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61	<h1>Functions on Matrices<br>
62	<small>
63	[<a class="el" href="group__base.html">Base Module</a>]</small>
64	</h1>Functions on vectors and matrices.
65	<a href="#_details">More...</a>
66	<p>
67	<table border="0" cellpadding="0" cellspacing="0">
68	<tr><td></td></tr>
69	<tr><td colspan="2"><br><h2>Functions</h2></td></tr>
70	<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g97bb6b35d6d4c683c7558842e4500c2d"></a><!-- doxytag: member="matrix_functions::length" ref="g97bb6b35d6d4c683c7558842e4500c2d" args="(const Vec< T > &v)" -->
71	template<class T > </td></tr>
72	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">int </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g97bb6b35d6d4c683c7558842e4500c2d">itpp::length</a> (const Vec< T > &v)</td></tr>
73
74	<tr><td class="mdescLeft"> </td><td class="mdescRight">Length of vector. <br></td></tr>
75	<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g3c1a2b0972c6a8e1215eb3f76d7c7512"></a><!-- doxytag: member="matrix_functions::size" ref="g3c1a2b0972c6a8e1215eb3f76d7c7512" args="(const Vec< T > &v)" -->
76	template<class T > </td></tr>
77	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">int </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g3c1a2b0972c6a8e1215eb3f76d7c7512">itpp::size</a> (const Vec< T > &v)</td></tr>
78
79	<tr><td class="mdescLeft"> </td><td class="mdescRight">Length of vector. <br></td></tr>
80	<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g8b3dcc61484fce58ee4244d5731e18fa"></a><!-- doxytag: member="matrix_functions::sum" ref="g8b3dcc61484fce58ee4244d5731e18fa" args="(const Vec< T > &v)" -->
81	template<class T > </td></tr>
82	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g8b3dcc61484fce58ee4244d5731e18fa">itpp::sum</a> (const Vec< T > &v)</td></tr>
83
84	<tr><td class="mdescLeft"> </td><td class="mdescRight">Sum of all elements in the vector. <br></td></tr>
85	<tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr>
86	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#gfcf8f54c2f4fc257bbc3111700b08355">itpp::sum</a> (const Mat< T > &m, int dim=1)</td></tr>
87
88	<tr><td class="mdescLeft"> </td><td class="mdescRight">Sum of elements in the matrix <code>m</code>, either along columns or rows. <a href="#gfcf8f54c2f4fc257bbc3111700b08355"></a><br></td></tr>
89	<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g81a7516f7fb453dcb623ad6d4c89a5b7"></a><!-- doxytag: member="matrix_functions::sumsum" ref="g81a7516f7fb453dcb623ad6d4c89a5b7" args="(const Mat< T > &X)" -->
90	template<class T > </td></tr>
91	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g81a7516f7fb453dcb623ad6d4c89a5b7">itpp::sumsum</a> (const Mat< T > &X)</td></tr>
92
93	<tr><td class="mdescLeft"> </td><td class="mdescRight">Sum of all elements in the given matrix. Fast version of sum(sum(X)). <br></td></tr>
94	<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="gc6a1b0e0af40f95bc636ce039c8f1a0f"></a><!-- doxytag: member="matrix_functions::sum_sqr" ref="gc6a1b0e0af40f95bc636ce039c8f1a0f" args="(const Vec< T > &v)" -->
95	template<class T > </td></tr>
96	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#gc6a1b0e0af40f95bc636ce039c8f1a0f">itpp::sum_sqr</a> (const Vec< T > &v)</td></tr>
97
98	<tr><td class="mdescLeft"> </td><td class="mdescRight">Sum of square of the elements in a vector. <br></td></tr>
99	<tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr>
100	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g4c81137a6b9b989a0c5a36972885c1e6">itpp::sum_sqr</a> (const Mat< T > &m, int dim=1)</td></tr>
101
102	<tr><td class="mdescLeft"> </td><td class="mdescRight">Sum of the square of elements in the matrix <code>m</code>. <a href="#g4c81137a6b9b989a0c5a36972885c1e6"></a><br></td></tr>
103	<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g1609c616b581628be87a4faca7778f54"></a><!-- doxytag: member="matrix_functions::cumsum" ref="g1609c616b581628be87a4faca7778f54" args="(const Vec< T > &v)" -->
104	template<class T > </td></tr>
105	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g1609c616b581628be87a4faca7778f54">itpp::cumsum</a> (const Vec< T > &v)</td></tr>
106
107	<tr><td class="mdescLeft"> </td><td class="mdescRight">Cumulative sum of all elements in the vector. <br></td></tr>
108	<tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr>
109	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Mat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g6b5efcaa7c61e429326f4e6e56f11655">itpp::cumsum</a> (const Mat< T > &m, int dim=1)</td></tr>
110
111	<tr><td class="mdescLeft"> </td><td class="mdescRight">Cumulative sum of elements in the matrix <code>m</code>. <a href="#g6b5efcaa7c61e429326f4e6e56f11655"></a><br></td></tr>
112	<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="gff8a3812cb84a18f3b52c4bb116feb08"></a><!-- doxytag: member="matrix_functions::prod" ref="gff8a3812cb84a18f3b52c4bb116feb08" args="(const Vec< T > &v)" -->
113	template<class T > </td></tr>
114	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#gff8a3812cb84a18f3b52c4bb116feb08">itpp::prod</a> (const Vec< T > &v)</td></tr>
115
116	<tr><td class="mdescLeft"> </td><td class="mdescRight">The product of all elements in the vector. <br></td></tr>
117	<tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr>
118	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g22fdeace9f20483008cf4dc6d471cbc2">itpp::prod</a> (const Mat< T > &m, int dim=1)</td></tr>
119
120	<tr><td class="mdescLeft"> </td><td class="mdescRight">Product of elements in the matrix <code>m</code>. <a href="#g22fdeace9f20483008cf4dc6d471cbc2"></a><br></td></tr>
121	<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="gc9576b3da83bec579bacbfd2cfd71b3e"></a><!-- doxytag: member="matrix_functions::cross" ref="gc9576b3da83bec579bacbfd2cfd71b3e" args="(const Vec< T > &v1, const Vec< T > &v2)" -->
122	template<class T > </td></tr>
123	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#gc9576b3da83bec579bacbfd2cfd71b3e">itpp::cross</a> (const Vec< T > &v1, const Vec< T > &v2)</td></tr>
124
125	<tr><td class="mdescLeft"> </td><td class="mdescRight">Vector cross product. Vectors need to be of size 3. <br></td></tr>
126	<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="gb42e2269c4fb80730ac82ef7c85f9cd0"></a><!-- doxytag: member="matrix_functions::zero_pad" ref="gb42e2269c4fb80730ac82ef7c85f9cd0" args="(const Vec< T > &v, int n)" -->
127	template<class T > </td></tr>
128	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#gb42e2269c4fb80730ac82ef7c85f9cd0">itpp::zero_pad</a> (const Vec< T > &v, int n)</td></tr>
129
130	<tr><td class="mdescLeft"> </td><td class="mdescRight">Zero-pad a vector to size n. <br></td></tr>
131	<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="ga92be4bb938ac8c78f6313432210599c"></a><!-- doxytag: member="matrix_functions::zero_pad" ref="ga92be4bb938ac8c78f6313432210599c" args="(const Vec< T > &v)" -->
132	template<class T > </td></tr>
133	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#ga92be4bb938ac8c78f6313432210599c">itpp::zero_pad</a> (const Vec< T > &v)</td></tr>
134
135	<tr><td class="mdescLeft"> </td><td class="mdescRight">Zero-pad a vector to the nearest greater power of two. <br></td></tr>
136	<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g70bc01fbb0018476a9ba6a74ed75d4ea"></a><!-- doxytag: member="matrix_functions::zero_pad" ref="g70bc01fbb0018476a9ba6a74ed75d4ea" args="(const Mat< T > &m, int rows, int cols)" -->
137	template<class T > </td></tr>
138	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Mat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g70bc01fbb0018476a9ba6a74ed75d4ea">itpp::zero_pad</a> (const Mat< T > &m, int rows, int cols)</td></tr>
139
140	<tr><td class="mdescLeft"> </td><td class="mdescRight">Zero-pad a matrix to size rows x cols. <br></td></tr>
141	<tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr>
142	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#gab6a4b173411de9290f0dc401c9dcec7">itpp::index_zero_pad</a> (const Vec< T > &v, const int index)</td></tr>
143
144	<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g22c587fbc615e295f2b881c2e5025006"></a><!-- doxytag: member="matrix_functions::transpose" ref="g22c587fbc615e295f2b881c2e5025006" args="(const Mat< T > &m, Mat< T > &out)" -->
145	template<class T > </td></tr>
146	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g22c587fbc615e295f2b881c2e5025006">itpp::transpose</a> (const Mat< T > &m, Mat< T > &out)</td></tr>
147
148	<tr><td class="mdescLeft"> </td><td class="mdescRight">Transposition of the matrix <code>m</code> returning the transposed matrix in <code>out</code>. <br></td></tr>
149	<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g8c724070b69eb97eae2985e02088feca"></a><!-- doxytag: member="matrix_functions::transpose" ref="g8c724070b69eb97eae2985e02088feca" args="(const Mat< T > &m)" -->
150	template<class T > </td></tr>
151	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Mat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g8c724070b69eb97eae2985e02088feca">itpp::transpose</a> (const Mat< T > &m)</td></tr>
152
153	<tr><td class="mdescLeft"> </td><td class="mdescRight">Transposition of the matrix <code>m</code>. <br></td></tr>
154	<tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr>
155	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#ge71aa93cc176699065fc0e740a50387e">itpp::hermitian_transpose</a> (const Mat< T > &m, Mat< T > &out)</td></tr>
156
157	<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g123e8bb976c29bd43d993fcd6e3f3579"></a><!-- doxytag: member="matrix_functions::hermitian_transpose" ref="g123e8bb976c29bd43d993fcd6e3f3579" args="(const Mat< T > &m)" -->
158	template<class T > </td></tr>
159	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Mat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g123e8bb976c29bd43d993fcd6e3f3579">itpp::hermitian_transpose</a> (const Mat< T > &m)</td></tr>
160
161	<tr><td class="mdescLeft"> </td><td class="mdescRight">Hermitian transpose (complex conjugate transpose) of the matrix <code>m</code>. <br></td></tr>
162	<tr><td class="memTemplParams" nowrap colspan="2">template<class Num_T > </td></tr>
163	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g49691bf233320a2dd8ae9929988f8f91">itpp::is_hermitian</a> (const Mat< Num_T > &X)</td></tr>
164
165	<tr><td class="mdescLeft"> </td><td class="mdescRight">Returns true if matrix <code>X</code> is hermitian, false otherwise. <a href="#g49691bf233320a2dd8ae9929988f8f91"></a><br></td></tr>
166	<tr><td class="memTemplParams" nowrap colspan="2">template<class Num_T > </td></tr>
167	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">bool </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g0e711a4a8db7d9a2ed5515a33dd65d4c">itpp::is_unitary</a> (const Mat< Num_T > &X)</td></tr>
168
169	<tr><td class="mdescLeft"> </td><td class="mdescRight">Returns true if matrix <code>X</code> is unitary, false otherwise. <a href="#g0e711a4a8db7d9a2ed5515a33dd65d4c"></a><br></td></tr>
170	<tr><td class="memTemplParams" nowrap colspan="2">template<class Num_T > </td></tr>
171	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Mat< Num_T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g3b60d55399d969b0194f80997d41ea86">itpp::kron</a> (const Mat< Num_T > &X, const Mat< Num_T > &Y)</td></tr>
172
173	<tr><td class="mdescLeft"> </td><td class="mdescRight">Computes the Kronecker product of two matrices. <a href="#g3b60d55399d969b0194f80997d41ea86"></a><br></td></tr>
174	<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__matrix__functions.html#g27d79e239d0905bf6b720a1bb117f1de">itpp::sqrtm</a> (const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> &A)</td></tr>
175
176	<tr><td class="mdescLeft"> </td><td class="mdescRight">Square root of the complex square matrix <code>A</code>. <a href="#g27d79e239d0905bf6b720a1bb117f1de"></a><br></td></tr>
177	<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__matrix__functions.html#gbb4749a685e730a2dc0ff55313d13a22">itpp::sqrtm</a> (const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> &A)</td></tr>
178
179	<tr><td class="mdescLeft"> </td><td class="mdescRight">Square root of the real square matrix <code>A</code>. <a href="#gbb4749a685e730a2dc0ff55313d13a22"></a><br></td></tr>
180	<tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr>
181	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">int </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g472a6d548c6d195bb349c812c8b2203c">itpp::rank</a> (const Mat< T > &m, double tol=-1.0)</td></tr>
182
183	<tr><td class="mdescLeft"> </td><td class="mdescRight">Calculate the rank of matrix <code>m</code>. <a href="#g472a6d548c6d195bb349c812c8b2203c"></a><br></td></tr>
184	<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g36e27d8fdd14e8d5b4a0653c101f1570"></a><!-- doxytag: member="matrix_functions::rank" ref="g36e27d8fdd14e8d5b4a0653c101f1570" args="(const imat &m, double tol)" -->
185	template<> </td></tr>
186	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">int </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g36e27d8fdd14e8d5b4a0653c101f1570">itpp::rank</a> (const <a class="el" href="classitpp_1_1Mat.html#9e0dd2f635e4bd0b28c09685d9c4f3bb">imat</a> &m, double tol)</td></tr>
187
188	<tr><td class="mdescLeft"> </td><td class="mdescRight">Specialisation of <a class="el" href="group__matrix__functions.html#g472a6d548c6d195bb349c812c8b2203c" title="Calculate the rank of matrix m.">rank()</a> function. <br></td></tr>
189	<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g82519e6233d0082856d4acbf84353160"></a><!-- doxytag: member="matrix_functions::rank" ref="g82519e6233d0082856d4acbf84353160" args="(const smat &m, double tol)" -->
190	template<> </td></tr>
191	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">int </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g82519e6233d0082856d4acbf84353160">itpp::rank</a> (const <a class="el" href="classitpp_1_1Mat.html#debd320317a18c022d3ca856af6d3687">smat</a> &m, double tol)</td></tr>
192
193	<tr><td class="mdescLeft"> </td><td class="mdescRight">Specialisation of <a class="el" href="group__matrix__functions.html#g472a6d548c6d195bb349c812c8b2203c" title="Calculate the rank of matrix m.">rank()</a> function. <br></td></tr>
194	<tr><td class="memTemplParams" nowrap colspan="2"><a class="anchor" name="g6adab7c28deb3fec407684458f0b719d"></a><!-- doxytag: member="matrix_functions::rank" ref="g6adab7c28deb3fec407684458f0b719d" args="(const bmat &, double)" -->
195	template<> </td></tr>
196	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">int </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g6adab7c28deb3fec407684458f0b719d">itpp::rank</a> (const <a class="el" href="mat_8h.html#f90acd1af41bf2d1d8a4bb23662fff69">bmat</a> &, double)</td></tr>
197
198	<tr><td class="mdescLeft"> </td><td class="mdescRight">Specialisation of <a class="el" href="group__matrix__functions.html#g472a6d548c6d195bb349c812c8b2203c" title="Calculate the rank of matrix m.">rank()</a> function. <br></td></tr>
199	<tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr>
200	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Vec< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g53cd7ee1e173c8a2e56d0b4c77e49c20">itpp::Vec::repmat</a> (const Vec< T > &v, int n)</td></tr>
201
202	<tr><td class="mdescLeft"> </td><td class="mdescRight">Creates a vector with <code>n</code> copies of the vector <code>v</code>. <a href="#g53cd7ee1e173c8a2e56d0b4c77e49c20"></a><br></td></tr>
203	<tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr>
204	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Mat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g608ecbac6ff6a1ce6d5e69c0dd789021">itpp::Mat::repmat</a> (const Mat< T > &data, int m, int n)</td></tr>
205
206	<tr><td class="mdescLeft"> </td><td class="mdescRight">Creates a matrix with <code>m</code> by <code>n</code> copies of the matrix <code>data</code>. <a href="#g608ecbac6ff6a1ce6d5e69c0dd789021"></a><br></td></tr>
207	<tr><td class="memTemplParams" nowrap colspan="2">template<class T > </td></tr>
208	<tr><td class="memTemplItemLeft" nowrap align="right" valign="top">Mat< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__matrix__functions.html#g8d9541af4bd11193689d3f30b1cd5a74">itpp::Mat::repmat</a> (const Vec< T > &v, int m, int n, bool transpose=false)</td></tr>
209
210	<tr><td class="mdescLeft"> </td><td class="mdescRight">Returns a matrix with <code>m</code> by <code>n</code> copies of the vector <code>data</code>. <a href="#g8d9541af4bd11193689d3f30b1cd5a74"></a><br></td></tr>
211	</table>
212	<hr><a name="_details"></a><h2>Detailed Description</h2>
213	Functions on vectors and matrices. <hr><h2>Function Documentation</h2>
214	<a class="anchor" name="g6b5efcaa7c61e429326f4e6e56f11655"></a><!-- doxytag: member="itpp::cumsum" ref="g6b5efcaa7c61e429326f4e6e56f11655" args="(const Mat< T > &m, int dim=1)" -->
215	<div class="memitem">
216	<div class="memproto">
217	<div class="memtemplate">
218	template<class T > </div>
219	<table class="memname">
220	<tr>
221	<td class="memname">Mat<T> itpp::cumsum </td>
222	<td>(</td>
223	<td class="paramtype">const Mat< T > & </td>
224	<td class="paramname"> <em>m</em>, </td>
225	</tr>
226	<tr>
227	<td class="paramkey"></td>
228	<td></td>
229	<td class="paramtype">int </td>
230	<td class="paramname"> <em>dim</em> = <code>1</code></td><td> </td>
231	</tr>
232	<tr>
233	<td></td>
234	<td>)</td>
235	<td></td><td></td><td><code> [inline]</code></td>
236	</tr>
237	</table>
238	</div>
239	<div class="memdoc">
240
241	<p>
242	Cumulative sum of elements in the matrix <code>m</code>.
243	<p>
244	<code>cumsum(m) = cumsum(m, 1)</code> returns a matrix where the elements are sums over each column, whereas <code>cumsum(m, 2)</code> returns a matrix where the elements are sums over each row
245	<p>References <a class="el" href="mat_8h-source.html#l00241">itpp::Mat< Num_T >::cols()</a>, <a class="el" href="mat_8h-source.html#l00903">itpp::Mat< Num_T >::get_col()</a>, <a class="el" href="mat_8h-source.html#l00866">itpp::Mat< Num_T >::get_row()</a>, <a class="el" href="itassert_8h-source.html#l00094">it_assert</a>, and <a class="el" href="mat_8h-source.html#l00243">itpp::Mat< Num_T >::rows()</a>.</p>
246
247	<p>Referenced by <a class="el" href="histogram_8h-source.html#l00210">itpp::Histogram< Num_T >::get_cdf()</a>, <a class="el" href="libEF_8cpp-source.html#l00216">bdm::eEmp::resample()</a>, <a class="el" href="emix_8cpp-source.html#l00072">bdm::egiwmix::sample()</a>, and <a class="el" href="emix_8cpp-source.html#l00024">bdm::emix::sample()</a>.</p>
248
249	</div>
250	</div><p>
251	<a class="anchor" name="ge71aa93cc176699065fc0e740a50387e"></a><!-- doxytag: member="itpp::hermitian_transpose" ref="ge71aa93cc176699065fc0e740a50387e" args="(const Mat< T > &m, Mat< T > &out)" -->
252	<div class="memitem">
253	<div class="memproto">
254	<div class="memtemplate">
255	template<class T > </div>
256	<table class="memname">
257	<tr>
258	<td class="memname">void itpp::hermitian_transpose </td>
259	<td>(</td>
260	<td class="paramtype">const Mat< T > & </td>
261	<td class="paramname"> <em>m</em>, </td>
262	</tr>
263	<tr>
264	<td class="paramkey"></td>
265	<td></td>
266	<td class="paramtype">Mat< T > & </td>
267	<td class="paramname"> <em>out</em></td><td> </td>
268	</tr>
269	<tr>
270	<td></td>
271	<td>)</td>
272	<td></td><td></td><td><code> [inline]</code></td>
273	</tr>
274	</table>
275	</div>
276	<div class="memdoc">
277
278	<p>
279	Hermitian transpose (complex conjugate transpose) of the matrix <code>m</code> returning the transposed matrix in <code>out</code>
280	<p>References <a class="el" href="mat_8h-source.html#l00347">itpp::Mat< Num_T >::H()</a>.</p>
281
282	</div>
283	</div><p>
284	<a class="anchor" name="gab6a4b173411de9290f0dc401c9dcec7"></a><!-- doxytag: member="itpp::index_zero_pad" ref="gab6a4b173411de9290f0dc401c9dcec7" args="(const Vec< T > &v, const int index)" -->
285	<div class="memitem">
286	<div class="memproto">
287	<div class="memtemplate">
288	template<class T > </div>
289	<table class="memname">
290	<tr>
291	<td class="memname">T itpp::index_zero_pad </td>
292	<td>(</td>
293	<td class="paramtype">const Vec< T > & </td>
294	<td class="paramname"> <em>v</em>, </td>
295	</tr>
296	<tr>
297	<td class="paramkey"></td>
298	<td></td>
299	<td class="paramtype">const int </td>
300	<td class="paramname"> <em>index</em></td><td> </td>
301	</tr>
302	<tr>
303	<td></td>
304	<td>)</td>
305	<td></td><td></td><td><code> [inline]</code></td>
306	</tr>
307	</table>
308	</div>
309	<div class="memdoc">
310
311	<p>
312	Return zero if indexing outside the vector <code>v</code> otherwise return the element <code>index</code>
313	<p>References <a class="el" href="vec_8h-source.html#l00277">itpp::Vec< Num_T >::size()</a>.</p>
314
315	<p>Referenced by <a class="el" href="sigfun_8cpp-source.html#l00091">itpp::xcorr_old()</a>.</p>
316
317	</div>
318	</div><p>
319	<a class="anchor" name="g49691bf233320a2dd8ae9929988f8f91"></a><!-- doxytag: member="itpp::is_hermitian" ref="g49691bf233320a2dd8ae9929988f8f91" args="(const Mat< Num_T > &X)" -->
320	<div class="memitem">
321	<div class="memproto">
322	<div class="memtemplate">
323	template<class Num_T > </div>
324	<table class="memname">
325	<tr>
326	<td class="memname">bool itpp::is_hermitian </td>
327	<td>(</td>
328	<td class="paramtype">const Mat< Num_T > & </td>
329	<td class="paramname"> <em>X</em> </td>
330	<td> ) </td>
331	<td><code> [inline]</code></td>
332	</tr>
333	</table>
334	</div>
335	<div class="memdoc">
336
337	<p>
338	Returns true if matrix <code>X</code> is hermitian, false otherwise.
339	<p>
340	<dl class="author" compact><dt><b>Author:</b></dt><dd>M. Szalay</dd></dl>
341	A square matrix <img class="formulaInl" alt="$\mathbf{X}$" src="form_125.png"> is hermitian if <p class="formulaDsp">
342	<img class="formulaDsp" alt="\[ \mathbf{X} = \mathbf{X}^H \]" src="form_177.png">
343	<p>
344
345	<p>References <a class="el" href="mat_8h-source.html#l00347">itpp::Mat< Num_T >::H()</a>.</p>
346
347	</div>
348	</div><p>
349	<a class="anchor" name="g0e711a4a8db7d9a2ed5515a33dd65d4c"></a><!-- doxytag: member="itpp::is_unitary" ref="g0e711a4a8db7d9a2ed5515a33dd65d4c" args="(const Mat< Num_T > &X)" -->
350	<div class="memitem">
351	<div class="memproto">
352	<div class="memtemplate">
353	template<class Num_T > </div>
354	<table class="memname">
355	<tr>
356	<td class="memname">bool itpp::is_unitary </td>
357	<td>(</td>
358	<td class="paramtype">const Mat< Num_T > & </td>
359	<td class="paramname"> <em>X</em> </td>
360	<td> ) </td>
361	<td><code> [inline]</code></td>
362	</tr>
363	</table>
364	</div>
365	<div class="memdoc">
366
367	<p>
368	Returns true if matrix <code>X</code> is unitary, false otherwise.
369	<p>
370	<dl class="author" compact><dt><b>Author:</b></dt><dd>M. Szalay</dd></dl>
371	A square matrix <img class="formulaInl" alt="$\mathbf{X}$" src="form_125.png"> is unitary if <p class="formulaDsp">
372	<img class="formulaDsp" alt="\[ \mathbf{X}^H = \mathbf{X}^{-1} \]" src="form_178.png">
373	<p>
374
375	<p>References <a class="el" href="mat_8h-source.html#l00347">itpp::Mat< Num_T >::H()</a>, and <a class="el" href="inv_8cpp-source.html#l00109">itpp::inv()</a>.</p>
376
377	</div>
378	</div><p>
379	<a class="anchor" name="g3b60d55399d969b0194f80997d41ea86"></a><!-- doxytag: member="itpp::kron" ref="g3b60d55399d969b0194f80997d41ea86" args="(const Mat< Num_T > &X, const Mat< Num_T > &Y)" -->
380	<div class="memitem">
381	<div class="memproto">
382	<div class="memtemplate">
383	template<class Num_T > </div>
384	<table class="memname">
385	<tr>
386	<td class="memname">Mat<Num_T> itpp::kron </td>
387	<td>(</td>
388	<td class="paramtype">const Mat< Num_T > & </td>
389	<td class="paramname"> <em>X</em>, </td>
390	</tr>
391	<tr>
392	<td class="paramkey"></td>
393	<td></td>
394	<td class="paramtype">const Mat< Num_T > & </td>
395	<td class="paramname"> <em>Y</em></td><td> </td>
396	</tr>
397	<tr>
398	<td></td>
399	<td>)</td>
400	<td></td><td></td><td><code> [inline]</code></td>
401	</tr>
402	</table>
403	</div>
404	<div class="memdoc">
405
406	<p>
407	Computes the Kronecker product of two matrices.
408	<p>
409	<code>K = kron(X, Y)</code> returns the Kronecker tensor product of <code>X</code> and <code>Y</code>. The result is a large array formed by taking all possible products between the elements of <code>X</code> and those of <code>Y</code>. If <code>X</code> is <code>(m x n)</code> and <code>Y</code> is <code>(p x q)</code>, then <code>kron(X, Y)</code> is <code>(mp x nq)</code>.<p>
410	<dl class="author" compact><dt><b>Author:</b></dt><dd>Adam Piatyszek </dd></dl>
411
412	<p>References <a class="el" href="mat_8h-source.html#l00241">itpp::Mat< Num_T >::cols()</a>, and <a class="el" href="mat_8h-source.html#l00243">itpp::Mat< Num_T >::rows()</a>.</p>
413
414	</div>
415	</div><p>
416	<a class="anchor" name="g22fdeace9f20483008cf4dc6d471cbc2"></a><!-- doxytag: member="itpp::prod" ref="g22fdeace9f20483008cf4dc6d471cbc2" args="(const Mat< T > &m, int dim=1)" -->
417	<div class="memitem">
418	<div class="memproto">
419	<div class="memtemplate">
420	template<class T > </div>
421	<table class="memname">
422	<tr>
423	<td class="memname">Vec<T> itpp::prod </td>
424	<td>(</td>
425	<td class="paramtype">const Mat< T > & </td>
426	<td class="paramname"> <em>m</em>, </td>
427	</tr>
428	<tr>
429	<td class="paramkey"></td>
430	<td></td>
431	<td class="paramtype">int </td>
432	<td class="paramname"> <em>dim</em> = <code>1</code></td><td> </td>
433	</tr>
434	<tr>
435	<td></td>
436	<td>)</td>
437	<td></td><td></td><td><code> [inline]</code></td>
438	</tr>
439	</table>
440	</div>
441	<div class="memdoc">
442
443	<p>
444	Product of elements in the matrix <code>m</code>.
445	<p>
446	<code>prod(m) = prod(m, 1)</code> returns a vector where the elements are products over each column, whereas <code>prod(m, 2)</code> returns a vector where the elements are products over each row
447	<p>References <a class="el" href="mat_8h-source.html#l00241">itpp::Mat< Num_T >::cols()</a>, <a class="el" href="mat_8h-source.html#l00903">itpp::Mat< Num_T >::get_col()</a>, <a class="el" href="mat_8h-source.html#l00866">itpp::Mat< Num_T >::get_row()</a>, <a class="el" href="itassert_8h-source.html#l00094">it_assert</a>, and <a class="el" href="mat_8h-source.html#l00243">itpp::Mat< Num_T >::rows()</a>.</p>
448
449	<p>Referenced by <a class="el" href="elem__math_8cpp-source.html#l00078">itpp::fact()</a>, and <a class="el" href="misc__stat_8h-source.html#l00138">itpp::geometric_mean()</a>.</p>
450
451	</div>
452	</div><p>
453	<a class="anchor" name="g472a6d548c6d195bb349c812c8b2203c"></a><!-- doxytag: member="itpp::rank" ref="g472a6d548c6d195bb349c812c8b2203c" args="(const Mat< T > &m, double tol=-1.0)" -->
454	<div class="memitem">
455	<div class="memproto">
456	<div class="memtemplate">
457	template<class T > </div>
458	<table class="memname">
459	<tr>
460	<td class="memname">int itpp::rank </td>
461	<td>(</td>
462	<td class="paramtype">const Mat< T > & </td>
463	<td class="paramname"> <em>m</em>, </td>
464	</tr>
465	<tr>
466	<td class="paramkey"></td>
467	<td></td>
468	<td class="paramtype">double </td>
469	<td class="paramname"> <em>tol</em> = <code>-1.0</code></td><td> </td>
470	</tr>
471	<tr>
472	<td></td>
473	<td>)</td>
474	<td></td><td></td><td><code> [inline]</code></td>
475	</tr>
476	</table>
477	</div>
478	<div class="memdoc">
479
480	<p>
481	Calculate the rank of matrix <code>m</code>.
482	<p>
483	<dl class="author" compact><dt><b>Author:</b></dt><dd>Martin Senst</dd></dl>
484	<dl compact><dt><b>Parameters:</b></dt><dd>
485	<table border="0" cellspacing="2" cellpadding="0">
486	<tr><td valign="top"></td><td valign="top"><em>m</em> </td><td>Input matrix </td></tr>
487	<tr><td valign="top"></td><td valign="top"><em>tol</em> </td><td>Tolerance used for comparing the singular values with zero. If negative, it is automatically determined. </td></tr>
488	</table>
489	</dl>
490
491	<p>References <a class="el" href="mat_8h-source.html#l00241">itpp::Mat< Num_T >::cols()</a>, <a class="el" href="mat_8h-source.html#l00243">itpp::Mat< Num_T >::rows()</a>, and <a class="el" href="svd_8cpp-source.html#l00218">itpp::svd()</a>.</p>
492
493	</div>
494	</div><p>
495	<a class="anchor" name="g8d9541af4bd11193689d3f30b1cd5a74"></a><!-- doxytag: member="itpp::Mat::repmat" ref="g8d9541af4bd11193689d3f30b1cd5a74" args="(const Vec< T > &v, int m, int n, bool transpose=false)" -->
496	<div class="memitem">
497	<div class="memproto">
498	<div class="memtemplate">
499	template<class T > </div>
500	<table class="memname">
501	<tr>
502	<td class="memname">Mat< T > repmat </td>
503	<td>(</td>
504	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html">Vec</a>< T > & </td>
505	<td class="paramname"> <em>v</em>, </td>
506	</tr>
507	<tr>
508	<td class="paramkey"></td>
509	<td></td>
510	<td class="paramtype">int </td>
511	<td class="paramname"> <em>m</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>n</em>, </td>
518	</tr>
519	<tr>
520	<td class="paramkey"></td>
521	<td></td>
522	<td class="paramtype">bool </td>
523	<td class="paramname"> <em>transpose</em> = <code>false</code></td><td> </td>
524	</tr>
525	<tr>
526	<td></td>
527	<td>)</td>
528	<td></td><td></td><td><code> [related, inherited]</code></td>
529	</tr>
530	</table>
531	</div>
532	<div class="memdoc">
533
534	<p>
535	Returns a matrix with <code>m</code> by <code>n</code> copies of the vector <code>data</code>.
536	<p>
537	<dl class="author" compact><dt><b>Author:</b></dt><dd>Adam Piatyszek</dd></dl>
538	<dl compact><dt><b>Parameters:</b></dt><dd>
539	<table border="0" cellspacing="2" cellpadding="0">
540	<tr><td valign="top"></td><td valign="top"><em>v</em> </td><td>Vector to be repeated </td></tr>
541	<tr><td valign="top"></td><td valign="top"><em>m</em> </td><td>Number of times to repeat data vertically </td></tr>
542	<tr><td valign="top"></td><td valign="top"><em>n</em> </td><td>Number of times to repeat data horizontally </td></tr>
543	<tr><td valign="top"></td><td valign="top"><em>transpose</em> </td><td>Specifies the input vector orientation (column vector by default) </td></tr>
544	</table>
545	</dl>
546
547	<p>References <a class="el" href="vec_8h-source.html#l00324">itpp::Vec< Num_T >::T()</a>, and <a class="el" href="matfunc_8h-source.html#l00308">itpp::transpose()</a>.</p>
548
549	</div>
550	</div><p>
551	<a class="anchor" name="g608ecbac6ff6a1ce6d5e69c0dd789021"></a><!-- doxytag: member="itpp::Mat::repmat" ref="g608ecbac6ff6a1ce6d5e69c0dd789021" args="(const Mat< T > &data, int m, int n)" -->
552	<div class="memitem">
553	<div class="memproto">
554	<div class="memtemplate">
555	template<class T > </div>
556	<table class="memname">
557	<tr>
558	<td class="memname">Mat< T > repmat </td>
559	<td>(</td>
560	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html">Mat</a>< T > & </td>
561	<td class="paramname"> <em>data</em>, </td>
562	</tr>
563	<tr>
564	<td class="paramkey"></td>
565	<td></td>
566	<td class="paramtype">int </td>
567	<td class="paramname"> <em>m</em>, </td>
568	</tr>
569	<tr>
570	<td class="paramkey"></td>
571	<td></td>
572	<td class="paramtype">int </td>
573	<td class="paramname"> <em>n</em></td><td> </td>
574	</tr>
575	<tr>
576	<td></td>
577	<td>)</td>
578	<td></td><td></td><td><code> [related, inherited]</code></td>
579	</tr>
580	</table>
581	</div>
582	<div class="memdoc">
583
584	<p>
585	Creates a matrix with <code>m</code> by <code>n</code> copies of the matrix <code>data</code>.
586	<p>
587	<dl class="author" compact><dt><b>Author:</b></dt><dd>Mark Dobossy</dd></dl>
588	<dl compact><dt><b>Parameters:</b></dt><dd>
589	<table border="0" cellspacing="2" cellpadding="0">
590	<tr><td valign="top"></td><td valign="top"><em>data</em> </td><td>Matrix to be repeated </td></tr>
591	<tr><td valign="top"></td><td valign="top"><em>m</em> </td><td>Number of times to repeat data vertically </td></tr>
592	<tr><td valign="top"></td><td valign="top"><em>n</em> </td><td>Number of times to repeat data horizontally </td></tr>
593	</table>
594	</dl>
595
596	<p>References <a class="el" href="mat_8h-source.html#l00241">itpp::Mat< Num_T >::cols()</a>, <a class="el" href="itassert_8h-source.html#l00094">it_assert</a>, <a class="el" href="mat_8h-source.html#l00243">itpp::Mat< Num_T >::rows()</a>, and <a class="el" href="mat_8h-source.html#l01033">itpp::Mat< Num_T >::set_submatrix()</a>.</p>
597
598	</div>
599	</div><p>
600	<a class="anchor" name="g53cd7ee1e173c8a2e56d0b4c77e49c20"></a><!-- doxytag: member="itpp::Vec::repmat" ref="g53cd7ee1e173c8a2e56d0b4c77e49c20" args="(const Vec< T > &v, int n)" -->
601	<div class="memitem">
602	<div class="memproto">
603	<div class="memtemplate">
604	template<class T > </div>
605	<table class="memname">
606	<tr>
607	<td class="memname">Vec< T > repmat </td>
608	<td>(</td>
609	<td class="paramtype">const <a class="el" href="classitpp_1_1Vec.html">Vec</a>< T > & </td>
610	<td class="paramname"> <em>v</em>, </td>
611	</tr>
612	<tr>
613	<td class="paramkey"></td>
614	<td></td>
615	<td class="paramtype">int </td>
616	<td class="paramname"> <em>n</em></td><td> </td>
617	</tr>
618	<tr>
619	<td></td>
620	<td>)</td>
621	<td></td><td></td><td><code> [related, inherited]</code></td>
622	</tr>
623	</table>
624	</div>
625	<div class="memdoc">
626
627	<p>
628	Creates a vector with <code>n</code> copies of the vector <code>v</code>.
629	<p>
630	<dl class="author" compact><dt><b>Author:</b></dt><dd>Martin Senst</dd></dl>
631	<dl compact><dt><b>Parameters:</b></dt><dd>
632	<table border="0" cellspacing="2" cellpadding="0">
633	<tr><td valign="top"></td><td valign="top"><em>v</em> </td><td>Vector to be repeated </td></tr>
634	<tr><td valign="top"></td><td valign="top"><em>n</em> </td><td>Number of times to repeat <code>v</code> </td></tr>
635	</table>
636	</dl>
637
638	<p>References <a class="el" href="itassert_8h-source.html#l00094">it_assert</a>, <a class="el" href="vec_8h-source.html#l00275">itpp::Vec< Num_T >::length()</a>, and <a class="el" href="vec_8h-source.html#l01495">itpp::Vec< Num_T >::set_subvector()</a>.</p>
639
640	</div>
641	</div><p>
642	<a class="anchor" name="gbb4749a685e730a2dc0ff55313d13a22"></a><!-- doxytag: member="itpp::sqrtm" ref="gbb4749a685e730a2dc0ff55313d13a22" args="(const mat &A)" -->
643	<div class="memitem">
644	<div class="memproto">
645	<table class="memname">
646	<tr>
647	<td class="memname"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> itpp::sqrtm </td>
648	<td>(</td>
649	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6bba394f181c76fda12759568986c613">mat</a> & </td>
650	<td class="paramname"> <em>A</em> </td>
651	<td> ) </td>
652	<td></td>
653	</tr>
654	</table>
655	</div>
656	<div class="memdoc">
657
658	<p>
659	Square root of the real square matrix <code>A</code>.
660	<p>
661	This function computes the matrix square root of the real square matrix <code>A</code>. Please note that the returned matrix is complex. The implementation is based on the Matlab/Octave <code><a class="el" href="group__matrix__functions.html#g27d79e239d0905bf6b720a1bb117f1de" title="Square root of the complex square matrix A.">sqrtm()</a></code> function.<p>
662	Ref: N. J. Higham, "Numerical Analysis Report No. 336", Manchester Centre for Computational Mathematics, Manchester, England, January 1999<p>
663	<dl class="author" compact><dt><b>Author:</b></dt><dd>Adam Piatyszek </dd></dl>
664
665	</div>
666	</div><p>
667	<a class="anchor" name="g27d79e239d0905bf6b720a1bb117f1de"></a><!-- doxytag: member="itpp::sqrtm" ref="g27d79e239d0905bf6b720a1bb117f1de" args="(const cmat &A)" -->
668	<div class="memitem">
669	<div class="memproto">
670	<table class="memname">
671	<tr>
672	<td class="memname"><a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> itpp::sqrtm </td>
673	<td>(</td>
674	<td class="paramtype">const <a class="el" href="classitpp_1_1Mat.html#6fbac4b7184807da188e5b85d42f038b">cmat</a> & </td>
675	<td class="paramname"> <em>A</em> </td>
676	<td> ) </td>
677	<td></td>
678	</tr>
679	</table>
680	</div>
681	<div class="memdoc">
682
683	<p>
684	Square root of the complex square matrix <code>A</code>.
685	<p>
686	This function computes the matrix square root of the complex square matrix <code>A</code>. The implementation is based on the Matlab/Octave <code><a class="el" href="group__matrix__functions.html#g27d79e239d0905bf6b720a1bb117f1de" title="Square root of the complex square matrix A.">sqrtm()</a></code> function.<p>
687	Ref: N. J. Higham, "Numerical Analysis Report No. 336", Manchester Centre for Computational Mathematics, Manchester, England, January 1999<p>
688	<dl class="author" compact><dt><b>Author:</b></dt><dd>Adam Piatyszek </dd></dl>
689
690	</div>
691	</div><p>
692	<a class="anchor" name="gfcf8f54c2f4fc257bbc3111700b08355"></a><!-- doxytag: member="itpp::sum" ref="gfcf8f54c2f4fc257bbc3111700b08355" args="(const Mat< T > &m, int dim=1)" -->
693	<div class="memitem">
694	<div class="memproto">
695	<div class="memtemplate">
696	template<class T > </div>
697	<table class="memname">
698	<tr>
699	<td class="memname">Vec<T> itpp::sum </td>
700	<td>(</td>
701	<td class="paramtype">const Mat< T > & </td>
702	<td class="paramname"> <em>m</em>, </td>
703	</tr>
704	<tr>
705	<td class="paramkey"></td>
706	<td></td>
707	<td class="paramtype">int </td>
708	<td class="paramname"> <em>dim</em> = <code>1</code></td><td> </td>
709	</tr>
710	<tr>
711	<td></td>
712	<td>)</td>
713	<td></td><td></td><td><code> [inline]</code></td>
714	</tr>
715	</table>
716	</div>
717	<div class="memdoc">
718
719	<p>
720	Sum of elements in the matrix <code>m</code>, either along columns or rows.
721	<p>
722	<code>sum(m) = sum(m, 1)</code> returns a vector where the elements are sum over each column, whereas <code>sum(m, 2)</code> returns a vector where the elements are sum over each row.
723	<p>References <a class="el" href="mat_8h-source.html#l00241">itpp::Mat< Num_T >::cols()</a>, <a class="el" href="mat_8h-source.html#l00903">itpp::Mat< Num_T >::get_col()</a>, <a class="el" href="mat_8h-source.html#l00866">itpp::Mat< Num_T >::get_row()</a>, <a class="el" href="itassert_8h-source.html#l00094">it_assert</a>, <a class="el" href="mat_8h-source.html#l00243">itpp::Mat< Num_T >::rows()</a>, and <a class="el" href="vec_8h-source.html#l00676">itpp::Vec< Num_T >::set_size()</a>.</p>
724
725	<p>Referenced by <a class="el" href="emix_8cpp-source.html#l00114">bdm::egiwmix::approx()</a>, <a class="el" href="libPF_8cpp-source.html#l00007">bdm::PF::bayes()</a>, <a class="el" href="libKF_8h-source.html#l00415">bdm::MultiModel::bayes()</a>, <a class="el" href="channel_8cpp-source.html#l00829">itpp::Channel_Specification::calc_mean_excess_delay()</a>, <a class="el" href="channel_8cpp-source.html#l00835">itpp::Channel_Specification::calc_rms_delay_spread()</a>, <a class="el" href="ldpc_8cpp-source.html#l00598">itpp::LDPC_Parity_Unstructured::compute_CR()</a>, <a class="el" href="modulator__nd_8cpp-source.html#l00370">itpp::Modulator_NCD::demodulate_soft_bits()</a>, <a class="el" href="modulator__nd_8cpp-source.html#l00150">itpp::Modulator_NRD::demodulate_soft_bits()</a>, <a class="el" href="ldpc_8cpp-source.html#l00109">itpp::LDPC_Parity::display_stats()</a>, <a class="el" href="error__counters_8cpp-source.html#l00076">itpp::BERC::estimate_delay()</a>, <a class="el" href="emix_8h-source.html#l00120">bdm::emix::evallog()</a>, <a class="el" href="filter_8cpp-source.html#l00243">itpp::fir1()</a>, <a class="el" href="libEF_8h-source.html#l00317">bdm::multiBM::flatten()</a>, <a class="el" href="ldpc_8cpp-source.html#l00667">itpp::LDPC_Parity_Regular::generate()</a>, <a class="el" href="channel_8cpp-source.html#l00290">itpp::Rice_Fading_Generator::generate()</a>, <a class="el" href="ldpc_8cpp-source.html#l00462">itpp::LDPC_Parity_Unstructured::generate_random_H()</a>, <a class="el" href="specmat_8cpp-source.html#l00261">itpp::house()</a>, <a class="el" href="libDC_8cpp-source.html#l00200">ldmat::ldform()</a>, <a class="el" href="mog__generic_8cpp-source.html#l00596">itpp::MOG_generic::lhood_internal()</a>, <a class="el" href="mog__diag_8cpp-source.html#l00133">itpp::MOG_diag::lhood_internal()</a>, <a class="el" href="mog__generic_8cpp-source.html#l00561">itpp::MOG_generic::log_lhood_internal()</a>, <a class="el" href="mog__diag_8cpp-source.html#l00080">itpp::MOG_diag::log_lhood_internal()</a>, <a class="el" href="libEF_8h-source.html#l00262">bdm::eDirich::lognc()</a>, <a class="el" href="libEF_8cpp-source.html#l00044">bdm::egiw::lognc()</a>, <a class="el" href="merger_8cpp-source.html#l00007">bdm::merger::lognorm_merge()</a>, <a class="el" href="misc__stat_8cpp-source.html#l00036">itpp::mean()</a>, <a class="el" href="libEF_8h-source.html#l00254">bdm::eDirich::mean()</a>, <a class="el" href="merger_8cpp-source.html#l00033">bdm::merger::merge()</a>, <a class="el" href="mog__diag__em_8cpp-source.html#l00084">itpp::MOG_diag_EM_sup::ml_update_params()</a>, <a class="el" href="modulator__nd_8cpp-source.html#l00347">itpp::Modulator_NCD::modulate_bits()</a>, <a class="el" href="modulator__nd_8cpp-source.html#l00127">itpp::Modulator_NRD::modulate_bits()</a>, <a class="el" href="misc__stat_8cpp-source.html#l00105">itpp::norm()</a>, <a class="el" href="libDC_8cpp-source.html#l00156">ldmat::qform()</a>, <a class="el" href="integration_8cpp-source.html#l00071">itpp::quad()</a>, <a class="el" href="emix_8cpp-source.html#l00053">bdm::egiwmix::set_parameters()</a>, <a class="el" href="emix_8cpp-source.html#l00005">bdm::emix::set_parameters()</a>, <a class="el" href="libEF_8cpp-source.html#l00313">bdm::eEmp::set_samples()</a>, <a class="el" href="libEF_8cpp-source.html#l00301">bdm::eEmp::set_statistics()</a>, <a class="el" href="mog__generic_8cpp-source.html#l00314">itpp::MOG_generic::setup_weights()</a>, <a class="el" href="modulator__nd_8cpp-source.html#l00709">itpp::ND_UPAM::sphere_decoding()</a>, <a class="el" href="svec_8h-source.html#l00823">itpp::Sparse_Vec< T >::sqr()</a>, <a class="el" href="libDC_8cpp-source.html#l00080">ldmat::to_mat()</a>, <a class="el" href="matfunc_8h-source.html#l00762">itpp::trace()</a>, <a class="el" href="misc__stat_8cpp-source.html#l00159">itpp::variance()</a>, <a class="el" href="libEF_8h-source.html#l00255">bdm::eDirich::variance()</a>, and <a class="el" href="sigfun_8cpp-source.html#l00157">itpp::xcorr()</a>.</p>
726
727	</div>
728	</div><p>
729	<a class="anchor" name="g4c81137a6b9b989a0c5a36972885c1e6"></a><!-- doxytag: member="itpp::sum_sqr" ref="g4c81137a6b9b989a0c5a36972885c1e6" args="(const Mat< T > &m, int dim=1)" -->
730	<div class="memitem">
731	<div class="memproto">
732	<div class="memtemplate">
733	template<class T > </div>
734	<table class="memname">
735	<tr>
736	<td class="memname">Vec<T> itpp::sum_sqr </td>
737	<td>(</td>
738	<td class="paramtype">const Mat< T > & </td>
739	<td class="paramname"> <em>m</em>, </td>
740	</tr>
741	<tr>
742	<td class="paramkey"></td>
743	<td></td>
744	<td class="paramtype">int </td>
745	<td class="paramname"> <em>dim</em> = <code>1</code></td><td> </td>
746	</tr>
747	<tr>
748	<td></td>
749	<td>)</td>
750	<td></td><td></td><td><code> [inline]</code></td>
751	</tr>
752	</table>
753	</div>
754	<div class="memdoc">
755
756	<p>
757	Sum of the square of elements in the matrix <code>m</code>.
758	<p>
759	<code>sum(m) = sum(m, 1)</code> returns a vector where the elements are sum squared over each column, whereas <code>sum(m, 2)</code> returns a vector where the elements are sum squared over each row
760	<p>References <a class="el" href="mat_8h-source.html#l00241">itpp::Mat< Num_T >::cols()</a>, <a class="el" href="mat_8h-source.html#l00903">itpp::Mat< Num_T >::get_col()</a>, <a class="el" href="mat_8h-source.html#l00866">itpp::Mat< Num_T >::get_row()</a>, <a class="el" href="itassert_8h-source.html#l00094">it_assert</a>, <a class="el" href="mat_8h-source.html#l00243">itpp::Mat< Num_T >::rows()</a>, and <a class="el" href="vec_8h-source.html#l00676">itpp::Vec< Num_T >::set_size()</a>.</p>
761
762	<p>Referenced by <a class="el" href="channel_8cpp-source.html#l01156">itpp::TDL_Channel::calc_mean_excess_delay()</a>, <a class="el" href="channel_8cpp-source.html#l01161">itpp::TDL_Channel::calc_rms_delay_spread()</a>, and <a class="el" href="merger_8cpp-source.html#l00033">bdm::merger::merge()</a>.</p>
763
764	</div>
765	</div><p>
766	</div>
767	<hr size="1"><address style="text-align: right;"><small>Generated on Tue Jun 2 10:02:14 2009 for mixpp by
768	<a href="http://www.doxygen.org/index.html">
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