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| 66 |   <div class="navpath"><b>bdm</b>::<a class="el" href="classbdm_1_1fsqmat.html">fsqmat</a> | 
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| 69 | <div class="contents"> | 
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| 70 | <h1>bdm::fsqmat Class Reference</h1><!-- doxytag: class="bdm::fsqmat" --><!-- doxytag: inherits="bdm::sqmat" -->Fake <a class="el" href="classbdm_1_1sqmat.html" title="Abstract class for representation of double symmetric matrices in square-root form...">sqmat</a>. This class maps <a class="el" href="classbdm_1_1sqmat.html" title="Abstract class for representation of double symmetric matrices in square-root form...">sqmat</a> operations to operations on full matrix.   | 
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| 71 | <a href="#_details">More...</a> | 
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| 72 | <p> | 
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| 73 | <code>#include <<a class="el" href="square__mat_8h-source.html">square_mat.h</a>></code> | 
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| 74 | <p> | 
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| 75 |  | 
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| 76 | <p> | 
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| 77 | <a href="classbdm_1_1fsqmat-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0"> | 
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| 78 | <tr><td></td></tr> | 
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| 79 | <tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> | 
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| 80 | <tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#a41b3686a77d1f9657b6942b01cfd8be">opupdt</a> (const vec &v, double w)</td></tr> | 
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| 81 |  | 
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| 82 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5c27d47cd0fa7ae686d4519f89a3c9b0"></a><!-- doxytag: member="bdm::fsqmat::to_mat" ref="5c27d47cd0fa7ae686d4519f89a3c9b0" args="() const " --> | 
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| 83 | mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#5c27d47cd0fa7ae686d4519f89a3c9b0">to_mat</a> () const </td></tr> | 
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| 84 |  | 
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| 85 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Conversion to full matrix. <br></td></tr> | 
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| 86 | <tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#fca713af3f74677fd7fbafe723590112">mult_sym</a> (const mat &C)</td></tr> | 
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| 87 |  | 
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| 88 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Inplace symmetric multiplication by a SQUARE matrix <img class="formulaInl" alt="$C$" src="form_52.png">, i.e. <img class="formulaInl" alt="$V = C*V*C'$" src="form_53.png">.  <a href="#fca713af3f74677fd7fbafe723590112"></a><br></td></tr> | 
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| 89 | <tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#0f6b7cf09daf484f29ea99a144a27039">mult_sym_t</a> (const mat &C)</td></tr> | 
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| 90 |  | 
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| 91 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Inplace symmetric multiplication by a SQUARE transpose of matrix <img class="formulaInl" alt="$C$" src="form_52.png">, i.e. <img class="formulaInl" alt="$V = C'*V*C$" src="form_54.png">.  <a href="#0f6b7cf09daf484f29ea99a144a27039"></a><br></td></tr> | 
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| 92 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="75ff12a4d7d7ef50a812529e6e994cd1"></a><!-- doxytag: member="bdm::fsqmat::mult_sym" ref="75ff12a4d7d7ef50a812529e6e994cd1" args="(const mat &C, fsqmat &U) const " --> | 
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| 93 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#75ff12a4d7d7ef50a812529e6e994cd1">mult_sym</a> (const mat &C, <a class="el" href="classbdm_1_1fsqmat.html">fsqmat</a> &U) const </td></tr> | 
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| 94 |  | 
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| 95 | <tr><td class="mdescLeft"> </td><td class="mdescRight">store result of <code>mult_sym</code> in external matrix <img class="formulaInl" alt="$U$" src="form_58.png"> <br></td></tr> | 
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| 96 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="06d0f00ce05ad0349bef754ba94ee6c9"></a><!-- doxytag: member="bdm::fsqmat::mult_sym_t" ref="06d0f00ce05ad0349bef754ba94ee6c9" args="(const mat &C, fsqmat &U) const " --> | 
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| 97 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#06d0f00ce05ad0349bef754ba94ee6c9">mult_sym_t</a> (const mat &C, <a class="el" href="classbdm_1_1fsqmat.html">fsqmat</a> &U) const </td></tr> | 
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| 98 |  | 
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| 99 | <tr><td class="mdescLeft"> </td><td class="mdescRight">store result of <code>mult_sym_t</code> in external matrix <img class="formulaInl" alt="$U$" src="form_58.png"> <br></td></tr> | 
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| 100 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="8ba3bc2f92b3fc6cfc90f21b3a5a5ada"></a><!-- doxytag: member="bdm::fsqmat::clear" ref="8ba3bc2f92b3fc6cfc90f21b3a5a5ada" args="()" --> | 
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| 101 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#8ba3bc2f92b3fc6cfc90f21b3a5a5ada">clear</a> ()</td></tr> | 
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| 102 |  | 
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| 103 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Clearing matrix so that it corresponds to zeros. <br></td></tr> | 
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| 104 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d9461412d5087d685a3213671446f143"></a><!-- doxytag: member="bdm::fsqmat::fsqmat" ref="d9461412d5087d685a3213671446f143" args="()" --> | 
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| 105 |  </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#d9461412d5087d685a3213671446f143">fsqmat</a> ()</td></tr> | 
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| 106 |  | 
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| 107 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Default initialization. <br></td></tr> | 
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| 108 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5c1e23070177ec386ec80ae3ba3f29f5"></a><!-- doxytag: member="bdm::fsqmat::fsqmat" ref="5c1e23070177ec386ec80ae3ba3f29f5" args="(const int dim0)" --> | 
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| 109 |  </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#5c1e23070177ec386ec80ae3ba3f29f5">fsqmat</a> (const int dim0)</td></tr> | 
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| 110 |  | 
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| 111 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Default initialization with proper size. <br></td></tr> | 
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| 112 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b74cf8cabe8ac3b2b232c3de6ad070b0"></a><!-- doxytag: member="bdm::fsqmat::fsqmat" ref="b74cf8cabe8ac3b2b232c3de6ad070b0" args="(const mat &M)" --> | 
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| 113 |  </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#b74cf8cabe8ac3b2b232c3de6ad070b0">fsqmat</a> (const mat &<a class="el" href="classbdm_1_1fsqmat.html#ae9e9d807cd320ec265df81022eb9f03">M</a>)</td></tr> | 
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| 114 |  | 
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| 115 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Constructor. <br></td></tr> | 
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| 116 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="8168a96449b2126dfc117c136fdf39d5"></a><!-- doxytag: member="bdm::fsqmat::fsqmat" ref="8168a96449b2126dfc117c136fdf39d5" args="(const fsqmat &M, const ivec &perm)" --> | 
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| 117 |  </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#8168a96449b2126dfc117c136fdf39d5">fsqmat</a> (const <a class="el" href="classbdm_1_1fsqmat.html">fsqmat</a> &<a class="el" href="classbdm_1_1fsqmat.html#ae9e9d807cd320ec265df81022eb9f03">M</a>, const ivec &perm)</td></tr> | 
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| 118 |  | 
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| 119 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Constructor. <br></td></tr> | 
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| 120 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="6203529db9dab639f2c123aac9fb6a6c"></a><!-- doxytag: member="bdm::fsqmat::fsqmat" ref="6203529db9dab639f2c123aac9fb6a6c" args="(const vec &d)" --> | 
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| 121 |  </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#6203529db9dab639f2c123aac9fb6a6c">fsqmat</a> (const vec &d)</td></tr> | 
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| 122 |  | 
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| 123 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Constructor. <br></td></tr> | 
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| 124 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="26d4037b787aa9cd63742393e6bd334f"></a><!-- doxytag: member="bdm::fsqmat::~fsqmat" ref="26d4037b787aa9cd63742393e6bd334f" args="()" --> | 
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| 125 | virtual </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#26d4037b787aa9cd63742393e6bd334f">~fsqmat</a> ()</td></tr> | 
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| 126 |  | 
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| 127 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Destructor for future use;. <br></td></tr> | 
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| 128 | <tr><td class="memItemLeft" nowrap align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#d17495888ab35e09ebb9b4e789f586d5">inv</a> (<a class="el" href="classbdm_1_1fsqmat.html">fsqmat</a> &Inv) const </td></tr> | 
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| 129 |  | 
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| 130 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Matrix inversion preserving the chosen form.  <a href="#d17495888ab35e09ebb9b4e789f586d5"></a><br></td></tr> | 
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| 131 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="15de11fa1e280d4caa7cb010711881a0"></a><!-- doxytag: member="bdm::fsqmat::logdet" ref="15de11fa1e280d4caa7cb010711881a0" args="() const " --> | 
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| 132 | double </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#15de11fa1e280d4caa7cb010711881a0">logdet</a> () const </td></tr> | 
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| 133 |  | 
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| 134 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Logarithm of a determinant. <br></td></tr> | 
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| 135 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="766faafcf138610840a6975f8a28d0b6"></a><!-- doxytag: member="bdm::fsqmat::qform" ref="766faafcf138610840a6975f8a28d0b6" args="(const vec &v) const " --> | 
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| 136 | double </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#766faafcf138610840a6975f8a28d0b6">qform</a> (const vec &v) const </td></tr> | 
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| 137 |  | 
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| 138 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Evaluates quadratic form <img class="formulaInl" alt="$x= v'*V*v$" src="form_56.png">;. <br></td></tr> | 
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| 139 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="967cbb3a58a0a6f7bd974f2c6ff5d520"></a><!-- doxytag: member="bdm::fsqmat::invqform" ref="967cbb3a58a0a6f7bd974f2c6ff5d520" args="(const vec &v) const " --> | 
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| 140 | double </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#967cbb3a58a0a6f7bd974f2c6ff5d520">invqform</a> (const vec &v) const </td></tr> | 
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| 141 |  | 
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| 142 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Evaluates quadratic form <img class="formulaInl" alt="$x= v'*inv(V)*v$" src="form_57.png">;. <br></td></tr> | 
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| 143 | <tr><td class="memItemLeft" nowrap align="right" valign="top">vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#ab240f84ea1685bc95df0446f948abfd">sqrt_mult</a> (const vec &v) const </td></tr> | 
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| 144 |  | 
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| 145 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Multiplies square <a class="el" href="classbdm_1_1root.html" title="Root class of BDM objects.">root</a> of <img class="formulaInl" alt="$V$" src="form_55.png"> by vector <img class="formulaInl" alt="$x$" src="form_1.png">.  <a href="#ab240f84ea1685bc95df0446f948abfd"></a><br></td></tr> | 
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| 146 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1a01433460718f7b8a9fa6ba9a911b8a"></a><!-- doxytag: member="bdm::fsqmat::add" ref="1a01433460718f7b8a9fa6ba9a911b8a" args="(const fsqmat &fsq2, double w=1.0)" --> | 
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| 147 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#1a01433460718f7b8a9fa6ba9a911b8a">add</a> (const <a class="el" href="classbdm_1_1fsqmat.html">fsqmat</a> &fsq2, double w=1.0)</td></tr> | 
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| 148 |  | 
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| 149 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Add another matrix in fsq form with weight w. <br></td></tr> | 
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| 150 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d36cb40feaa7079d8687d60bd33e50a5"></a><!-- doxytag: member="bdm::fsqmat::setD" ref="d36cb40feaa7079d8687d60bd33e50a5" args="(const vec &nD)" --> | 
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| 151 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#d36cb40feaa7079d8687d60bd33e50a5">setD</a> (const vec &nD)</td></tr> | 
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| 152 |  | 
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| 153 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Access functions. <br></td></tr> | 
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| 154 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d94e0156c4d15a756b23fa70ab181904"></a><!-- doxytag: member="bdm::fsqmat::getD" ref="d94e0156c4d15a756b23fa70ab181904" args="()" --> | 
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| 155 | vec </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#d94e0156c4d15a756b23fa70ab181904">getD</a> ()</td></tr> | 
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| 156 |  | 
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| 157 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Access functions. <br></td></tr> | 
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| 158 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="19f6f73679a09315babba64a95d89085"></a><!-- doxytag: member="bdm::fsqmat::setD" ref="19f6f73679a09315babba64a95d89085" args="(const vec &nD, int i)" --> | 
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| 159 | void </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#19f6f73679a09315babba64a95d89085">setD</a> (const vec &nD, int i)</td></tr> | 
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| 160 |  | 
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| 161 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Access functions. <br></td></tr> | 
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| 162 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="83db17577372a459433cc56aef712583"></a><!-- doxytag: member="bdm::fsqmat::operator+=" ref="83db17577372a459433cc56aef712583" args="(const fsqmat &A)" --> | 
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| 163 | <a class="el" href="classbdm_1_1fsqmat.html">fsqmat</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#83db17577372a459433cc56aef712583">operator+=</a> (const <a class="el" href="classbdm_1_1fsqmat.html">fsqmat</a> &A)</td></tr> | 
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| 164 |  | 
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| 165 | <tr><td class="mdescLeft"> </td><td class="mdescRight">add another <a class="el" href="classbdm_1_1fsqmat.html" title="Fake sqmat. This class maps sqmat operations to operations on full matrix.">fsqmat</a> matrix <br></td></tr> | 
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| 166 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="019ee2145f7ef263bfb9a72e8e0532d9"></a><!-- doxytag: member="bdm::fsqmat::operator-=" ref="019ee2145f7ef263bfb9a72e8e0532d9" args="(const fsqmat &A)" --> | 
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| 167 | <a class="el" href="classbdm_1_1fsqmat.html">fsqmat</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#019ee2145f7ef263bfb9a72e8e0532d9">operator-=</a> (const <a class="el" href="classbdm_1_1fsqmat.html">fsqmat</a> &A)</td></tr> | 
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| 168 |  | 
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| 169 | <tr><td class="mdescLeft"> </td><td class="mdescRight">subtrack another <a class="el" href="classbdm_1_1fsqmat.html" title="Fake sqmat. This class maps sqmat operations to operations on full matrix.">fsqmat</a> matrix <br></td></tr> | 
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| 170 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="093d62d05f04b97d91084ed97194560b"></a><!-- doxytag: member="bdm::fsqmat::operator*=" ref="093d62d05f04b97d91084ed97194560b" args="(double x)" --> | 
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| 171 | <a class="el" href="classbdm_1_1fsqmat.html">fsqmat</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#093d62d05f04b97d91084ed97194560b">operator*=</a> (double x)</td></tr> | 
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| 172 |  | 
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| 173 | <tr><td class="mdescLeft"> </td><td class="mdescRight">multiply by a scalar <br></td></tr> | 
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| 174 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="445ef762cf5d2d6cfdf53c72942363cf"></a><!-- doxytag: member="bdm::fsqmat::cols" ref="445ef762cf5d2d6cfdf53c72942363cf" args="() const " --> | 
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| 175 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#445ef762cf5d2d6cfdf53c72942363cf">cols</a> () const </td></tr> | 
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| 176 |  | 
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| 177 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Reimplementing common functions of mat: <a class="el" href="classbdm_1_1sqmat.html#445ef762cf5d2d6cfdf53c72942363cf" title="Reimplementing common functions of mat: cols().">cols()</a>. <br></td></tr> | 
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| 178 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="73e639221343dcce76c3305524d67590"></a><!-- doxytag: member="bdm::fsqmat::rows" ref="73e639221343dcce76c3305524d67590" args="() const " --> | 
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| 179 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#73e639221343dcce76c3305524d67590">rows</a> () const </td></tr> | 
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| 180 |  | 
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| 181 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Reimplementing common functions of mat: <a class="el" href="classbdm_1_1sqmat.html#73e639221343dcce76c3305524d67590" title="Reimplementing common functions of mat: rows().">rows()</a>. <br></td></tr> | 
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| 182 | <tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr> | 
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| 183 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ae9e9d807cd320ec265df81022eb9f03"></a><!-- doxytag: member="bdm::fsqmat::M" ref="ae9e9d807cd320ec265df81022eb9f03" args="" --> | 
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| 184 | mat </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#ae9e9d807cd320ec265df81022eb9f03">M</a></td></tr> | 
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| 185 |  | 
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| 186 | <tr><td class="mdescLeft"> </td><td class="mdescRight">Full matrix on which the operations are performed. <br></td></tr> | 
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| 187 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="05111b5744a494880e62cb0f3d42293f"></a><!-- doxytag: member="bdm::fsqmat::dim" ref="05111b5744a494880e62cb0f3d42293f" args="" --> | 
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| 188 | int </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#05111b5744a494880e62cb0f3d42293f">dim</a></td></tr> | 
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| 189 |  | 
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| 190 | <tr><td class="mdescLeft"> </td><td class="mdescRight">dimension of the square matrix <br></td></tr> | 
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| 191 | <tr><td colspan="2"><br><h2>Friends</h2></td></tr> | 
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| 192 | <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e06aba54d61e807b41bd68b5ee6ac22f"></a><!-- doxytag: member="bdm::fsqmat::operator<<" ref="e06aba54d61e807b41bd68b5ee6ac22f" args="(std::ostream &os, const fsqmat &sq)" --> | 
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| 193 | std::ostream & </td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1fsqmat.html#e06aba54d61e807b41bd68b5ee6ac22f">operator<<</a> (std::ostream &os, const <a class="el" href="classbdm_1_1fsqmat.html">fsqmat</a> &sq)</td></tr> | 
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| 194 |  | 
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| 195 | <tr><td class="mdescLeft"> </td><td class="mdescRight">print full matrix <br></td></tr> | 
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| 196 | </table> | 
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| 197 | <hr><a name="_details"></a><h2>Detailed Description</h2> | 
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| 198 | Fake <a class="el" href="classbdm_1_1sqmat.html" title="Abstract class for representation of double symmetric matrices in square-root form...">sqmat</a>. This class maps <a class="el" href="classbdm_1_1sqmat.html" title="Abstract class for representation of double symmetric matrices in square-root form...">sqmat</a> operations to operations on full matrix.  | 
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| 199 | <p> | 
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| 200 | This class can be used to compare performance of algorithms using decomposed matrices with perormance of the same algorithms using full matrices; <hr><h2>Member Function Documentation</h2> | 
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| 201 | <a class="anchor" name="d17495888ab35e09ebb9b4e789f586d5"></a><!-- doxytag: member="bdm::fsqmat::inv" ref="d17495888ab35e09ebb9b4e789f586d5" args="(fsqmat &Inv) const " --> | 
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| 202 | <div class="memitem"> | 
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| 203 | <div class="memproto"> | 
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| 204 |       <table class="memname"> | 
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| 205 |         <tr> | 
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| 206 |           <td class="memname">void bdm::fsqmat::inv           </td> | 
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| 207 |           <td>(</td> | 
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| 208 |           <td class="paramtype"><a class="el" href="classbdm_1_1fsqmat.html">fsqmat</a> & </td> | 
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| 209 |           <td class="paramname"> <em>Inv</em>          </td> | 
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| 210 |           <td> ) </td> | 
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| 211 |           <td> const</td> | 
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| 212 |         </tr> | 
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| 213 |       </table> | 
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| 214 | </div> | 
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| 215 | <div class="memdoc"> | 
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| 216 |  | 
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| 217 | <p> | 
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| 218 | Matrix inversion preserving the chosen form.  | 
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| 219 | <p> | 
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| 220 | <dl compact><dt><b>Parameters:</b></dt><dd> | 
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| 221 |   <table border="0" cellspacing="2" cellpadding="0"> | 
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| 222 |     <tr><td valign="top"></td><td valign="top"><em>Inv</em> </td><td>a space where the inverse is stored. </td></tr> | 
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| 223 |   </table> | 
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| 224 | </dl> | 
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| 225 |  | 
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| 226 | <p>References <a class="el" href="square__mat_8h-source.html#l00122">M</a>.</p> | 
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| 227 |  | 
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| 228 | <p>Referenced by <a class="el" href="kalman_8h-source.html#l00487">bdm::EKF< sq_T >::bayes()</a>, and <a class="el" href="exp__family_8cpp-source.html#l00025">bdm::egiw::evallog_nn()</a>.</p> | 
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| 229 |  | 
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| 230 | </div> | 
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| 231 | </div><p> | 
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| 232 | <a class="anchor" name="fca713af3f74677fd7fbafe723590112"></a><!-- doxytag: member="bdm::fsqmat::mult_sym" ref="fca713af3f74677fd7fbafe723590112" args="(const mat &C)" --> | 
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| 233 | <div class="memitem"> | 
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| 234 | <div class="memproto"> | 
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| 235 |       <table class="memname"> | 
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| 236 |         <tr> | 
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| 237 |           <td class="memname">void bdm::fsqmat::mult_sym           </td> | 
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| 238 |           <td>(</td> | 
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| 239 |           <td class="paramtype">const mat & </td> | 
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| 240 |           <td class="paramname"> <em>C</em>          </td> | 
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| 241 |           <td> ) </td> | 
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| 242 |           <td><code> [virtual]</code></td> | 
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| 243 |         </tr> | 
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| 244 |       </table> | 
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| 245 | </div> | 
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| 246 | <div class="memdoc"> | 
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| 247 |  | 
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| 248 | <p> | 
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| 249 | Inplace symmetric multiplication by a SQUARE matrix <img class="formulaInl" alt="$C$" src="form_52.png">, i.e. <img class="formulaInl" alt="$V = C*V*C'$" src="form_53.png">.  | 
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| 250 | <p> | 
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| 251 | <dl compact><dt><b>Parameters:</b></dt><dd> | 
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| 252 |   <table border="0" cellspacing="2" cellpadding="0"> | 
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| 253 |     <tr><td valign="top"></td><td valign="top"><em>C</em> </td><td>multiplying matrix, </td></tr> | 
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| 254 |   </table> | 
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| 255 | </dl> | 
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| 256 |  | 
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| 257 | <p>Implements <a class="el" href="classbdm_1_1sqmat.html#742581db1f8ce9602ec1c3e6373e499c">bdm::sqmat</a>.</p> | 
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| 258 |  | 
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| 259 | <p>References <a class="el" href="square__mat_8h-source.html#l00122">M</a>.</p> | 
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| 260 |  | 
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| 261 | <p>Referenced by <a class="el" href="kalman_8h-source.html#l00487">bdm::EKF< sq_T >::bayes()</a>.</p> | 
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| 262 |  | 
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| 263 | </div> | 
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| 264 | </div><p> | 
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| 265 | <a class="anchor" name="0f6b7cf09daf484f29ea99a144a27039"></a><!-- doxytag: member="bdm::fsqmat::mult_sym_t" ref="0f6b7cf09daf484f29ea99a144a27039" args="(const mat &C)" --> | 
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| 266 | <div class="memitem"> | 
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| 267 | <div class="memproto"> | 
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| 268 |       <table class="memname"> | 
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| 269 |         <tr> | 
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| 270 |           <td class="memname">void bdm::fsqmat::mult_sym_t           </td> | 
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| 271 |           <td>(</td> | 
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| 272 |           <td class="paramtype">const mat & </td> | 
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| 273 |           <td class="paramname"> <em>C</em>          </td> | 
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| 274 |           <td> ) </td> | 
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| 275 |           <td><code> [virtual]</code></td> | 
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| 276 |         </tr> | 
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| 277 |       </table> | 
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| 278 | </div> | 
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| 279 | <div class="memdoc"> | 
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| 280 |  | 
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| 281 | <p> | 
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| 282 | Inplace symmetric multiplication by a SQUARE transpose of matrix <img class="formulaInl" alt="$C$" src="form_52.png">, i.e. <img class="formulaInl" alt="$V = C'*V*C$" src="form_54.png">.  | 
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| 283 | <p> | 
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| 284 | <dl compact><dt><b>Parameters:</b></dt><dd> | 
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| 285 |   <table border="0" cellspacing="2" cellpadding="0"> | 
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| 286 |     <tr><td valign="top"></td><td valign="top"><em>C</em> </td><td>multiplying matrix, </td></tr> | 
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| 287 |   </table> | 
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| 288 | </dl> | 
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| 289 |  | 
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| 290 | <p>Implements <a class="el" href="classbdm_1_1sqmat.html#2db6f35ac14e6d1d905b4100e4c13743">bdm::sqmat</a>.</p> | 
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| 291 |  | 
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| 292 | <p>References <a class="el" href="square__mat_8h-source.html#l00122">M</a>.</p> | 
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| 293 |  | 
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| 294 | </div> | 
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| 295 | </div><p> | 
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| 296 | <a class="anchor" name="a41b3686a77d1f9657b6942b01cfd8be"></a><!-- doxytag: member="bdm::fsqmat::opupdt" ref="a41b3686a77d1f9657b6942b01cfd8be" args="(const vec &v, double w)" --> | 
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| 297 | <div class="memitem"> | 
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| 298 | <div class="memproto"> | 
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| 299 |       <table class="memname"> | 
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| 300 |         <tr> | 
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| 301 |           <td class="memname">void bdm::fsqmat::opupdt           </td> | 
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| 302 |           <td>(</td> | 
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| 303 |           <td class="paramtype">const vec & </td> | 
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| 304 |           <td class="paramname"> <em>v</em>, </td> | 
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| 305 |         </tr> | 
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| 306 |         <tr> | 
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| 307 |           <td class="paramkey"></td> | 
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| 308 |           <td></td> | 
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| 309 |           <td class="paramtype">double </td> | 
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| 310 |           <td class="paramname"> <em>w</em></td><td> </td> | 
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| 311 |         </tr> | 
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| 312 |         <tr> | 
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| 313 |           <td></td> | 
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| 314 |           <td>)</td> | 
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| 315 |           <td></td><td></td><td><code> [virtual]</code></td> | 
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| 316 |         </tr> | 
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| 317 |       </table> | 
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| 318 | </div> | 
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| 319 | <div class="memdoc"> | 
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| 320 |  | 
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| 321 | <p> | 
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| 322 | Perfroms a rank-1 update by outer product of vectors: <img class="formulaInl" alt="$V = V + w v v'$" src="form_51.png">. <dl compact><dt><b>Parameters:</b></dt><dd> | 
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| 323 |   <table border="0" cellspacing="2" cellpadding="0"> | 
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| 324 |     <tr><td valign="top"></td><td valign="top"><em>v</em> </td><td>Vector forming the outer product to be added </td></tr> | 
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| 325 |     <tr><td valign="top"></td><td valign="top"><em>w</em> </td><td>weight of updating; can be negative</td></tr> | 
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| 326 |   </table> | 
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| 327 | </dl> | 
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| 328 | BLAS-2b operation.  | 
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| 329 | <p>Implements <a class="el" href="classbdm_1_1sqmat.html#cb3b3eef10b0c1f41ead717d3ad40ec5">bdm::sqmat</a>.</p> | 
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| 330 |  | 
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| 331 | <p>References <a class="el" href="square__mat_8h-source.html#l00122">M</a>.</p> | 
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| 332 |  | 
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| 333 | </div> | 
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| 334 | </div><p> | 
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| 335 | <a class="anchor" name="ab240f84ea1685bc95df0446f948abfd"></a><!-- doxytag: member="bdm::fsqmat::sqrt_mult" ref="ab240f84ea1685bc95df0446f948abfd" args="(const vec &v) const " --> | 
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| 336 | <div class="memitem"> | 
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| 337 | <div class="memproto"> | 
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| 338 |       <table class="memname"> | 
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| 339 |         <tr> | 
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| 340 |           <td class="memname">vec bdm::fsqmat::sqrt_mult           </td> | 
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| 341 |           <td>(</td> | 
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| 342 |           <td class="paramtype">const vec & </td> | 
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| 343 |           <td class="paramname"> <em>v</em>          </td> | 
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| 344 |           <td> ) </td> | 
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| 345 |           <td> const<code> [inline, virtual]</code></td> | 
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| 346 |         </tr> | 
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| 347 |       </table> | 
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| 348 | </div> | 
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| 349 | <div class="memdoc"> | 
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| 350 |  | 
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| 351 | <p> | 
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| 352 | Multiplies square <a class="el" href="classbdm_1_1root.html" title="Root class of BDM objects.">root</a> of <img class="formulaInl" alt="$V$" src="form_55.png"> by vector <img class="formulaInl" alt="$x$" src="form_1.png">.  | 
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| 353 | <p> | 
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| 354 | Used e.g. in generating normal samples.  | 
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| 355 | <p>Implements <a class="el" href="classbdm_1_1sqmat.html#608bfff59854833f1acfccdbd346832a">bdm::sqmat</a>.</p> | 
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| 356 |  | 
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| 357 | <p>References <a class="el" href="square__mat_8h-source.html#l00122">M</a>.</p> | 
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| 358 |  | 
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| 359 | </div> | 
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| 360 | </div><p> | 
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| 361 | <hr>The documentation for this class was generated from the following files:<ul> | 
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| 362 | <li><a class="el" href="square__mat_8h-source.html">square_mat.h</a><li>square_mat.cpp</ul> | 
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| 363 | </div> | 
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| 364 | <hr size="1"><address style="text-align: right;"><small>Generated on Sun Aug 16 17:58:19 2009 for mixpp by  | 
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| 365 | <a href="http://www.doxygen.org/index.html"> | 
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| 366 | <img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.8 </small></address> | 
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| 367 | </body> | 
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| 368 | </html> | 
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