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Matrix in Cholesky decomposition, Square-root Kalman and many bug fixes

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[8]1<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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3<title>mixpp: fsqmat Class Reference</title>
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9  <ul>
10    <li><a href="index.html"><span>Main&nbsp;Page</span></a></li>
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[28]13    <li><a href="pages.html"><span>Related&nbsp;Pages</span></a></li>
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18    <li><a href="annotated.html"><span>Class&nbsp;List</span></a></li>
19    <li><a href="hierarchy.html"><span>Class&nbsp;Hierarchy</span></a></li>
20    <li><a href="functions.html"><span>Class&nbsp;Members</span></a></li>
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22</div>
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">
[19]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>
[8]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>
[22]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>
[32]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>
[22]54
[32]55<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inplace symmetric multiplication by a SQUARE matrix $C$, i.e. $V = C*V*C'$.  <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>
[22]57
[32]58<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inplace symmetric multiplication by a SQUARE transpose of matrix $C$, i.e. $V = C'*V*C$.  <a href="#92052a8adc2054b63e42d1373d145c89"></a><br></td></tr>
[33]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>
[32]61
[33]62<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">store result of <code>mult_sym</code> in external matrix $U$ <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>
[32]65
[33]66<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">store result of <code>mult_sym_t</code> in external matrix $U$ <br></td></tr>
[22]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>
[32]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>
[22]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)" -->
[33]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>
[22]81
82<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructor. <br></td></tr>
[32]83<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="2a8f104e4befbc2aa90d8b11edfedb2e"></a><!-- doxytag: member="fsqmat::~fsqmat" ref="2a8f104e4befbc2aa90d8b11edfedb2e" args="()" -->
84virtual&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#2a8f104e4befbc2aa90d8b11edfedb2e">~fsqmat</a> ()</td></tr>
85
86<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Destructor for future use;. <br></td></tr>
[28]87<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>
[22]88
[28]89<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Matrix inversion preserving the chosen form.  <a href="#9fa853e1ca28f2a1a1c43377e798ecb1"></a><br></td></tr>
[32]90<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="eb0d1358f536e4453b5f99d0418ca1e5"></a><!-- doxytag: member="fsqmat::logdet" ref="eb0d1358f536e4453b5f99d0418ca1e5" args="() const " -->
91double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#eb0d1358f536e4453b5f99d0418ca1e5">logdet</a> () const </td></tr>
[22]92
93<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Logarithm of a determinant. <br></td></tr>
[33]94<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 " -->
95double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#a6c91b0389e73404324b2314b08d6e87">qform</a> (const vec &amp;v) const </td></tr>
[22]96
97<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates quadratic form $x= v'*V*v$;. <br></td></tr>
[33]98<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>
[22]99
[33]100<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Multiplies square root of $V$ by vector $x$.  <a href="#842a774077ee34ac3c36d180ab33e103"></a><br></td></tr>
[22]101<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)" -->
[33]102<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>
[22]103
[33]104<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>
[22]105<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)" -->
[33]106<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>
[22]107
[33]108<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>
[22]109<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="8f7ce97628a50e06641281096b2af9b7"></a><!-- doxytag: member="fsqmat::operator *=" ref="8f7ce97628a50e06641281096b2af9b7" args="(double x)" -->
[33]110<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>
[22]111
[33]112<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">multiply by a scalar <br></td></tr>
[28]113<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ecc2e2540f95a04f4449842588170f5b"></a><!-- doxytag: member="fsqmat::cols" ref="ecc2e2540f95a04f4449842588170f5b" args="() const " -->
114int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#ecc2e2540f95a04f4449842588170f5b">cols</a> () const </td></tr>
115
116<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>
117<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="071e80ced9cc3b8cbb360fa7462eb646"></a><!-- doxytag: member="fsqmat::rows" ref="071e80ced9cc3b8cbb360fa7462eb646" args="() const " -->
118int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#071e80ced9cc3b8cbb360fa7462eb646">rows</a> () const </td></tr>
119
120<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>
[22]121<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr>
122<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a7a1fcb9aae19d1e4daddfc9c22ce453"></a><!-- doxytag: member="fsqmat::M" ref="a7a1fcb9aae19d1e4daddfc9c22ce453" args="" -->
[33]123mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#a7a1fcb9aae19d1e4daddfc9c22ce453">M</a></td></tr>
[22]124
[33]125<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Full matrix on which the operations are performed. <br></td></tr>
[28]126<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0abed904bdc0882373ba9adba919689d"></a><!-- doxytag: member="fsqmat::dim" ref="0abed904bdc0882373ba9adba919689d" args="" -->
[33]127int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#0abed904bdc0882373ba9adba919689d">dim</a></td></tr>
[28]128
[33]129<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">dimension of the square matrix <br></td></tr>
[32]130<tr><td colspan="2"><br><h2>Friends</h2></td></tr>
131<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)" -->
[33]132std::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>
[32]133
[33]134<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">print full matrix <br></td></tr>
[8]135</table>
136<hr><a name="_details"></a><h2>Detailed Description</h2>
137Fake <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.
138<p>
[22]139This 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>
140<a class="anchor" name="b36530e155667fe9f1bd58394e50c65a"></a><!-- doxytag: member="fsqmat::opupdt" ref="b36530e155667fe9f1bd58394e50c65a" args="(const vec &amp;v, double w)" -->
141<div class="memitem">
142<div class="memproto">
143      <table class="memname">
144        <tr>
145          <td class="memname">void fsqmat::opupdt           </td>
146          <td>(</td>
147          <td class="paramtype">const vec &amp;&nbsp;</td>
148          <td class="paramname"> <em>v</em>, </td>
149        </tr>
150        <tr>
151          <td class="paramkey"></td>
152          <td></td>
153          <td class="paramtype">double&nbsp;</td>
154          <td class="paramname"> <em>w</em></td><td>&nbsp;</td>
155        </tr>
156        <tr>
157          <td></td>
158          <td>)</td>
159          <td></td><td></td><td width="100%"><code> [virtual]</code></td>
160        </tr>
161      </table>
162</div>
163<div class="memdoc">
164
165<p>
166Perfroms a rank-1 update by outer product of vectors: $V = V + w v v'$. <dl compact><dt><b>Parameters:</b></dt><dd>
167  <table border="0" cellspacing="2" cellpadding="0">
168    <tr><td valign="top"></td><td valign="top"><em>v</em>&nbsp;</td><td>Vector forming the outer product to be added </td></tr>
169    <tr><td valign="top"></td><td valign="top"><em>w</em>&nbsp;</td><td>weight of updating; can be negative</td></tr>
170  </table>
171</dl>
172BLAS-2b operation.
173<p>Implements <a class="el" href="classsqmat.html#b223484796661f2dadb5607a86ce0581">sqmat</a>.</p>
174
175</div>
176</div><p>
[32]177<a class="anchor" name="5530d2756b5d991de755e6121c9a452e"></a><!-- doxytag: member="fsqmat::mult_sym" ref="5530d2756b5d991de755e6121c9a452e" args="(const mat &amp;C)" -->
[22]178<div class="memitem">
179<div class="memproto">
180      <table class="memname">
181        <tr>
182          <td class="memname">void fsqmat::mult_sym           </td>
183          <td>(</td>
184          <td class="paramtype">const mat &amp;&nbsp;</td>
[32]185          <td class="paramname"> <em>C</em>          </td>
186          <td>&nbsp;)&nbsp;</td>
187          <td width="100%"><code> [virtual]</code></td>
[22]188        </tr>
[32]189      </table>
190</div>
191<div class="memdoc">
192
193<p>
194Inplace symmetric multiplication by a SQUARE matrix $C$, i.e. $V = C*V*C'$.
195<p>
196<dl compact><dt><b>Parameters:</b></dt><dd>
197  <table border="0" cellspacing="2" cellpadding="0">
198    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>multiplying matrix, </td></tr>
199  </table>
200</dl>
201
202<p>Implements <a class="el" href="classsqmat.html#60fbbfa9e483b8187c135f787ee53afa">sqmat</a>.</p>
203
204</div>
205</div><p>
206<a class="anchor" name="92052a8adc2054b63e42d1373d145c89"></a><!-- doxytag: member="fsqmat::mult_sym_t" ref="92052a8adc2054b63e42d1373d145c89" args="(const mat &amp;C)" -->
207<div class="memitem">
208<div class="memproto">
209      <table class="memname">
[22]210        <tr>
[32]211          <td class="memname">void fsqmat::mult_sym_t           </td>
212          <td>(</td>
213          <td class="paramtype">const mat &amp;&nbsp;</td>
214          <td class="paramname"> <em>C</em>          </td>
215          <td>&nbsp;)&nbsp;</td>
216          <td width="100%"><code> [virtual]</code></td>
[22]217        </tr>
218      </table>
219</div>
220<div class="memdoc">
221
222<p>
[32]223Inplace symmetric multiplication by a SQUARE transpose of matrix $C$, i.e. $V = C'*V*C$.
[22]224<p>
225<dl compact><dt><b>Parameters:</b></dt><dd>
226  <table border="0" cellspacing="2" cellpadding="0">
227    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>multiplying matrix, </td></tr>
228  </table>
229</dl>
230
[32]231<p>Implements <a class="el" href="classsqmat.html#6909e906da17725b1b80f3cae7cf3325">sqmat</a>.</p>
[22]232
233</div>
234</div><p>
[28]235<a class="anchor" name="9fa853e1ca28f2a1a1c43377e798ecb1"></a><!-- doxytag: member="fsqmat::inv" ref="9fa853e1ca28f2a1a1c43377e798ecb1" args="(fsqmat &amp;Inv)" -->
[22]236<div class="memitem">
237<div class="memproto">
238      <table class="memname">
239        <tr>
[28]240          <td class="memname">void fsqmat::inv           </td>
[22]241          <td>(</td>
[28]242          <td class="paramtype"><a class="el" href="classfsqmat.html">fsqmat</a> &amp;&nbsp;</td>
[22]243          <td class="paramname"> <em>Inv</em>          </td>
244          <td>&nbsp;)&nbsp;</td>
245          <td width="100%"><code> [virtual]</code></td>
246        </tr>
247      </table>
248</div>
249<div class="memdoc">
250
251<p>
252Matrix inversion preserving the chosen form.
253<p>
254<dl compact><dt><b>Parameters:</b></dt><dd>
255  <table border="0" cellspacing="2" cellpadding="0">
256    <tr><td valign="top"></td><td valign="top"><em>Inv</em>&nbsp;</td><td>a space where the inverse is stored. </td></tr>
257  </table>
258</dl>
259
260</div>
261</div><p>
[33]262<a class="anchor" name="842a774077ee34ac3c36d180ab33e103"></a><!-- doxytag: member="fsqmat::sqrt_mult" ref="842a774077ee34ac3c36d180ab33e103" args="(const vec &amp;v) const " -->
[22]263<div class="memitem">
264<div class="memproto">
265      <table class="memname">
266        <tr>
267          <td class="memname">vec fsqmat::sqrt_mult           </td>
268          <td>(</td>
[32]269          <td class="paramtype">const vec &amp;&nbsp;</td>
[22]270          <td class="paramname"> <em>v</em>          </td>
271          <td>&nbsp;)&nbsp;</td>
[33]272          <td width="100%"> const<code> [inline, virtual]</code></td>
[22]273        </tr>
274      </table>
275</div>
276<div class="memdoc">
277
278<p>
279Multiplies square root of $V$ by vector $x$.
280<p>
281Used e.g. in generating normal samples.
[33]282<p>Implements <a class="el" href="classsqmat.html#6b79438b5d7544a9c8e110a145355d8f">sqmat</a>.</p>
[22]283
284</div>
285</div><p>
[28]286<hr>The documentation for this class was generated from the following files:<ul>
[33]287<li>work/mixpp/bdm/math/<a class="el" href="libDC_8h-source.html">libDC.h</a><li>work/mixpp/bdm/math/libDC.cpp</ul>
[37]288<hr size="1"><address style="text-align: right;"><small>Generated on Wed Mar 12 16:15:50 2008 for mixpp by&nbsp;
[8]289<a href="http://www.doxygen.org/index.html">
290<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.3 </small></address>
291</body>
292</html>
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