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23<h1>fsqmat Class Reference</h1><!-- doxytag: class="fsqmat" --><!-- doxytag: inherits="sqmat" -->Fake <a class="el" href="classsqmat.html" title="Virtual class for representation of double symmetric matrices in square-root form...">sqmat</a>. This class maps <a class="el" href="classsqmat.html" title="Virtual class for representation of double symmetric matrices in square-root form...">sqmat</a> operations to operations on full matrix. 
24<a href="#_details">More...</a>
25<p>
26<code>#include &lt;<a class="el" href="libDC_8h-source.html">libDC.h</a>&gt;</code>
27<p>
28<div class="dynheader">
29Inheritance diagram for fsqmat:</div>
30<div class="dynsection">
31<p><center><img src="classfsqmat__inherit__graph.png" border="0" usemap="#fsqmat__inherit__map" alt="Inheritance graph"></center>
32<map name="fsqmat__inherit__map">
33<area shape="rect" href="classsqmat.html" title="Virtual class for representation of double symmetric matrices in square&#45;root form..." alt="" coords="8,7,69,33"></map>
34<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div>
35<div class="dynheader">
36Collaboration diagram for fsqmat:</div>
37<div class="dynsection">
38<p><center><img src="classfsqmat__coll__graph.png" border="0" usemap="#fsqmat__coll__map" alt="Collaboration graph"></center>
39<map name="fsqmat__coll__map">
40<area shape="rect" href="classsqmat.html" title="Virtual class for representation of double symmetric matrices in square&#45;root form..." alt="" coords="8,7,69,33"></map>
41<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div>
42
43<p>
44<a href="classfsqmat-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0">
45<tr><td></td></tr>
46<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
47<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#b36530e155667fe9f1bd58394e50c65a">opupdt</a> (const vec &amp;v, double w)</td></tr>
48
49<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="cedf4f048309056f4262c930914dfda8"></a><!-- doxytag: member="fsqmat::to_mat" ref="cedf4f048309056f4262c930914dfda8" args="()" -->
50mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#cedf4f048309056f4262c930914dfda8">to_mat</a> ()</td></tr>
51
52<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Conversion to full matrix. <br></td></tr>
53<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#5530d2756b5d991de755e6121c9a452e">mult_sym</a> (const mat &amp;C)</td></tr>
54
55<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inplace symmetric multiplication by a SQUARE matrix <img class="formulaInl" alt="$C$" src="form_24.png">, i.e. <img class="formulaInl" alt="$V = C*V*C'$" src="form_25.png">.  <a href="#5530d2756b5d991de755e6121c9a452e"></a><br></td></tr>
56<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#92052a8adc2054b63e42d1373d145c89">mult_sym_t</a> (const mat &amp;C)</td></tr>
57
58<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inplace symmetric multiplication by a SQUARE transpose of matrix <img class="formulaInl" alt="$C$" src="form_24.png">, i.e. <img class="formulaInl" alt="$V = C'*V*C$" src="form_26.png">.  <a href="#92052a8adc2054b63e42d1373d145c89"></a><br></td></tr>
59<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d4eddc3743c8865cc5ed92d14de0e3e3"></a><!-- doxytag: member="fsqmat::mult_sym" ref="d4eddc3743c8865cc5ed92d14de0e3e3" args="(const mat &amp;C, fsqmat &amp;U) const " -->
60void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#d4eddc3743c8865cc5ed92d14de0e3e3">mult_sym</a> (const mat &amp;C, <a class="el" href="classfsqmat.html">fsqmat</a> &amp;U) const </td></tr>
61
62<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">store result of <code>mult_sym</code> in external matrix <img class="formulaInl" alt="$U$" src="form_31.png"> <br></td></tr>
63<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ae4949ad2a32553c7fa04d6d1483770a"></a><!-- doxytag: member="fsqmat::mult_sym_t" ref="ae4949ad2a32553c7fa04d6d1483770a" args="(const mat &amp;C, fsqmat &amp;U) const " -->
64void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#ae4949ad2a32553c7fa04d6d1483770a">mult_sym_t</a> (const mat &amp;C, <a class="el" href="classfsqmat.html">fsqmat</a> &amp;U) const </td></tr>
65
66<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">store result of <code>mult_sym_t</code> in external matrix <img class="formulaInl" alt="$U$" src="form_31.png"> <br></td></tr>
67<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="cfa4c359483d2322f32d1d50050f8ac4"></a><!-- doxytag: member="fsqmat::clear" ref="cfa4c359483d2322f32d1d50050f8ac4" args="()" -->
68void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#cfa4c359483d2322f32d1d50050f8ac4">clear</a> ()</td></tr>
69
70<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Clearing matrix so that it corresponds to zeros. <br></td></tr>
71<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="79e3f73e0ccd663c7f7e08083d272940"></a><!-- doxytag: member="fsqmat::fsqmat" ref="79e3f73e0ccd663c7f7e08083d272940" args="()" -->
72&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#79e3f73e0ccd663c7f7e08083d272940">fsqmat</a> ()</td></tr>
73
74<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default initialization. <br></td></tr>
75<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="40eae99305e7c7240fa95cfec125b06f"></a><!-- doxytag: member="fsqmat::fsqmat" ref="40eae99305e7c7240fa95cfec125b06f" args="(const int dim0)" -->
76&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#40eae99305e7c7240fa95cfec125b06f">fsqmat</a> (const int dim0)</td></tr>
77
78<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default initialization with proper size. <br></td></tr>
79<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1929fbc9fe375f1d67f979d0d302336f"></a><!-- doxytag: member="fsqmat::fsqmat" ref="1929fbc9fe375f1d67f979d0d302336f" args="(const mat &amp;M)" -->
80&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#1929fbc9fe375f1d67f979d0d302336f">fsqmat</a> (const mat &amp;<a class="el" href="classfsqmat.html#a7a1fcb9aae19d1e4daddfc9c22ce453">M</a>)</td></tr>
81
82<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructor. <br></td></tr>
83<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c01f3e9bb590f2a2921369d672f3ce1e"></a><!-- doxytag: member="fsqmat::fsqmat" ref="c01f3e9bb590f2a2921369d672f3ce1e" args="(const vec &amp;d)" -->
84&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#c01f3e9bb590f2a2921369d672f3ce1e">fsqmat</a> (const vec &amp;d)</td></tr>
85
86<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructor. <br></td></tr>
87<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="2a8f104e4befbc2aa90d8b11edfedb2e"></a><!-- doxytag: member="fsqmat::~fsqmat" ref="2a8f104e4befbc2aa90d8b11edfedb2e" args="()" -->
88virtual&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#2a8f104e4befbc2aa90d8b11edfedb2e">~fsqmat</a> ()</td></tr>
89
90<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Destructor for future use;. <br></td></tr>
91<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#9fa853e1ca28f2a1a1c43377e798ecb1">inv</a> (<a class="el" href="classfsqmat.html">fsqmat</a> &amp;Inv)</td></tr>
92
93<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Matrix inversion preserving the chosen form.  <a href="#9fa853e1ca28f2a1a1c43377e798ecb1"></a><br></td></tr>
94<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="eb0d1358f536e4453b5f99d0418ca1e5"></a><!-- doxytag: member="fsqmat::logdet" ref="eb0d1358f536e4453b5f99d0418ca1e5" args="() const " -->
95double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#eb0d1358f536e4453b5f99d0418ca1e5">logdet</a> () const </td></tr>
96
97<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Logarithm of a determinant. <br></td></tr>
98<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a6c91b0389e73404324b2314b08d6e87"></a><!-- doxytag: member="fsqmat::qform" ref="a6c91b0389e73404324b2314b08d6e87" args="(const vec &amp;v) const " -->
99double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#a6c91b0389e73404324b2314b08d6e87">qform</a> (const vec &amp;v) const </td></tr>
100
101<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates quadratic form <img class="formulaInl" alt="$x= v'*V*v$" src="form_29.png">;. <br></td></tr>
102<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="58075da64ddadd4df40654c35b928c6f"></a><!-- doxytag: member="fsqmat::invqform" ref="58075da64ddadd4df40654c35b928c6f" args="(const vec &amp;v) const " -->
103double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#58075da64ddadd4df40654c35b928c6f">invqform</a> (const vec &amp;v) const </td></tr>
104
105<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates quadratic form <img class="formulaInl" alt="$x= v'*inv(V)*v$" src="form_30.png">;. <br></td></tr>
106<tr><td class="memItemLeft" nowrap align="right" valign="top">vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#842a774077ee34ac3c36d180ab33e103">sqrt_mult</a> (const vec &amp;v) const </td></tr>
107
108<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Multiplies square root of <img class="formulaInl" alt="$V$" src="form_27.png"> by vector <img class="formulaInl" alt="$x$" src="form_28.png">.  <a href="#842a774077ee34ac3c36d180ab33e103"></a><br></td></tr>
109<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="922f8190c13987cbcdb33ec2bf5cf105"></a><!-- doxytag: member="fsqmat::setD" ref="922f8190c13987cbcdb33ec2bf5cf105" args="(const vec &amp;nD)" -->
110void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#922f8190c13987cbcdb33ec2bf5cf105">setD</a> (const vec &amp;nD)</td></tr>
111
112<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Access functions. <br></td></tr>
113<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="bcf837b2956745e8986044f5600dbd6e"></a><!-- doxytag: member="fsqmat::getD" ref="bcf837b2956745e8986044f5600dbd6e" args="()" -->
114vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#bcf837b2956745e8986044f5600dbd6e">getD</a> ()</td></tr>
115
116<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Access functions. <br></td></tr>
117<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="03a8f49eb4d38a054ecc522be59cd2ad"></a><!-- doxytag: member="fsqmat::setD" ref="03a8f49eb4d38a054ecc522be59cd2ad" args="(const vec &amp;nD, int i)" -->
118void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#03a8f49eb4d38a054ecc522be59cd2ad">setD</a> (const vec &amp;nD, int i)</td></tr>
119
120<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Access functions. <br></td></tr>
121<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="514d1fdd8a382dbd6a774f2cf1ebd3de"></a><!-- doxytag: member="fsqmat::operator+=" ref="514d1fdd8a382dbd6a774f2cf1ebd3de" args="(const fsqmat &amp;A)" -->
122<a class="el" href="classfsqmat.html">fsqmat</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#514d1fdd8a382dbd6a774f2cf1ebd3de">operator+=</a> (const <a class="el" href="classfsqmat.html">fsqmat</a> &amp;A)</td></tr>
123
124<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">add another <a class="el" href="classfsqmat.html" title="Fake sqmat. This class maps sqmat operations to operations on full matrix.">fsqmat</a> matrix <br></td></tr>
125<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e976bc9d899961e1d2087b0630ed33b7"></a><!-- doxytag: member="fsqmat::operator-=" ref="e976bc9d899961e1d2087b0630ed33b7" args="(const fsqmat &amp;A)" -->
126<a class="el" href="classfsqmat.html">fsqmat</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#e976bc9d899961e1d2087b0630ed33b7">operator-=</a> (const <a class="el" href="classfsqmat.html">fsqmat</a> &amp;A)</td></tr>
127
128<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">subtrack another <a class="el" href="classfsqmat.html" title="Fake sqmat. This class maps sqmat operations to operations on full matrix.">fsqmat</a> matrix <br></td></tr>
129<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="8f7ce97628a50e06641281096b2af9b7"></a><!-- doxytag: member="fsqmat::operator *=" ref="8f7ce97628a50e06641281096b2af9b7" args="(double x)" -->
130<a class="el" href="classfsqmat.html">fsqmat</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#8f7ce97628a50e06641281096b2af9b7">operator *=</a> (double x)</td></tr>
131
132<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">multiply by a scalar <br></td></tr>
133<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ecc2e2540f95a04f4449842588170f5b"></a><!-- doxytag: member="fsqmat::cols" ref="ecc2e2540f95a04f4449842588170f5b" args="() const " -->
134int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#ecc2e2540f95a04f4449842588170f5b">cols</a> () const </td></tr>
135
136<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Reimplementing common functions of mat: <a class="el" href="classsqmat.html#ecc2e2540f95a04f4449842588170f5b" title="Reimplementing common functions of mat: cols().">cols()</a>. <br></td></tr>
137<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="071e80ced9cc3b8cbb360fa7462eb646"></a><!-- doxytag: member="fsqmat::rows" ref="071e80ced9cc3b8cbb360fa7462eb646" args="() const " -->
138int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#071e80ced9cc3b8cbb360fa7462eb646">rows</a> () const </td></tr>
139
140<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Reimplementing common functions of mat: <a class="el" href="classsqmat.html#ecc2e2540f95a04f4449842588170f5b" title="Reimplementing common functions of mat: cols().">cols()</a>. <br></td></tr>
141<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr>
142<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a7a1fcb9aae19d1e4daddfc9c22ce453"></a><!-- doxytag: member="fsqmat::M" ref="a7a1fcb9aae19d1e4daddfc9c22ce453" args="" -->
143mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#a7a1fcb9aae19d1e4daddfc9c22ce453">M</a></td></tr>
144
145<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Full matrix on which the operations are performed. <br></td></tr>
146<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0abed904bdc0882373ba9adba919689d"></a><!-- doxytag: member="fsqmat::dim" ref="0abed904bdc0882373ba9adba919689d" args="" -->
147int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#0abed904bdc0882373ba9adba919689d">dim</a></td></tr>
148
149<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">dimension of the square matrix <br></td></tr>
150<tr><td colspan="2"><br><h2>Friends</h2></td></tr>
151<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e06aba54d61e807b41bd68b5ee6ac22f"></a><!-- doxytag: member="fsqmat::operator&lt;&lt;" ref="e06aba54d61e807b41bd68b5ee6ac22f" args="(std::ostream &amp;os, const fsqmat &amp;sq)" -->
152std::ostream &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#e06aba54d61e807b41bd68b5ee6ac22f">operator&lt;&lt;</a> (std::ostream &amp;os, const <a class="el" href="classfsqmat.html">fsqmat</a> &amp;sq)</td></tr>
153
154<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">print full matrix <br></td></tr>
155</table>
156<hr><a name="_details"></a><h2>Detailed Description</h2>
157Fake <a class="el" href="classsqmat.html" title="Virtual class for representation of double symmetric matrices in square-root form...">sqmat</a>. This class maps <a class="el" href="classsqmat.html" title="Virtual class for representation of double symmetric matrices in square-root form...">sqmat</a> operations to operations on full matrix.
158<p>
159This 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>
160<a class="anchor" name="b36530e155667fe9f1bd58394e50c65a"></a><!-- doxytag: member="fsqmat::opupdt" ref="b36530e155667fe9f1bd58394e50c65a" args="(const vec &amp;v, double w)" -->
161<div class="memitem">
162<div class="memproto">
163      <table class="memname">
164        <tr>
165          <td class="memname">void fsqmat::opupdt           </td>
166          <td>(</td>
167          <td class="paramtype">const vec &amp;&nbsp;</td>
168          <td class="paramname"> <em>v</em>, </td>
169        </tr>
170        <tr>
171          <td class="paramkey"></td>
172          <td></td>
173          <td class="paramtype">double&nbsp;</td>
174          <td class="paramname"> <em>w</em></td><td>&nbsp;</td>
175        </tr>
176        <tr>
177          <td></td>
178          <td>)</td>
179          <td></td><td></td><td width="100%"><code> [virtual]</code></td>
180        </tr>
181      </table>
182</div>
183<div class="memdoc">
184
185<p>
186Perfroms a rank-1 update by outer product of vectors: <img class="formulaInl" alt="$V = V + w v v'$" src="form_23.png">. <dl compact><dt><b>Parameters:</b></dt><dd>
187  <table border="0" cellspacing="2" cellpadding="0">
188    <tr><td valign="top"></td><td valign="top"><em>v</em>&nbsp;</td><td>Vector forming the outer product to be added </td></tr>
189    <tr><td valign="top"></td><td valign="top"><em>w</em>&nbsp;</td><td>weight of updating; can be negative</td></tr>
190  </table>
191</dl>
192BLAS-2b operation.
193<p>Implements <a class="el" href="classsqmat.html#b223484796661f2dadb5607a86ce0581">sqmat</a>.</p>
194
195</div>
196</div><p>
197<a class="anchor" name="5530d2756b5d991de755e6121c9a452e"></a><!-- doxytag: member="fsqmat::mult_sym" ref="5530d2756b5d991de755e6121c9a452e" args="(const mat &amp;C)" -->
198<div class="memitem">
199<div class="memproto">
200      <table class="memname">
201        <tr>
202          <td class="memname">void fsqmat::mult_sym           </td>
203          <td>(</td>
204          <td class="paramtype">const mat &amp;&nbsp;</td>
205          <td class="paramname"> <em>C</em>          </td>
206          <td>&nbsp;)&nbsp;</td>
207          <td width="100%"><code> [virtual]</code></td>
208        </tr>
209      </table>
210</div>
211<div class="memdoc">
212
213<p>
214Inplace symmetric multiplication by a SQUARE matrix <img class="formulaInl" alt="$C$" src="form_24.png">, i.e. <img class="formulaInl" alt="$V = C*V*C'$" src="form_25.png">.
215<p>
216<dl compact><dt><b>Parameters:</b></dt><dd>
217  <table border="0" cellspacing="2" cellpadding="0">
218    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>multiplying matrix, </td></tr>
219  </table>
220</dl>
221
222<p>Implements <a class="el" href="classsqmat.html#60fbbfa9e483b8187c135f787ee53afa">sqmat</a>.</p>
223
224</div>
225</div><p>
226<a class="anchor" name="92052a8adc2054b63e42d1373d145c89"></a><!-- doxytag: member="fsqmat::mult_sym_t" ref="92052a8adc2054b63e42d1373d145c89" args="(const mat &amp;C)" -->
227<div class="memitem">
228<div class="memproto">
229      <table class="memname">
230        <tr>
231          <td class="memname">void fsqmat::mult_sym_t           </td>
232          <td>(</td>
233          <td class="paramtype">const mat &amp;&nbsp;</td>
234          <td class="paramname"> <em>C</em>          </td>
235          <td>&nbsp;)&nbsp;</td>
236          <td width="100%"><code> [virtual]</code></td>
237        </tr>
238      </table>
239</div>
240<div class="memdoc">
241
242<p>
243Inplace symmetric multiplication by a SQUARE transpose of matrix <img class="formulaInl" alt="$C$" src="form_24.png">, i.e. <img class="formulaInl" alt="$V = C'*V*C$" src="form_26.png">.
244<p>
245<dl compact><dt><b>Parameters:</b></dt><dd>
246  <table border="0" cellspacing="2" cellpadding="0">
247    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>multiplying matrix, </td></tr>
248  </table>
249</dl>
250
251<p>Implements <a class="el" href="classsqmat.html#6909e906da17725b1b80f3cae7cf3325">sqmat</a>.</p>
252
253</div>
254</div><p>
255<a class="anchor" name="9fa853e1ca28f2a1a1c43377e798ecb1"></a><!-- doxytag: member="fsqmat::inv" ref="9fa853e1ca28f2a1a1c43377e798ecb1" args="(fsqmat &amp;Inv)" -->
256<div class="memitem">
257<div class="memproto">
258      <table class="memname">
259        <tr>
260          <td class="memname">void fsqmat::inv           </td>
261          <td>(</td>
262          <td class="paramtype"><a class="el" href="classfsqmat.html">fsqmat</a> &amp;&nbsp;</td>
263          <td class="paramname"> <em>Inv</em>          </td>
264          <td>&nbsp;)&nbsp;</td>
265          <td width="100%"><code> [virtual]</code></td>
266        </tr>
267      </table>
268</div>
269<div class="memdoc">
270
271<p>
272Matrix inversion preserving the chosen form.
273<p>
274<dl compact><dt><b>Parameters:</b></dt><dd>
275  <table border="0" cellspacing="2" cellpadding="0">
276    <tr><td valign="top"></td><td valign="top"><em>Inv</em>&nbsp;</td><td>a space where the inverse is stored. </td></tr>
277  </table>
278</dl>
279
280</div>
281</div><p>
282<a class="anchor" name="842a774077ee34ac3c36d180ab33e103"></a><!-- doxytag: member="fsqmat::sqrt_mult" ref="842a774077ee34ac3c36d180ab33e103" args="(const vec &amp;v) const " -->
283<div class="memitem">
284<div class="memproto">
285      <table class="memname">
286        <tr>
287          <td class="memname">vec fsqmat::sqrt_mult           </td>
288          <td>(</td>
289          <td class="paramtype">const vec &amp;&nbsp;</td>
290          <td class="paramname"> <em>v</em>          </td>
291          <td>&nbsp;)&nbsp;</td>
292          <td width="100%"> const<code> [inline, virtual]</code></td>
293        </tr>
294      </table>
295</div>
296<div class="memdoc">
297
298<p>
299Multiplies square root of <img class="formulaInl" alt="$V$" src="form_27.png"> by vector <img class="formulaInl" alt="$x$" src="form_28.png">.
300<p>
301Used e.g. in generating normal samples.
302<p>Implements <a class="el" href="classsqmat.html#6b79438b5d7544a9c8e110a145355d8f">sqmat</a>.</p>
303
304</div>
305</div><p>
306<hr>The documentation for this class was generated from the following files:<ul>
307<li>work/mixpp/bdm/math/<a class="el" href="libDC_8h-source.html">libDC.h</a><li>work/mixpp/bdm/math/libDC.cpp</ul>
308<hr size="1"><address style="text-align: right;"><small>Generated on Fri Apr 18 11:15:20 2008 for mixpp by&nbsp;
309<a href="http://www.doxygen.org/index.html">
310<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.3 </small></address>
311</body>
312</html>
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