td>
	329	</tr>
	330	<tr>
	331	<td class="paramkey"></td>
	332	<td></td>
	333	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> & </td>
	334	<td class="paramname"> <em>b</em>, </td>
	335	</tr>
	336	<tr>
	337	<td class="paramkey"></td>
	338	<td></td>
	339	<td class="paramtype"><a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> & </td>
	340	<td class="paramname"> <em>x</em></td><td> </td>
	341	</tr>
	342	<tr>
	343	<td></td>
	344	<td>)</td>
	345	<td></td><td></td><td></td>
	346	</tr>
	347	</table>
	348	</div>
	349	<div class="memdoc">
	350
	351	<p>
	352	A general linear equation system solver.
	353	<p>
	354	Tries to emulate the backslash operator in Matlab by calling ls_solve(A,b,x), ls_solve_od(A,b,x) or ls_solve_ud(A,b,x)
	355	<p>References <a class="el" href="ls__solve_8cpp-source.html#l00321">itpp::ls_solve()</a>, <a class="el" href="ls__solve_8cpp-source.html#l00477">itpp::ls_solve_od()</a>, and <a class="el" href="ls__solve_8cpp-source.html#l00639">itpp::ls_solve_ud()</a>.</p>
	356
	357	</div>
	358	</div><p>
	359	<a class="anchor" name="g0554bdde3c5e93abef3a11d45235d3da"></a><!-- doxytag: member="itpp::backslash" ref="g0554bdde3c5e93abef3a11d45235d3da" args="(const mat &A, const mat &B)" -->
	360	<div class="memitem">
	361	<div class="memproto">
	362	<table class="memname">
	363	<tr>
	364	<td class="memname"><a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> itpp::backslash </td>
	365	<td>(</td>
	366	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	367	<td class="paramname"> <em>A</em>, </td>
	368	</tr>
	369	<tr>
	370	<td class="paramkey"></td>
	371	<td></td>
	372	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	373	<td class="paramname"> <em>B</em></td><td> </td>
	374	</tr>
	375	<tr>
	376	<td></td>
	377	<td>)</td>
	378	<td></td><td></td><td></td>
	379	</tr>
	380	</table>
	381	</div>
	382	<div class="memdoc">
	383
	384	<p>
	385	A general linear equation system solver.
	386	<p>
	387	Tries to emulate the backslash operator in Matlab by calling ls_solve(A,B), ls_solve_od(A,B), or ls_solve_ud(A,B).
	388	<p>References <a class="el" href="ls__solve_8cpp-source.html#l00744">itpp::backslash()</a>, and <a class="el" href="itassert_8h-source.html#l00107">it_assert_debug</a>.</p>
	389
	390	</div>
	391	</div><p>
	392	<a class="anchor" name="g254891271fb32587592d21b6b771ad85"></a><!-- doxytag: member="itpp::backslash" ref="g254891271fb32587592d21b6b771ad85" args="(const mat &A, const mat &B, mat &X)" -->
	393	<div class="memitem">
	394	<div class="memproto">
	395	<table class="memname">
	396	<tr>
	397	<td class="memname">bool itpp::backslash </td>
	398	<td>(</td>
	399	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	400	<td class="paramname"> <em>A</em>, </td>
	401	</tr>
	402	<tr>
	403	<td class="paramkey"></td>
	404	<td></td>
	405	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	406	<td class="paramname"> <em>B</em>, </td>
	407	</tr>
	408	<tr>
	409	<td class="paramkey"></td>
	410	<td></td>
	411	<td class="paramtype"><a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	412	<td class="paramname"> <em>X</em></td><td> </td>
	413	</tr>
	414	<tr>
	415	<td></td>
	416	<td>)</td>
	417	<td></td><td></td><td></td>
	418	</tr>
	419	</table>
	420	</div>
	421	<div class="memdoc">
	422
	423	<p>
	424	A general linear equation system solver.
	425	<p>
	426	Tries to emulate the backslash operator in Matlab by calling ls_solve(A,B,X), ls_solve_od(A,B,X), or ls_solve_ud(A,B,X).
	427	<p>References <a class="el" href="ls__solve_8cpp-source.html#l00321">itpp::ls_solve()</a>, <a class="el" href="ls__solve_8cpp-source.html#l00477">itpp::ls_solve_od()</a>, and <a class="el" href="ls__solve_8cpp-source.html#l00639">itpp::ls_solve_ud()</a>.</p>
	428
	429	</div>
	430	</div><p>
	431	<a class="anchor" name="gc93ca026801d8de27ec8378f01b06eda"></a><!-- doxytag: member="itpp::backslash" ref="gc93ca026801d8de27ec8378f01b06eda" args="(const mat &A, const vec &b)" -->
	432	<div class="memitem">
	433	<div class="memproto">
	434	<table class="memname">
	435	<tr>
	436	<td class="memname"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> itpp::backslash </td>
	437	<td>(</td>
	438	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	439	<td class="paramname"> <em>A</em>, </td>
	440	</tr>
	441	<tr>
	442	<td class="paramkey"></td>
	443	<td></td>
	444	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	445	<td class="paramname"> <em>b</em></td><td> </td>
	446	</tr>
	447	<tr>
	448	<td></td>
	449	<td>)</td>
	450	<td></td><td></td><td></td>
	451	</tr>
	452	</table>
	453	</div>
	454	<div class="memdoc">
	455
	456	<p>
	457	A general linear equation system solver.
	458	<p>
	459	Tries to emulate the backslash operator in Matlab by calling ls_solve(A,b), ls_solve_od(A,b) or ls_solve_ud(A,b)
	460	<p>References <a class="el" href="ls__solve_8cpp-source.html#l00744">itpp::backslash()</a>, and <a class="el" href="itassert_8h-source.html#l00107">it_assert_debug</a>.</p>
	461
	462	</div>
	463	</div><p>
	464	<a class="anchor" name="g523a45a9e50832ea218e34fff1a55db0"></a><!-- doxytag: member="itpp::backslash" ref="g523a45a9e50832ea218e34fff1a55db0" args="(const mat &A, const vec &b, vec &x)" -->
	465	<div class="memitem">
	466	<div class="memproto">
	467	<table class="memname">
	468	<tr>
	469	<td class="memname">bool itpp::backslash </td>
	470	<td>(</td>
	471	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	472	<td class="paramname"> <em>A</em>, </td>
	473	</tr>
	474	<tr>
	475	<td class="paramkey"></td>
	476	<td></td>
	477	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	478	<td class="paramname"> <em>b</em>, </td>
	479	</tr>
	480	<tr>
	481	<td class="paramkey"></td>
	482	<td></td>
	483	<td class="paramtype"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	484	<td class="paramname"> <em>x</em></td><td> </td>
	485	</tr>
	486	<tr>
	487	<td></td>
	488	<td>)</td>
	489	<td></td><td></td><td></td>
	490	</tr>
	491	</table>
	492	</div>
	493	<div class="memdoc">
	494
	495	<p>
	496	A general linear equation system solver.
	497	<p>
	498	Tries to emulate the backslash operator in Matlab by calling ls_solve(A,b,x), ls_solve_od(A,b,x) or ls_solve_ud(A,b,x)
	499	<p>References <a class="el" href="ls__solve_8cpp-source.html#l00321">itpp::ls_solve()</a>, <a class="el" href="ls__solve_8cpp-source.html#l00477">itpp::ls_solve_od()</a>, and <a class="el" href="ls__solve_8cpp-source.html#l00639">itpp::ls_solve_ud()</a>.</p>
	500
	501	</div>
	502	</div><p>
	503	<a class="anchor" name="g4dc8a32c721296c2480fd991b8a570d1"></a><!-- doxytag: member="itpp::backward_substitution" ref="g4dc8a32c721296c2480fd991b8a570d1" args="(const mat &U, int q, const vec &b, vec &x)" -->
	504	<div class="memitem">
	505	<div class="memproto">
	506	<table class="memname">
	507	<tr>
	508	<td class="memname">void itpp::backward_substitution </td>
	509	<td>(</td>
	510	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	511	<td class="paramname"> <em>U</em>, </td>
	512	</tr>
	513	<tr>
	514	<td class="paramkey"></td>
	515	<td></td>
	516	<td class="paramtype">int </td>
	517	<td class="paramname"> <em>q</em>, </td>
	518	</tr>
	519	<tr>
	520	<td class="paramkey"></td>
	521	<td></td>
	522	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	523	<td class="paramname"> <em>b</em>, </td>
	524	</tr>
	525	<tr>
	526	<td class="paramkey"></td>
	527	<td></td>
	528	<td class="paramtype"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	529	<td class="paramname"> <em>x</em></td><td> </td>
	530	</tr>
	531	<tr>
	532	<td></td>
	533	<td>)</td>
	534	<td></td><td></td><td></td>
	535	</tr>
	536	</table>
	537	</div>
	538	<div class="memdoc">
	539
	540	<p>
	541	Backward substitution of band matrix.
	542	<p>
	543	Solves Ux=b, where U is a upper triangular n by n matrix band-matrix with upper bandwidth q. Assumes that U is nonsingular. Requires about 2nq flops (if n >> q). Uses Alg. 4.3.3 in Golub & van Loan "Matrix computations", 3rd ed., p. 153.
	544	<p>References <a class="el" href="itassert_8h-source.html#l00094">it_assert</a>, and <a class="el" href="tcp_8h-source.html#l00117">itpp::max()</a>.</p>
	545
	546	<p>Referenced by <a class="el" href="ls__solve_8cpp-source.html#l00813">itpp::backward_substitution()</a>, <a class="el" href="libKF_8cpp-source.html#l00199">bdm::EKFCh::bayes()</a>, <a class="el" href="libKF_8cpp-source.html#l00130">bdm::KalmanCh::bayes()</a>, and <a class="el" href="libDC_8cpp-source.html#l00168">ldmat::invqform()</a>.</p>
	547
	548	</div>
	549	</div><p>
	550	<a class="anchor" name="g4d266602981eb46a9f733c55dc1fd7a2"></a><!-- doxytag: member="itpp::backward_substitution" ref="g4d266602981eb46a9f733c55dc1fd7a2" args="(const mat &U, int q, const vec &b)" -->
	551	<div class="memitem">
	552	<div class="memproto">
	553	<table class="memname">
	554	<tr>
	555	<td class="memname"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> itpp::backward_substitution </td>
	556	<td>(</td>
	557	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	558	<td class="paramname"> <em>U</em>, </td>
	559	</tr>
	560	<tr>
	561	<td class="paramkey"></td>
	562	<td></td>
	563	<td class="paramtype">int </td>
	564	<td class="paramname"> <em>q</em>, </td>
	565	</tr>
	566	<tr>
	567	<td class="paramkey"></td>
	568	<td></td>
	569	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	570	<td class="paramname"> <em>b</em></td><td> </td>
	571	</tr>
	572	<tr>
	573	<td></td>
	574	<td>)</td>
	575	<td></td><td></td><td></td>
	576	</tr>
	577	</table>
	578	</div>
	579	<div class="memdoc">
	580
	581	<p>
	582	Backward substitution of band matrix.
	583	<p>
	584	Solves Ux=b, where U is a upper triangular n by n matrix band-matrix with upper bandwidth q. Assumes that U is nonsingular. Requires about 2nq flops (if n >> q). Uses Alg. 4.3.3 in Golub & van Loan "Matrix computations", 3rd ed., p. 153.
	585	<p>References <a class="el" href="ls__solve_8cpp-source.html#l00850">itpp::backward_substitution()</a>.</p>
	586
	587	</div>
	588	</div><p>
	589	<a class="anchor" name="gcd34872e3a3b23f4cd20647a348bbe22"></a><!-- doxytag: member="itpp::backward_substitution" ref="gcd34872e3a3b23f4cd20647a348bbe22" args="(const mat &U, const vec &b, vec &x)" -->
	590	<div class="memitem">
	591	<div class="memproto">
	592	<table class="memname">
	593	<tr>
	594	<td class="memname">void itpp::backward_substitution </td>
	595	<td>(</td>
	596	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	597	<td class="paramname"> <em>U</em>, </td>
	598	</tr>
	599	<tr>
	600	<td class="paramkey"></td>
	601	<td></td>
	602	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	603	<td class="paramname"> <em>b</em>, </td>
	604	</tr>
	605	<tr>
	606	<td class="paramkey"></td>
	607	<td></td>
	608	<td class="paramtype"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	609	<td class="paramname"> <em>x</em></td><td> </td>
	610	</tr>
	611	<tr>
	612	<td></td>
	613	<td>)</td>
	614	<td></td><td></td><td></td>
	615	</tr>
	616	</table>
	617	</div>
	618	<div class="memdoc">
	619
	620	<p>
	621	Backward substitution of square matrix.
	622	<p>
	623	Solves Ux=b, where U is a upper triangular n by n matrix. Assumes that U is nonsingular. Requires n^2 flops. Uses Alg. 3.1.2 in Golub & van Loan "Matrix computations", 3rd ed., p. 89.
	624	<p>References <a class="el" href="itassert_8h-source.html#l00094">it_assert</a>.</p>
	625
	626	</div>
	627	</div><p>
	628	<a class="anchor" name="g4fe9c0b4ef9b22132956d99ccedd804d"></a><!-- doxytag: member="itpp::backward_substitution" ref="g4fe9c0b4ef9b22132956d99ccedd804d" args="(const mat &U, const vec &b)" -->
	629	<div class="memitem">
	630	<div class="memproto">
	631	<table class="memname">
	632	<tr>
	633	<td class="memname"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> itpp::backward_substitution </td>
	634	<td>(</td>
	635	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	636	<td class="paramname"> <em>U</em>, </td>
	637	</tr>
	638	<tr>
	639	<td class="paramkey"></td>
	640	<td></td>
	641	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	642	<td class="paramname"> <em>b</em></td><td> </td>
	643	</tr>
	644	<tr>
	645	<td></td>
	646	<td>)</td>
	647	<td></td><td></td><td></td>
	648	</tr>
	649	</table>
	650	</div>
	651	<div class="memdoc">
	652
	653	<p>
	654	Backward substitution of square matrix.
	655	<p>
	656	Solves Ux=b, where U is a upper triangular n by n matrix. Assumes that U is nonsingular. Requires n^2 flops. Uses Alg. 3.1.2 in Golub & van Loan "Matrix computations", 3rd ed., p. 89.
	657	<p>References <a class="el" href="ls__solve_8cpp-source.html#l00850">itpp::backward_substitution()</a>.</p>
	658
	659	</div>
	660	</div><p>
	661	<a class="anchor" name="g8c7d440ecb34fd3d1c6f015fe4877ff7"></a><!-- doxytag: member="itpp::forward_substitution" ref="g8c7d440ecb34fd3d1c6f015fe4877ff7" args="(const mat &L, int p, const vec &b, vec &x)" -->
	662	<div class="memitem">
	663	<div class="memproto">
	664	<table class="memname">
	665	<tr>
	666	<td class="memname">void itpp::forward_substitution </td>
	667	<td>(</td>
	668	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	669	<td class="paramname"> <em>L</em>, </td>
	670	</tr>
	671	<tr>
	672	<td class="paramkey"></td>
	673	<td></td>
	674	<td class="paramtype">int </td>
	675	<td class="paramname"> <em>p</em>, </td>
	676	</tr>
	677	<tr>
	678	<td class="paramkey"></td>
	679	<td></td>
	680	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	681	<td class="paramname"> <em>b</em>, </td>
	682	</tr>
	683	<tr>
	684	<td class="paramkey"></td>
	685	<td></td>
	686	<td class="paramtype"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	687	<td class="paramname"> <em>x</em></td><td> </td>
	688	</tr>
	689	<tr>
	690	<td></td>
	691	<td>)</td>
	692	<td></td><td></td><td></td>
	693	</tr>
	694	</table>
	695	</div>
	696	<div class="memdoc">
	697
	698	<p>
	699	Forward substitution of band matrices.
	700	<p>
	701	Solves Lx=b, where L is a lower triangular n by n band-matrix with lower bandwidth p. Assumes that L is nonsingular. Requires about 2np flops (if n >> p). Uses Alg. 4.3.2 in Golub & van Loan "Matrix computations", 3rd ed., p. 153.
	702	<p>References <a class="el" href="itassert_8h-source.html#l00094">it_assert</a>, and <a class="el" href="tcp_8h-source.html#l00115">itpp::min()</a>.</p>
	703
	704	<p>Referenced by <a class="el" href="ls__solve_8cpp-source.html#l00756">itpp::forward_substitution()</a>, and <a class="el" href="chmat_8cpp-source.html#l00040">chmat::invqform()</a>.</p>
	705
	706	</div>
	707	</div><p>
	708	<a class="anchor" name="g118cc3706a66f4627206d889bfa8db82"></a><!-- doxytag: member="itpp::forward_substitution" ref="g118cc3706a66f4627206d889bfa8db82" args="(const mat &L, int p, const vec &b)" -->
	709	<div class="memitem">
	710	<div class="memproto">
	711	<table class="memname">
	712	<tr>
	713	<td class="memname"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> itpp::forward_substitution </td>
	714	<td>(</td>
	715	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	716	<td class="paramname"> <em>L</em>, </td>
	717	</tr>
	718	<tr>
	719	<td class="paramkey"></td>
	720	<td></td>
	721	<td class="paramtype">int </td>
	722	<td class="paramname"> <em>p</em>, </td>
	723	</tr>
	724	<tr>
	725	<td class="paramkey"></td>
	726	<td></td>
	727	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	728	<td class="paramname"> <em>b</em></td><td> </td>
	729	</tr>
	730	<tr>
	731	<td></td>
	732	<td>)</td>
	733	<td></td><td></td><td></td>
	734	</tr>
	735	</table>
	736	</div>
	737	<div class="memdoc">
	738
	739	<p>
	740	Forward substitution of band matrices.
	741	<p>
	742	Solves Lx=b, where L is a lower triangular n by n band-matrix with lower bandwidth p. Assumes that L is nonsingular. Requires about 2np flops (if n >> p). Uses Alg. 4.3.2 in Golub & van Loan "Matrix computations", 3rd ed., p. 153.
	743	<p>References <a class="el" href="ls__solve_8cpp-source.html#l00797">itpp::forward_substitution()</a>.</p>
	744
	745	</div>
	746	</div><p>
	747	<a class="anchor" name="gc7c3161dea713d70d5d599a835b0638f"></a><!-- doxytag: member="itpp::forward_substitution" ref="gc7c3161dea713d70d5d599a835b0638f" args="(const mat &L, const vec &b, vec &x)" -->
	748	<div class="memitem">
	749	<div class="memproto">
	750	<table class="memname">
	751	<tr>
	752	<td class="memname">void itpp::forward_substitution </td>
	753	<td>(</td>
	754	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	755	<td class="paramname"> <em>L</em>, </td>
	756	</tr>
	757	<tr>
	758	<td class="paramkey"></td>
	759	<td></td>
	760	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	761	<td class="paramname"> <em>b</em>, </td>
	762	</tr>
	763	<tr>
	764	<td class="paramkey"></td>
	765	<td></td>
	766	<td class="paramtype"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	767	<td class="paramname"> <em>x</em></td><td> </td>
	768	</tr>
	769	<tr>
	770	<td></td>
	771	<td>)</td>
	772	<td></td><td></td><td></td>
	773	</tr>
	774	</table>
	775	</div>
	776	<div class="memdoc">
	777
	778	<p>
	779	Forward substitution of square matrix.
	780	<p>
	781	Solves Lx=b, where L is a lower triangular n by n matrix. Assumes that L is nonsingular. Requires n^2 flops. Uses Alg. 3.1.1 in Golub & van Loan "Matrix computations", 3rd ed., p. 89.
	782	<p>References <a class="el" href="itassert_8h-source.html#l00094">it_assert</a>.</p>
	783
	784	</div>
	785	</div><p>
	786	<a class="anchor" name="g06f1de8cabe1784c5a6d8e0704762421"></a><!-- doxytag: member="itpp::forward_substitution" ref="g06f1de8cabe1784c5a6d8e0704762421" args="(const mat &L, const vec &b)" -->
	787	<div class="memitem">
	788	<div class="memproto">
	789	<table class="memname">
	790	<tr>
	791	<td class="memname"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> itpp::forward_substitution </td>
	792	<td>(</td>
	793	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	794	<td class="paramname"> <em>L</em>, </td>
	795	</tr>
	796	<tr>
	797	<td class="paramkey"></td>
	798	<td></td>
	799	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	800	<td class="paramname"> <em>b</em></td><td> </td>
	801	</tr>
	802	<tr>
	803	<td></td>
	804	<td>)</td>
	805	<td></td><td></td><td></td>
	806	</tr>
	807	</table>
	808	</div>
	809	<div class="memdoc">
	810
	811	<p>
	812	Forward substitution of square matrix.
	813	<p>
	814	Solves Lx=b, where L is a lower triangular n by n matrix. Assumes that L is nonsingular. Requires n^2 flops. Uses Alg. 3.1.1 in Golub & van Loan "Matrix computations", 3rd ed., p. 89.
	815	<p>References <a class="el" href="ls__solve_8cpp-source.html#l00797">itpp::forward_substitution()</a>.</p>
	816
	817	</div>
	818	</div><p>
	819	<a class="anchor" name="g66c689c7c7dd59dcc617297e9e09674c"></a><!-- doxytag: member="itpp::ls_solve" ref="g66c689c7c7dd59dcc617297e9e09674c" args="(const cmat &A, const cmat &B)" -->
	820	<div class="memitem">
	821	<div class="memproto">
	822	<table class="memname">
	823	<tr>
	824	<td class="memname"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> itpp::ls_solve </td>
	825	<td>(</td>
	826	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	827	<td class="paramname"> <em>A</em>, </td>
	828	</tr>
	829	<tr>
	830	<td class="paramkey"></td>
	831	<td></td>
	832	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	833	<td class="paramname"> <em>B</em></td><td> </td>
	834	</tr>
	835	<tr>
	836	<td></td>
	837	<td>)</td>
	838	<td></td><td></td><td></td>
	839	</tr>
	840	</table>
	841	</div>
	842	<div class="memdoc">
	843
	844	<p>
	845	Solve multiple linear equations by LU factorisation.
	846	<p>
	847	Solves the linear system <img class="formulaInl" alt="$AX=B$" src="form_139.png">. Here <img class="formulaInl" alt="$A$" src="form_138.png"> is a nonsingular <img class="formulaInl" alt="$n \times n$" src="form_126.png"> matrix. Uses the LAPACK routine ZGESV.
	848	<p>References <a class="el" href="itassert_8h-source.html#l00107">it_assert_debug</a>.</p>
	849
	850	<p>Referenced by <a class="el" href="ls__solve_8cpp-source.html#l00651">itpp::backslash()</a>, and <a class="el" href="ls__solve_8cpp-source.html#l00294">itpp::ls_solve()</a>.</p>
	851
	852	</div>
	853	</div><p>
	854	<a class="anchor" name="gdc73f49e6f97f745b446a217801e8e76"></a><!-- doxytag: member="itpp::ls_solve" ref="gdc73f49e6f97f745b446a217801e8e76" args="(const cmat &A, const cmat &B, cmat &X)" -->
	855	<div class="memitem">
	856	<div class="memproto">
	857	<table class="memname">
	858	<tr>
	859	<td class="memname">bool itpp::ls_solve </td>
	860	<td>(</td>
	861	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	862	<td class="paramname"> <em>A</em>, </td>
	863	</tr>
	864	<tr>
	865	<td class="paramkey"></td>
	866	<td></td>
	867	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	868	<td class="paramname"> <em>B</em>, </td>
	869	</tr>
	870	<tr>
	871	<td class="paramkey"></td>
	872	<td></td>
	873	<td class="paramtype"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	874	<td class="paramname"> <em>X</em></td><td> </td>
	875	</tr>
	876	<tr>
	877	<td></td>
	878	<td>)</td>
	879	<td></td><td></td><td></td>
	880	</tr>
	881	</table>
	882	</div>
	883	<div class="memdoc">
	884
	885	<p>
	886	Solve multiple linear equations by LU factorisation.
	887	<p>
	888	Solves the linear system <img class="formulaInl" alt="$AX=B$" src="form_139.png">. Here <img class="formulaInl" alt="$A$" src="form_138.png"> is a nonsingular <img class="formulaInl" alt="$n \times n$" src="form_126.png"> matrix. Uses the LAPACK routine ZGESV.
	889	<p>References <a class="el" href="itassert_8h-source.html#l00126">it_error</a>.</p>
	890
	891	</div>
	892	</div><p>
	893	<a class="anchor" name="g79433271fb193f777f1527680a1f1f47"></a><!-- doxytag: member="itpp::ls_solve" ref="g79433271fb193f777f1527680a1f1f47" args="(const cmat &A, const cvec &b)" -->
	894	<div class="memitem">
	895	<div class="memproto">
	896	<table class="memname">
	897	<tr>
	898	<td class="memname"><a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> itpp::ls_solve </td>
	899	<td>(</td>
	900	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	901	<td class="paramname"> <em>A</em>, </td>
	902	</tr>
	903	<tr>
	904	<td class="paramkey"></td>
	905	<td></td>
	906	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> & </td>
	907	<td class="paramname"> <em>b</em></td><td> </td>
	908	</tr>
	909	<tr>
	910	<td></td>
	911	<td>)</td>
	912	<td></td><td></td><td></td>
	913	</tr>
	914	</table>
	915	</div>
	916	<div class="memdoc">
	917
	918	<p>
	919	Solve linear equation system by LU factorisation.
	920	<p>
	921	Solves the linear system <img class="formulaInl" alt="$Ax=b$" src="form_137.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a <img class="formulaInl" alt="$n \times n$" src="form_126.png"> matrix. Uses the LAPACK routine ZGESV.
	922	<p>References <a class="el" href="itassert_8h-source.html#l00107">it_assert_debug</a>, and <a class="el" href="ls__solve_8cpp-source.html#l00321">itpp::ls_solve()</a>.</p>
	923
	924	</div>
	925	</div><p>
	926	<a class="anchor" name="gf659f99b6d978e99a6109a4c4737d5e0"></a><!-- doxytag: member="itpp::ls_solve" ref="gf659f99b6d978e99a6109a4c4737d5e0" args="(const cmat &A, const cvec &b, cvec &x)" -->
	927	<div class="memitem">
	928	<div class="memproto">
	929	<table class="memname">
	930	<tr>
	931	<td class="memname">bool itpp::ls_solve </td>
	932	<td>(</td>
	933	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	934	<td class="paramname"> <em>A</em>, </td>
	935	</tr>
	936	<tr>
	937	<td class="paramkey"></td>
	938	<td></td>
	939	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> & </td>
	940	<td class="paramname"> <em>b</em>, </td>
	941	</tr>
	942	<tr>
	943	<td class="paramkey"></td>
	944	<td></td>
	945	<td class="paramtype"><a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> & </td>
	946	<td class="paramname"> <em>x</em></td><td> </td>
	947	</tr>
	948	<tr>
	949	<td></td>
	950	<td>)</td>
	951	<td></td><td></td><td></td>
	952	</tr>
	953	</table>
	954	</div>
	955	<div class="memdoc">
	956
	957	<p>
	958	Solve linear equation system by LU factorisation.
	959	<p>
	960	Solves the linear system <img class="formulaInl" alt="$Ax=b$" src="form_137.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a <img class="formulaInl" alt="$n \times n$" src="form_126.png"> matrix. Uses the LAPACK routine ZGESV.
	961	<p>References <a class="el" href="itassert_8h-source.html#l00126">it_error</a>.</p>
	962
	963	</div>
	964	</div><p>
	965	<a class="anchor" name="g5eeed005edd07d42bdac76efb95a10ef"></a><!-- doxytag: member="itpp::ls_solve" ref="g5eeed005edd07d42bdac76efb95a10ef" args="(const mat &A, const mat &B)" -->
	966	<div class="memitem">
	967	<div class="memproto">
	968	<table class="memname">
	969	<tr>
	970	<td class="memname"><a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> itpp::ls_solve </td>
	971	<td>(</td>
	972	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	973	<td class="paramname"> <em>A</em>, </td>
	974	</tr>
	975	<tr>
	976	<td class="paramkey"></td>
	977	<td></td>
	978	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	979	<td class="paramname"> <em>B</em></td><td> </td>
	980	</tr>
	981	<tr>
	982	<td></td>
	983	<td>)</td>
	984	<td></td><td></td><td></td>
	985	</tr>
	986	</table>
	987	</div>
	988	<div class="memdoc">
	989
	990	<p>
	991	Solve multiple linear equations by LU factorisation.
	992	<p>
	993	Solves the linear system <img class="formulaInl" alt="$AX=B$" src="form_139.png">. Here <img class="formulaInl" alt="$A$" src="form_138.png"> is a nonsingular <img class="formulaInl" alt="$n \times n$" src="form_126.png"> matrix. Uses the LAPACK routine DGESV.
	994	<p>References <a class="el" href="itassert_8h-source.html#l00107">it_assert_debug</a>, and <a class="el" href="ls__solve_8cpp-source.html#l00321">itpp::ls_solve()</a>.</p>
	995
	996	</div>
	997	</div><p>
	998	<a class="anchor" name="g0e8044324a0dab0ab034bb7d969d3545"></a><!-- doxytag: member="itpp::ls_solve" ref="g0e8044324a0dab0ab034bb7d969d3545" args="(const mat &A, const mat &B, mat &X)" -->
	999	<div class="memitem">
	1000	<div class="memproto">
	1001	<table class="memname">
	1002	<tr>
	1003	<td class="memname">bool itpp::ls_solve </td>
	1004	<td>(</td>
	1005	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1006	<td class="paramname"> <em>A</em>, </td>
	1007	</tr>
	1008	<tr>
	1009	<td class="paramkey"></td>
	1010	<td></td>
	1011	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1012	<td class="paramname"> <em>B</em>, </td>
	1013	</tr>
	1014	<tr>
	1015	<td class="paramkey"></td>
	1016	<td></td>
	1017	<td class="paramtype"><a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1018	<td class="paramname"> <em>X</em></td><td> </td>
	1019	</tr>
	1020	<tr>
	1021	<td></td>
	1022	<td>)</td>
	1023	<td></td><td></td><td></td>
	1024	</tr>
	1025	</table>
	1026	</div>
	1027	<div class="memdoc">
	1028
	1029	<p>
	1030	Solve multiple linear equations by LU factorisation.
	1031	<p>
	1032	Solves the linear system <img class="formulaInl" alt="$AX=B$" src="form_139.png">. Here <img class="formulaInl" alt="$A$" src="form_138.png"> is a nonsingular <img class="formulaInl" alt="$n \times n$" src="form_126.png"> matrix. Uses the LAPACK routine DGESV.
	1033	<p>References <a class="el" href="itassert_8h-source.html#l00126">it_error</a>.</p>
	1034
	1035	</div>
	1036	</div><p>
	1037	<a class="anchor" name="g2b851be69935d19a71af456172dcd66a"></a><!-- doxytag: member="itpp::ls_solve" ref="g2b851be69935d19a71af456172dcd66a" args="(const mat &A, const vec &b)" -->
	1038	<div class="memitem">
	1039	<div class="memproto">
	1040	<table class="memname">
	1041	<tr>
	1042	<td class="memname"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> itpp::ls_solve </td>
	1043	<td>(</td>
	1044	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1045	<td class="paramname"> <em>A</em>, </td>
	1046	</tr>
	1047	<tr>
	1048	<td class="paramkey"></td>
	1049	<td></td>
	1050	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	1051	<td class="paramname"> <em>b</em></td><td> </td>
	1052	</tr>
	1053	<tr>
	1054	<td></td>
	1055	<td>)</td>
	1056	<td></td><td></td><td></td>
	1057	</tr>
	1058	</table>
	1059	</div>
	1060	<div class="memdoc">
	1061
	1062	<p>
	1063	Solve linear equation system by LU factorisation.
	1064	<p>
	1065	Solves the linear system <img class="formulaInl" alt="$Ax=b$" src="form_137.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a <img class="formulaInl" alt="$n \times n$" src="form_126.png"> matrix. Uses the LAPACK routine DGESV.
	1066	<p>References <a class="el" href="itassert_8h-source.html#l00107">it_assert_debug</a>, and <a class="el" href="ls__solve_8cpp-source.html#l00321">itpp::ls_solve()</a>.</p>
	1067
	1068	</div>
	1069	</div><p>
	1070	<a class="anchor" name="gd681464dcc43a1dd566a047a8703d1b0"></a><!-- doxytag: member="itpp::ls_solve" ref="gd681464dcc43a1dd566a047a8703d1b0" args="(const mat &A, const vec &b, vec &x)" -->
	1071	<div class="memitem">
	1072	<div class="memproto">
	1073	<table class="memname">
	1074	<tr>
	1075	<td class="memname">bool itpp::ls_solve </td>
	1076	<td>(</td>
	1077	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1078	<td class="paramname"> <em>A</em>, </td>
	1079	</tr>
	1080	<tr>
	1081	<td class="paramkey"></td>
	1082	<td></td>
	1083	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	1084	<td class="paramname"> <em>b</em>, </td>
	1085	</tr>
	1086	<tr>
	1087	<td class="paramkey"></td>
	1088	<td></td>
	1089	<td class="paramtype"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	1090	<td class="paramname"> <em>x</em></td><td> </td>
	1091	</tr>
	1092	<tr>
	1093	<td></td>
	1094	<td>)</td>
	1095	<td></td><td></td><td></td>
	1096	</tr>
	1097	</table>
	1098	</div>
	1099	<div class="memdoc">
	1100
	1101	<p>
	1102	Solve linear equation system by LU factorisation.
	1103	<p>
	1104	Solves the linear system <img class="formulaInl" alt="$Ax=b$" src="form_137.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a <img class="formulaInl" alt="$n \times n$" src="form_126.png"> matrix. Uses the LAPACK routine DGESV.
	1105	<p>References <a class="el" href="itassert_8h-source.html#l00126">it_error</a>.</p>
	1106
	1107	</div>
	1108	</div><p>
	1109	<a class="anchor" name="g682ef1051b2386ed6e47c328617f46d1"></a><!-- doxytag: member="itpp::ls_solve_chol" ref="g682ef1051b2386ed6e47c328617f46d1" args="(const cmat &A, const cmat &B)" -->
	1110	<div class="memitem">
	1111	<div class="memproto">
	1112	<table class="memname">
	1113	<tr>
	1114	<td class="memname"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> itpp::ls_solve_chol </td>
	1115	<td>(</td>
	1116	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1117	<td class="paramname"> <em>A</em>, </td>
	1118	</tr>
	1119	<tr>
	1120	<td class="paramkey"></td>
	1121	<td></td>
	1122	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1123	<td class="paramname"> <em>B</em></td><td> </td>
	1124	</tr>
	1125	<tr>
	1126	<td></td>
	1127	<td>)</td>
	1128	<td></td><td></td><td></td>
	1129	</tr>
	1130	</table>
	1131	</div>
	1132	<div class="memdoc">
	1133
	1134	<p>
	1135	Solve linear equation system by Cholesky factorisation.
	1136	<p>
	1137	Solves the linear system <img class="formulaInl" alt="$AX=B$" src="form_139.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a Hermitian positive definite <img class="formulaInl" alt="$n \times n$" src="form_126.png"> matrix. Uses the LAPACK routine ZPOSV.
	1138	<p>References <a class="el" href="itassert_8h-source.html#l00107">it_assert_debug</a>.</p>
	1139
	1140	<p>Referenced by <a class="el" href="ls__solve_8cpp-source.html#l00154">itpp::ls_solve_chol()</a>.</p>
	1141
	1142	</div>
	1143	</div><p>
	1144	<a class="anchor" name="g114a7fea819005a29739d244fd5a5a55"></a><!-- doxytag: member="itpp::ls_solve_chol" ref="g114a7fea819005a29739d244fd5a5a55" args="(const cmat &A, const cmat &B, cmat &X)" -->
	1145	<div class="memitem">
	1146	<div class="memproto">
	1147	<table class="memname">
	1148	<tr>
	1149	<td class="memname">bool itpp::ls_solve_chol </td>
	1150	<td>(</td>
	1151	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1152	<td class="paramname"> <em>A</em>, </td>
	1153	</tr>
	1154	<tr>
	1155	<td class="paramkey"></td>
	1156	<td></td>
	1157	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1158	<td class="paramname"> <em>B</em>, </td>
	1159	</tr>
	1160	<tr>
	1161	<td class="paramkey"></td>
	1162	<td></td>
	1163	<td class="paramtype"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1164	<td class="paramname"> <em>X</em></td><td> </td>
	1165	</tr>
	1166	<tr>
	1167	<td></td>
	1168	<td>)</td>
	1169	<td></td><td></td><td></td>
	1170	</tr>
	1171	</table>
	1172	</div>
	1173	<div class="memdoc">
	1174
	1175	<p>
	1176	Solve linear equation system by Cholesky factorisation.
	1177	<p>
	1178	Solves the linear system <img class="formulaInl" alt="$AX=B$" src="form_139.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a Hermitian positive definite <img class="formulaInl" alt="$n \times n$" src="form_126.png"> matrix. Uses the LAPACK routine ZPOSV.
	1179	<p>References <a class="el" href="itassert_8h-source.html#l00126">it_error</a>.</p>
	1180
	1181	</div>
	1182	</div><p>
	1183	<a class="anchor" name="gc19522b8a7120792c41acce0f3436893"></a><!-- doxytag: member="itpp::ls_solve_chol" ref="gc19522b8a7120792c41acce0f3436893" args="(const cmat &A, const cvec &b)" -->
	1184	<div class="memitem">
	1185	<div class="memproto">
	1186	<table class="memname">
	1187	<tr>
	1188	<td class="memname"><a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> itpp::ls_solve_chol </td>
	1189	<td>(</td>
	1190	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1191	<td class="paramname"> <em>A</em>, </td>
	1192	</tr>
	1193	<tr>
	1194	<td class="paramkey"></td>
	1195	<td></td>
	1196	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> & </td>
	1197	<td class="paramname"> <em>b</em></td><td> </td>
	1198	</tr>
	1199	<tr>
	1200	<td></td>
	1201	<td>)</td>
	1202	<td></td><td></td><td></td>
	1203	</tr>
	1204	</table>
	1205	</div>
	1206	<div class="memdoc">
	1207
	1208	<p>
	1209	Solve linear equation system by Cholesky factorisation.
	1210	<p>
	1211	Solves the linear system <img class="formulaInl" alt="$Ax=b$" src="form_137.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a Hermitian positive definite <img class="formulaInl" alt="$n \times n$" src="form_126.png"> matrix. Uses the LAPACK routine ZPOSV.
	1212	<p>References <a class="el" href="itassert_8h-source.html#l00107">it_assert_debug</a>, and <a class="el" href="ls__solve_8cpp-source.html#l00181">itpp::ls_solve_chol()</a>.</p>
	1213
	1214	</div>
	1215	</div><p>
	1216	<a class="anchor" name="g6a49b9cd956395fd93c5c4f550c2b1d6"></a><!-- doxytag: member="itpp::ls_solve_chol" ref="g6a49b9cd956395fd93c5c4f550c2b1d6" args="(const cmat &A, const cvec &b, cvec &x)" -->
	1217	<div class="memitem">
	1218	<div class="memproto">
	1219	<table class="memname">
	1220	<tr>
	1221	<td class="memname">bool itpp::ls_solve_chol </td>
	1222	<td>(</td>
	1223	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1224	<td class="paramname"> <em>A</em>, </td>
	1225	</tr>
	1226	<tr>
	1227	<td class="paramkey"></td>
	1228	<td></td>
	1229	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> & </td>
	1230	<td class="paramname"> <em>b</em>, </td>
	1231	</tr>
	1232	<tr>
	1233	<td class="paramkey"></td>
	1234	<td></td>
	1235	<td class="paramtype"><a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> & </td>
	1236	<td class="paramname"> <em>x</em></td><td> </td>
	1237	</tr>
	1238	<tr>
	1239	<td></td>
	1240	<td>)</td>
	1241	<td></td><td></td><td></td>
	1242	</tr>
	1243	</table>
	1244	</div>
	1245	<div class="memdoc">
	1246
	1247	<p>
	1248	Solve linear equation system by Cholesky factorisation.
	1249	<p>
	1250	Solves the linear system <img class="formulaInl" alt="$Ax=b$" src="form_137.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a Hermitian positive definite <img class="formulaInl" alt="$n \times n$" src="form_126.png"> matrix. Uses the LAPACK routine ZPOSV.
	1251	<p>References <a class="el" href="itassert_8h-source.html#l00126">it_error</a>.</p>
	1252
	1253	</div>
	1254	</div><p>
	1255	<a class="anchor" name="g7bdc6bb93ecfe978d4a422fa94c05156"></a><!-- doxytag: member="itpp::ls_solve_chol" ref="g7bdc6bb93ecfe978d4a422fa94c05156" args="(const mat &A, const mat &B)" -->
	1256	<div class="memitem">
	1257	<div class="memproto">
	1258	<table class="memname">
	1259	<tr>
	1260	<td class="memname"><a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> itpp::ls_solve_chol </td>
	1261	<td>(</td>
	1262	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1263	<td class="paramname"> <em>A</em>, </td>
	1264	</tr>
	1265	<tr>
	1266	<td class="paramkey"></td>
	1267	<td></td>
	1268	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1269	<td class="paramname"> <em>B</em></td><td> </td>
	1270	</tr>
	1271	<tr>
	1272	<td></td>
	1273	<td>)</td>
	1274	<td></td><td></td><td></td>
	1275	</tr>
	1276	</table>
	1277	</div>
	1278	<div class="memdoc">
	1279
	1280	<p>
	1281	Solve linear equation system by Cholesky factorisation.
	1282	<p>
	1283	Solves the linear system <img class="formulaInl" alt="$AX=B$" src="form_139.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a symmetric positive definite <img class="formulaInl" alt="$n \times n$" src="form_126.png"> matrix. Uses the LAPACK routine DPOSV.
	1284	<p>References <a class="el" href="itassert_8h-source.html#l00107">it_assert_debug</a>, and <a class="el" href="ls__solve_8cpp-source.html#l00181">itpp::ls_solve_chol()</a>.</p>
	1285
	1286	</div>
	1287	</div><p>
	1288	<a class="anchor" name="gbeee00983a1f1f68cd998aaebe32b1d2"></a><!-- doxytag: member="itpp::ls_solve_chol" ref="gbeee00983a1f1f68cd998aaebe32b1d2" args="(const mat &A, const mat &B, mat &X)" -->
	1289	<div class="memitem">
	1290	<div class="memproto">
	1291	<table class="memname">
	1292	<tr>
	1293	<td class="memname">bool itpp::ls_solve_chol </td>
	1294	<td>(</td>
	1295	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1296	<td class="paramname"> <em>A</em>, </td>
	1297	</tr>
	1298	<tr>
	1299	<td class="paramkey"></td>
	1300	<td></td>
	1301	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1302	<td class="paramname"> <em>B</em>, </td>
	1303	</tr>
	1304	<tr>
	1305	<td class="paramkey"></td>
	1306	<td></td>
	1307	<td class="paramtype"><a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1308	<td class="paramname"> <em>X</em></td><td> </td>
	1309	</tr>
	1310	<tr>
	1311	<td></td>
	1312	<td>)</td>
	1313	<td></td><td></td><td></td>
	1314	</tr>
	1315	</table>
	1316	</div>
	1317	<div class="memdoc">
	1318
	1319	<p>
	1320	Solve linear equation system by Cholesky factorisation.
	1321	<p>
	1322	Solves the linear system <img class="formulaInl" alt="$AX=B$" src="form_139.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a symmetric positive definite <img class="formulaInl" alt="$n \times n$" src="form_126.png"> matrix. Uses the LAPACK routine DPOSV.
	1323	<p>References <a class="el" href="itassert_8h-source.html#l00126">it_error</a>.</p>
	1324
	1325	</div>
	1326	</div><p>
	1327	<a class="anchor" name="ga46b244841f3ec438f1e41191757be39"></a><!-- doxytag: member="itpp::ls_solve_chol" ref="ga46b244841f3ec438f1e41191757be39" args="(const mat &A, const vec &b)" -->
	1328	<div class="memitem">
	1329	<div class="memproto">
	1330	<table class="memname">
	1331	<tr>
	1332	<td class="memname"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> itpp::ls_solve_chol </td>
	1333	<td>(</td>
	1334	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1335	<td class="paramname"> <em>A</em>, </td>
	1336	</tr>
	1337	<tr>
	1338	<td class="paramkey"></td>
	1339	<td></td>
	1340	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	1341	<td class="paramname"> <em>b</em></td><td> </td>
	1342	</tr>
	1343	<tr>
	1344	<td></td>
	1345	<td>)</td>
	1346	<td></td><td></td><td></td>
	1347	</tr>
	1348	</table>
	1349	</div>
	1350	<div class="memdoc">
	1351
	1352	<p>
	1353	Solve linear equation system by Cholesky factorisation.
	1354	<p>
	1355	Solves the linear system <img class="formulaInl" alt="$Ax=b$" src="form_137.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a symmetric positive definite <img class="formulaInl" alt="$n \times n$" src="form_126.png"> matrix. Uses the LAPACK routine DPOSV.
	1356	<p>References <a class="el" href="itassert_8h-source.html#l00107">it_assert_debug</a>, and <a class="el" href="ls__solve_8cpp-source.html#l00181">itpp::ls_solve_chol()</a>.</p>
	1357
	1358	</div>
	1359	</div><p>
	1360	<a class="anchor" name="g79c944eae1622c51102e29c710f599a6"></a><!-- doxytag: member="itpp::ls_solve_chol" ref="g79c944eae1622c51102e29c710f599a6" args="(const mat &A, const vec &b, vec &x)" -->
	1361	<div class="memitem">
	1362	<div class="memproto">
	1363	<table class="memname">
	1364	<tr>
	1365	<td class="memname">bool itpp::ls_solve_chol </td>
	1366	<td>(</td>
	1367	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1368	<td class="paramname"> <em>A</em>, </td>
	1369	</tr>
	1370	<tr>
	1371	<td class="paramkey"></td>
	1372	<td></td>
	1373	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	1374	<td class="paramname"> <em>b</em>, </td>
	1375	</tr>
	1376	<tr>
	1377	<td class="paramkey"></td>
	1378	<td></td>
	1379	<td class="paramtype"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	1380	<td class="paramname"> <em>x</em></td><td> </td>
	1381	</tr>
	1382	<tr>
	1383	<td></td>
	1384	<td>)</td>
	1385	<td></td><td></td><td></td>
	1386	</tr>
	1387	</table>
	1388	</div>
	1389	<div class="memdoc">
	1390
	1391	<p>
	1392	Solve linear equation system by Cholesky factorisation.
	1393	<p>
	1394	Solves the linear system <img class="formulaInl" alt="$Ax=b$" src="form_137.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a symmetric positive definite <img class="formulaInl" alt="$n \times n$" src="form_126.png"> matrix. Uses the LAPACK routine DPOSV.
	1395	<p>References <a class="el" href="itassert_8h-source.html#l00126">it_error</a>.</p>
	1396
	1397	</div>
	1398	</div><p>
	1399	<a class="anchor" name="g60f41335126f7c70973f95ff8147fbfd"></a><!-- doxytag: member="itpp::ls_solve_od" ref="g60f41335126f7c70973f95ff8147fbfd" args="(const cmat &A, const cmat &B)" -->
	1400	<div class="memitem">
	1401	<div class="memproto">
	1402	<table class="memname">
	1403	<tr>
	1404	<td class="memname"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> itpp::ls_solve_od </td>
	1405	<td>(</td>
	1406	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1407	<td class="paramname"> <em>A</em>, </td>
	1408	</tr>
	1409	<tr>
	1410	<td class="paramkey"></td>
	1411	<td></td>
	1412	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1413	<td class="paramname"> <em>B</em></td><td> </td>
	1414	</tr>
	1415	<tr>
	1416	<td></td>
	1417	<td>)</td>
	1418	<td></td><td></td><td></td>
	1419	</tr>
	1420	</table>
	1421	</div>
	1422	<div class="memdoc">
	1423
	1424	<p>
	1425	Solves overdetermined linear equation systems.
	1426	<p>
	1427	Solves the overdetermined linear system <img class="formulaInl" alt="$AX=B$" src="form_139.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a <img class="formulaInl" alt="$m \times n$" src="form_140.png"> matrix and <img class="formulaInl" alt="$m \geq n$" src="form_141.png">. Uses QR-factorization and assumes that <img class="formulaInl" alt="$A$" src="form_138.png"> is full rank. Based on the LAPACK routine ZGELS.
	1428	<p>References <a class="el" href="itassert_8h-source.html#l00107">it_assert_debug</a>.</p>
	1429
	1430	<p>Referenced by <a class="el" href="ls__solve_8cpp-source.html#l00651">itpp::backslash()</a>, and <a class="el" href="ls__solve_8cpp-source.html#l00450">itpp::ls_solve_od()</a>.</p>
	1431
	1432	</div>
	1433	</div><p>
	1434	<a class="anchor" name="g4beeb59f1d32fc7c19b04ad3d7d5c210"></a><!-- doxytag: member="itpp::ls_solve_od" ref="g4beeb59f1d32fc7c19b04ad3d7d5c210" args="(const cmat &A, const cmat &B, cmat &X)" -->
	1435	<div class="memitem">
	1436	<div class="memproto">
	1437	<table class="memname">
	1438	<tr>
	1439	<td class="memname">bool itpp::ls_solve_od </td>
	1440	<td>(</td>
	1441	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1442	<td class="paramname"> <em>A</em>, </td>
	1443	</tr>
	1444	<tr>
	1445	<td class="paramkey"></td>
	1446	<td></td>
	1447	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1448	<td class="paramname"> <em>B</em>, </td>
	1449	</tr>
	1450	<tr>
	1451	<td class="paramkey"></td>
	1452	<td></td>
	1453	<td class="paramtype"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1454	<td class="paramname"> <em>X</em></td><td> </td>
	1455	</tr>
	1456	<tr>
	1457	<td></td>
	1458	<td>)</td>
	1459	<td></td><td></td><td></td>
	1460	</tr>
	1461	</table>
	1462	</div>
	1463	<div class="memdoc">
	1464
	1465	<p>
	1466	Solves overdetermined linear equation systems.
	1467	<p>
	1468	Solves the overdetermined linear system <img class="formulaInl" alt="$AX=B$" src="form_139.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a <img class="formulaInl" alt="$m \times n$" src="form_140.png"> matrix and <img class="formulaInl" alt="$m \geq n$" src="form_141.png">. Uses QR-factorization and assumes that <img class="formulaInl" alt="$A$" src="form_138.png"> is full rank. Based on the LAPACK routine ZGELS.
	1469	<p>References <a class="el" href="itassert_8h-source.html#l00126">it_error</a>.</p>
	1470
	1471	</div>
	1472	</div><p>
	1473	<a class="anchor" name="g221d32bcf3790e81bbc73001fb3c7d1c"></a><!-- doxytag: member="itpp::ls_solve_od" ref="g221d32bcf3790e81bbc73001fb3c7d1c" args="(const cmat &A, const cvec &b)" -->
	1474	<div class="memitem">
	1475	<div class="memproto">
	1476	<table class="memname">
	1477	<tr>
	1478	<td class="memname"><a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> itpp::ls_solve_od </td>
	1479	<td>(</td>
	1480	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1481	<td class="paramname"> <em>A</em>, </td>
	1482	</tr>
	1483	<tr>
	1484	<td class="paramkey"></td>
	1485	<td></td>
	1486	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> & </td>
	1487	<td class="paramname"> <em>b</em></td><td> </td>
	1488	</tr>
	1489	<tr>
	1490	<td></td>
	1491	<td>)</td>
	1492	<td></td><td></td><td></td>
	1493	</tr>
	1494	</table>
	1495	</div>
	1496	<div class="memdoc">
	1497
	1498	<p>
	1499	Solves overdetermined linear equation systems.
	1500	<p>
	1501	Solves the overdetermined linear system <img class="formulaInl" alt="$Ax=b$" src="form_137.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a <img class="formulaInl" alt="$m \times n$" src="form_140.png"> matrix and <img class="formulaInl" alt="$m \geq n$" src="form_141.png">. Uses QR-factorization and assumes that <img class="formulaInl" alt="$A$" src="form_138.png"> is full rank. Based on the LAPACK routine ZGELS.
	1502	<p>References <a class="el" href="itassert_8h-source.html#l00107">it_assert_debug</a>, and <a class="el" href="ls__solve_8cpp-source.html#l00477">itpp::ls_solve_od()</a>.</p>
	1503
	1504	</div>
	1505	</div><p>
	1506	<a class="anchor" name="g23ed5ee5dee16412e2751e9bcedb449d"></a><!-- doxytag: member="itpp::ls_solve_od" ref="g23ed5ee5dee16412e2751e9bcedb449d" args="(const cmat &A, const cvec &b, cvec &x)" -->
	1507	<div class="memitem">
	1508	<div class="memproto">
	1509	<table class="memname">
	1510	<tr>
	1511	<td class="memname">bool itpp::ls_solve_od </td>
	1512	<td>(</td>
	1513	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1514	<td class="paramname"> <em>A</em>, </td>
	1515	</tr>
	1516	<tr>
	1517	<td class="paramkey"></td>
	1518	<td></td>
	1519	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> & </td>
	1520	<td class="paramname"> <em>b</em>, </td>
	1521	</tr>
	1522	<tr>
	1523	<td class="paramkey"></td>
	1524	<td></td>
	1525	<td class="paramtype"><a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> & </td>
	1526	<td class="paramname"> <em>x</em></td><td> </td>
	1527	</tr>
	1528	<tr>
	1529	<td></td>
	1530	<td>)</td>
	1531	<td></td><td></td><td></td>
	1532	</tr>
	1533	</table>
	1534	</div>
	1535	<div class="memdoc">
	1536
	1537	<p>
	1538	Solves overdetermined linear equation systems.
	1539	<p>
	1540	Solves the overdetermined linear system <img class="formulaInl" alt="$Ax=b$" src="form_137.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a <img class="formulaInl" alt="$m \times n$" src="form_140.png"> matrix and <img class="formulaInl" alt="$m \geq n$" src="form_141.png">. Uses QR-factorization and is built upon the LAPACK routine ZGELS.
	1541	<p>References <a class="el" href="itassert_8h-source.html#l00126">it_error</a>.</p>
	1542
	1543	</div>
	1544	</div><p>
	1545	<a class="anchor" name="gd93074c8c7c9e3b98b2888365abe7fca"></a><!-- doxytag: member="itpp::ls_solve_od" ref="gd93074c8c7c9e3b98b2888365abe7fca" args="(const mat &A, const mat &B)" -->
	1546	<div class="memitem">
	1547	<div class="memproto">
	1548	<table class="memname">
	1549	<tr>
	1550	<td class="memname"><a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> itpp::ls_solve_od </td>
	1551	<td>(</td>
	1552	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1553	<td class="paramname"> <em>A</em>, </td>
	1554	</tr>
	1555	<tr>
	1556	<td class="paramkey"></td>
	1557	<td></td>
	1558	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1559	<td class="paramname"> <em>B</em></td><td> </td>
	1560	</tr>
	1561	<tr>
	1562	<td></td>
	1563	<td>)</td>
	1564	<td></td><td></td><td></td>
	1565	</tr>
	1566	</table>
	1567	</div>
	1568	<div class="memdoc">
	1569
	1570	<p>
	1571	Solves overdetermined linear equation systems.
	1572	<p>
	1573	Solves the overdetermined linear system <img class="formulaInl" alt="$AX=B$" src="form_139.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a <img class="formulaInl" alt="$m \times n$" src="form_140.png"> matrix and <img class="formulaInl" alt="$m \geq n$" src="form_141.png">. Uses QR-factorization and assumes that <img class="formulaInl" alt="$A$" src="form_138.png"> is full rank. Based on the LAPACK routine DGELS.
	1574	<p>References <a class="el" href="itassert_8h-source.html#l00107">it_assert_debug</a>, and <a class="el" href="ls__solve_8cpp-source.html#l00477">itpp::ls_solve_od()</a>.</p>
	1575
	1576	</div>
	1577	</div><p>
	1578	<a class="anchor" name="gfa445fa4f699c7ca17b7b6475d40969d"></a><!-- doxytag: member="itpp::ls_solve_od" ref="gfa445fa4f699c7ca17b7b6475d40969d" args="(const mat &A, const mat &B, mat &X)" -->
	1579	<div class="memitem">
	1580	<div class="memproto">
	1581	<table class="memname">
	1582	<tr>
	1583	<td class="memname">bool itpp::ls_solve_od </td>
	1584	<td>(</td>
	1585	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1586	<td class="paramname"> <em>A</em>, </td>
	1587	</tr>
	1588	<tr>
	1589	<td class="paramkey"></td>
	1590	<td></td>
	1591	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1592	<td class="paramname"> <em>B</em>, </td>
	1593	</tr>
	1594	<tr>
	1595	<td class="paramkey"></td>
	1596	<td></td>
	1597	<td class="paramtype"><a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1598	<td class="paramname"> <em>X</em></td><td> </td>
	1599	</tr>
	1600	<tr>
	1601	<td></td>
	1602	<td>)</td>
	1603	<td></td><td></td><td></td>
	1604	</tr>
	1605	</table>
	1606	</div>
	1607	<div class="memdoc">
	1608
	1609	<p>
	1610	Solves overdetermined linear equation systems.
	1611	<p>
	1612	Solves the overdetermined linear system <img class="formulaInl" alt="$AX=B$" src="form_139.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a <img class="formulaInl" alt="$m \times n$" src="form_140.png"> matrix and <img class="formulaInl" alt="$m \geq n$" src="form_141.png">. Uses QR-factorization and assumes that <img class="formulaInl" alt="$A$" src="form_138.png"> is full rank. Based on the LAPACK routine DGELS.
	1613	<p>References <a class="el" href="itassert_8h-source.html#l00126">it_error</a>.</p>
	1614
	1615	</div>
	1616	</div><p>
	1617	<a class="anchor" name="g635550ec883953a711dd5f658a164671"></a><!-- doxytag: member="itpp::ls_solve_od" ref="g635550ec883953a711dd5f658a164671" args="(const mat &A, const vec &b)" -->
	1618	<div class="memitem">
	1619	<div class="memproto">
	1620	<table class="memname">
	1621	<tr>
	1622	<td class="memname"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> itpp::ls_solve_od </td>
	1623	<td>(</td>
	1624	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1625	<td class="paramname"> <em>A</em>, </td>
	1626	</tr>
	1627	<tr>
	1628	<td class="paramkey"></td>
	1629	<td></td>
	1630	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	1631	<td class="paramname"> <em>b</em></td><td> </td>
	1632	</tr>
	1633	<tr>
	1634	<td></td>
	1635	<td>)</td>
	1636	<td></td><td></td><td></td>
	1637	</tr>
	1638	</table>
	1639	</div>
	1640	<div class="memdoc">
	1641
	1642	<p>
	1643	Solves overdetermined linear equation systems.
	1644	<p>
	1645	Solves the overdetermined linear system <img class="formulaInl" alt="$Ax=b$" src="form_137.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a <img class="formulaInl" alt="$m \times n$" src="form_140.png"> matrix and <img class="formulaInl" alt="$m \geq n$" src="form_141.png">. Uses QR-factorization and assumes that <img class="formulaInl" alt="$A$" src="form_138.png"> is full rank. Based on the LAPACK routine DGELS.
	1646	<p>References <a class="el" href="itassert_8h-source.html#l00107">it_assert_debug</a>, and <a class="el" href="ls__solve_8cpp-source.html#l00477">itpp::ls_solve_od()</a>.</p>
	1647
	1648	</div>
	1649	</div><p>
	1650	<a class="anchor" name="g618ea65fa1f15fd2e09c61765da06fac"></a><!-- doxytag: member="itpp::ls_solve_od" ref="g618ea65fa1f15fd2e09c61765da06fac" args="(const mat &A, const vec &b, vec &x)" -->
	1651	<div class="memitem">
	1652	<div class="memproto">
	1653	<table class="memname">
	1654	<tr>
	1655	<td class="memname">bool itpp::ls_solve_od </td>
	1656	<td>(</td>
	1657	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1658	<td class="paramname"> <em>A</em>, </td>
	1659	</tr>
	1660	<tr>
	1661	<td class="paramkey"></td>
	1662	<td></td>
	1663	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	1664	<td class="paramname"> <em>b</em>, </td>
	1665	</tr>
	1666	<tr>
	1667	<td class="paramkey"></td>
	1668	<td></td>
	1669	<td class="paramtype"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	1670	<td class="paramname"> <em>x</em></td><td> </td>
	1671	</tr>
	1672	<tr>
	1673	<td></td>
	1674	<td>)</td>
	1675	<td></td><td></td><td></td>
	1676	</tr>
	1677	</table>
	1678	</div>
	1679	<div class="memdoc">
	1680
	1681	<p>
	1682	Solves overdetermined linear equation systems.
	1683	<p>
	1684	Solves the overdetermined linear system <img class="formulaInl" alt="$Ax=b$" src="form_137.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a <img class="formulaInl" alt="$m \times n$" src="form_140.png"> matrix and <img class="formulaInl" alt="$m \geq n$" src="form_141.png">. Uses QR-factorization and is built upon the LAPACK routine DGELS.
	1685	<p>References <a class="el" href="itassert_8h-source.html#l00126">it_error</a>.</p>
	1686
	1687	</div>
	1688	</div><p>
	1689	<a class="anchor" name="g67f1f4ffa7b7ea7bdb0c2d8276b58988"></a><!-- doxytag: member="itpp::ls_solve_ud" ref="g67f1f4ffa7b7ea7bdb0c2d8276b58988" args="(const cmat &A, const cmat &B)" -->
	1690	<div class="memitem">
	1691	<div class="memproto">
	1692	<table class="memname">
	1693	<tr>
	1694	<td class="memname"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> itpp::ls_solve_ud </td>
	1695	<td>(</td>
	1696	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1697	<td class="paramname"> <em>A</em>, </td>
	1698	</tr>
	1699	<tr>
	1700	<td class="paramkey"></td>
	1701	<td></td>
	1702	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1703	<td class="paramname"> <em>B</em></td><td> </td>
	1704	</tr>
	1705	<tr>
	1706	<td></td>
	1707	<td>)</td>
	1708	<td></td><td></td><td></td>
	1709	</tr>
	1710	</table>
	1711	</div>
	1712	<div class="memdoc">
	1713
	1714	<p>
	1715	Solves underdetermined linear equation systems.
	1716	<p>
	1717	Solves the underdetermined linear system <img class="formulaInl" alt="$AX=B$" src="form_139.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a <img class="formulaInl" alt="$m \times n$" src="form_140.png"> matrix and <img class="formulaInl" alt="$m \leq n$" src="form_142.png">. Uses LQ-factorization and assumes that <img class="formulaInl" alt="$A$" src="form_138.png"> is full rank. Based on the LAPACK routine ZGELS.
	1718	<p>References <a class="el" href="itassert_8h-source.html#l00107">it_assert_debug</a>.</p>
	1719
	1720	<p>Referenced by <a class="el" href="ls__solve_8cpp-source.html#l00651">itpp::backslash()</a>, and <a class="el" href="ls__solve_8cpp-source.html#l00612">itpp::ls_solve_ud()</a>.</p>
	1721
	1722	</div>
	1723	</div><p>
	1724	<a class="anchor" name="g5a070b09b70e0cbf95a72c76f0b4f975"></a><!-- doxytag: member="itpp::ls_solve_ud" ref="g5a070b09b70e0cbf95a72c76f0b4f975" args="(const cmat &A, const cmat &B, cmat &X)" -->
	1725	<div class="memitem">
	1726	<div class="memproto">
	1727	<table class="memname">
	1728	<tr>
	1729	<td class="memname">bool itpp::ls_solve_ud </td>
	1730	<td>(</td>
	1731	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1732	<td class="paramname"> <em>A</em>, </td>
	1733	</tr>
	1734	<tr>
	1735	<td class="paramkey"></td>
	1736	<td></td>
	1737	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1738	<td class="paramname"> <em>B</em>, </td>
	1739	</tr>
	1740	<tr>
	1741	<td class="paramkey"></td>
	1742	<td></td>
	1743	<td class="paramtype"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1744	<td class="paramname"> <em>X</em></td><td> </td>
	1745	</tr>
	1746	<tr>
	1747	<td></td>
	1748	<td>)</td>
	1749	<td></td><td></td><td></td>
	1750	</tr>
	1751	</table>
	1752	</div>
	1753	<div class="memdoc">
	1754
	1755	<p>
	1756	Solves underdetermined linear equation systems.
	1757	<p>
	1758	Solves the underdetermined linear system <img class="formulaInl" alt="$AX=B$" src="form_139.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a <img class="formulaInl" alt="$m \times n$" src="form_140.png"> matrix and <img class="formulaInl" alt="$m \leq n$" src="form_142.png">. Uses LQ-factorization and assumes that <img class="formulaInl" alt="$A$" src="form_138.png"> is full rank. Based on the LAPACK routine ZGELS.
	1759	<p>References <a class="el" href="itassert_8h-source.html#l00126">it_error</a>.</p>
	1760
	1761	</div>
	1762	</div><p>
	1763	<a class="anchor" name="g126eb1902b5853564750c86339183586"></a><!-- doxytag: member="itpp::ls_solve_ud" ref="g126eb1902b5853564750c86339183586" args="(const cmat &A, const cvec &b)" -->
	1764	<div class="memitem">
	1765	<div class="memproto">
	1766	<table class="memname">
	1767	<tr>
	1768	<td class="memname"><a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> itpp::ls_solve_ud </td>
	1769	<td>(</td>
	1770	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1771	<td class="paramname"> <em>A</em>, </td>
	1772	</tr>
	1773	<tr>
	1774	<td class="paramkey"></td>
	1775	<td></td>
	1776	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> & </td>
	1777	<td class="paramname"> <em>b</em></td><td> </td>
	1778	</tr>
	1779	<tr>
	1780	<td></td>
	1781	<td>)</td>
	1782	<td></td><td></td><td></td>
	1783	</tr>
	1784	</table>
	1785	</div>
	1786	<div class="memdoc">
	1787
	1788	<p>
	1789	Solves overdetermined linear equation systems.
	1790	<p>
	1791	Solves the underdetermined linear system <img class="formulaInl" alt="$Ax=b$" src="form_137.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a <img class="formulaInl" alt="$m \times n$" src="form_140.png"> matrix and <img class="formulaInl" alt="$m \leq n$" src="form_142.png">. Uses LQ-factorization and assumes that <img class="formulaInl" alt="$A$" src="form_138.png"> is full rank. Based on the LAPACK routine ZGELS.
	1792	<p>References <a class="el" href="itassert_8h-source.html#l00107">it_assert_debug</a>, and <a class="el" href="ls__solve_8cpp-source.html#l00639">itpp::ls_solve_ud()</a>.</p>
	1793
	1794	</div>
	1795	</div><p>
	1796	<a class="anchor" name="g90a505b0fd80f7aa15d869a3176549ec"></a><!-- doxytag: member="itpp::ls_solve_ud" ref="g90a505b0fd80f7aa15d869a3176549ec" args="(const cmat &A, const cvec &b, cvec &x)" -->
	1797	<div class="memitem">
	1798	<div class="memproto">
	1799	<table class="memname">
	1800	<tr>
	1801	<td class="memname">bool itpp::ls_solve_ud </td>
	1802	<td>(</td>
	1803	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
	1804	<td class="paramname"> <em>A</em>, </td>
	1805	</tr>
	1806	<tr>
	1807	<td class="paramkey"></td>
	1808	<td></td>
	1809	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> & </td>
	1810	<td class="paramname"> <em>b</em>, </td>
	1811	</tr>
	1812	<tr>
	1813	<td class="paramkey"></td>
	1814	<td></td>
	1815	<td class="paramtype"><a class="el" href="classitpp_1_1Vec.html#e83c1408740e41a7e29c383b71d4d544">cvec</a> & </td>
	1816	<td class="paramname"> <em>x</em></td><td> </td>
	1817	</tr>
	1818	<tr>
	1819	<td></td>
	1820	<td>)</td>
	1821	<td></td><td></td><td></td>
	1822	</tr>
	1823	</table>
	1824	</div>
	1825	<div class="memdoc">
	1826
	1827	<p>
	1828	Solves underdetermined linear equation systems.
	1829	<p>
	1830	Solves the underdetermined linear system <img class="formulaInl" alt="$Ax=b$" src="form_137.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a <img class="formulaInl" alt="$m \times n$" src="form_140.png"> matrix and <img class="formulaInl" alt="$m \leq n$" src="form_142.png">. Uses LQ-factorization and is built upon the LAPACK routine ZGELS.
	1831	<p>References <a class="el" href="itassert_8h-source.html#l00126">it_error</a>.</p>
	1832
	1833	</div>
	1834	</div><p>
	1835	<a class="anchor" name="gd47cbd81c624acfc5715f6292dfd9cd4"></a><!-- doxytag: member="itpp::ls_solve_ud" ref="gd47cbd81c624acfc5715f6292dfd9cd4" args="(const mat &A, const mat &B)" -->
	1836	<div class="memitem">
	1837	<div class="memproto">
	1838	<table class="memname">
	1839	<tr>
	1840	<td class="memname"><a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> itpp::ls_solve_ud </td>
	1841	<td>(</td>
	1842	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1843	<td class="paramname"> <em>A</em>, </td>
	1844	</tr>
	1845	<tr>
	1846	<td class="paramkey"></td>
	1847	<td></td>
	1848	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1849	<td class="paramname"> <em>B</em></td><td> </td>
	1850	</tr>
	1851	<tr>
	1852	<td></td>
	1853	<td>)</td>
	1854	<td></td><td></td><td></td>
	1855	</tr>
	1856	</table>
	1857	</div>
	1858	<div class="memdoc">
	1859
	1860	<p>
	1861	Solves underdetermined linear equation systems.
	1862	<p>
	1863	Solves the underdetermined linear system <img class="formulaInl" alt="$AX=B$" src="form_139.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a <img class="formulaInl" alt="$m \times n$" src="form_140.png"> matrix and <img class="formulaInl" alt="$m \leq n$" src="form_142.png">. Uses LQ-factorization and assumes that <img class="formulaInl" alt="$A$" src="form_138.png"> is full rank. Based on the LAPACK routine DGELS.
	1864	<p>References <a class="el" href="itassert_8h-source.html#l00107">it_assert_debug</a>, and <a class="el" href="ls__solve_8cpp-source.html#l00639">itpp::ls_solve_ud()</a>.</p>
	1865
	1866	</div>
	1867	</div><p>
	1868	<a class="anchor" name="gf24d2c5baba027d772c2fbe4958a34ca"></a><!-- doxytag: member="itpp::ls_solve_ud" ref="gf24d2c5baba027d772c2fbe4958a34ca" args="(const mat &A, const mat &B, mat &X)" -->
	1869	<div class="memitem">
	1870	<div class="memproto">
	1871	<table class="memname">
	1872	<tr>
	1873	<td class="memname">bool itpp::ls_solve_ud </td>
	1874	<td>(</td>
	1875	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1876	<td class="paramname"> <em>A</em>, </td>
	1877	</tr>
	1878	<tr>
	1879	<td class="paramkey"></td>
	1880	<td></td>
	1881	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1882	<td class="paramname"> <em>B</em>, </td>
	1883	</tr>
	1884	<tr>
	1885	<td class="paramkey"></td>
	1886	<td></td>
	1887	<td class="paramtype"><a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1888	<td class="paramname"> <em>X</em></td><td> </td>
	1889	</tr>
	1890	<tr>
	1891	<td></td>
	1892	<td>)</td>
	1893	<td></td><td></td><td></td>
	1894	</tr>
	1895	</table>
	1896	</div>
	1897	<div class="memdoc">
	1898
	1899	<p>
	1900	Solves underdetermined linear equation systems.
	1901	<p>
	1902	Solves the underdetermined linear system <img class="formulaInl" alt="$AX=B$" src="form_139.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a <img class="formulaInl" alt="$m \times n$" src="form_140.png"> matrix and <img class="formulaInl" alt="$m \leq n$" src="form_142.png">. Uses LQ-factorization and assumes that <img class="formulaInl" alt="$A$" src="form_138.png"> is full rank. Based on the LAPACK routine DGELS.
	1903	<p>References <a class="el" href="itassert_8h-source.html#l00126">it_error</a>.</p>
	1904
	1905	</div>
	1906	</div><p>
	1907	<a class="anchor" name="g70cd3ada0cecc2d675638a51ea0eee0d"></a><!-- doxytag: member="itpp::ls_solve_ud" ref="g70cd3ada0cecc2d675638a51ea0eee0d" args="(const mat &A, const vec &b)" -->
	1908	<div class="memitem">
	1909	<div class="memproto">
	1910	<table class="memname">
	1911	<tr>
	1912	<td class="memname"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> itpp::ls_solve_ud </td>
	1913	<td>(</td>
	1914	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1915	<td class="paramname"> <em>A</em>, </td>
	1916	</tr>
	1917	<tr>
	1918	<td class="paramkey"></td>
	1919	<td></td>
	1920	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	1921	<td class="paramname"> <em>b</em></td><td> </td>
	1922	</tr>
	1923	<tr>
	1924	<td></td>
	1925	<td>)</td>
	1926	<td></td><td></td><td></td>
	1927	</tr>
	1928	</table>
	1929	</div>
	1930	<div class="memdoc">
	1931
	1932	<p>
	1933	Solves overdetermined linear equation systems.
	1934	<p>
	1935	Solves the underdetermined linear system <img class="formulaInl" alt="$Ax=b$" src="form_137.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a <img class="formulaInl" alt="$m \times n$" src="form_140.png"> matrix and <img class="formulaInl" alt="$m \leq n$" src="form_142.png">. Uses LQ-factorization and assumes that <img class="formulaInl" alt="$A$" src="form_138.png"> is full rank. Based on the LAPACK routine DGELS.
	1936	<p>References <a class="el" href="itassert_8h-source.html#l00107">it_assert_debug</a>, and <a class="el" href="ls__solve_8cpp-source.html#l00639">itpp::ls_solve_ud()</a>.</p>
	1937
	1938	</div>
	1939	</div><p>
	1940	<a class="anchor" name="gec926319b4d7faf913e1cf034af1899c"></a><!-- doxytag: member="itpp::ls_solve_ud" ref="gec926319b4d7faf913e1cf034af1899c" args="(const mat &A, const vec &b, vec &x)" -->
	1941	<div class="memitem">
	1942	<div class="memproto">
	1943	<table class="memname">
	1944	<tr>
	1945	<td class="memname">bool itpp::ls_solve_ud </td>
	1946	<td>(</td>
	1947	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
	1948	<td class="paramname"> <em>A</em>, </td>
	1949	</tr>
	1950	<tr>
	1951	<td class="paramkey"></td>
	1952	<td></td>
	1953	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	1954	<td class="paramname"> <em>b</em>, </td>
	1955	</tr>
	1956	<tr>
	1957	<td class="paramkey"></td>
	1958	<td></td>
	1959	<td class="paramtype"><a class="el" href="classitpp_1_1Vec.html#02e1bb55f60f3c2eb7a020eb1c2cfcf4">vec</a> & </td>
	1960	<td class="paramname"> <em>x</em></td><td> </td>
	1961	</tr>
	1962	<tr>
	1963	<td></td>
	1964	<td>)</td>
	1965	<td></td><td></td><td></td>
	1966	</tr>
	1967	</table>
	1968	</div>
	1969	<div class="memdoc">
	1970
	1971	<p>
	1972	Solves underdetermined linear equation systems.
	1973	<p>
	1974	Solves the underdetermined linear system <img class="formulaInl" alt="$Ax=b$" src="form_137.png">, where <img class="formulaInl" alt="$A$" src="form_138.png"> is a <img class="formulaInl" alt="$m \times n$" src="form_140.png"> matrix and <img class="formulaInl" alt="$m \leq n$" src="form_142.png">. Uses LQ-factorization and is built upon the LAPACK routine DGELS.
	1975	<p>References <a class="el" href="itassert_8h-source.html#l00126">it_error</a>.</p>
	1976
	1977	</div>
	1978	</div><p>
	1979	</div>
	1980	<hr size="1"><address style="text-align: right;"><small>Generated on Tue Jun 2 10:02:14 2009 for mixpp by
	1981	<a href="http://www.doxygen.org/index.html">
	1982	<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.8 </small></address>
	1983	</body>
	1984	</html>

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