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[219]69<h1>fsqmat Class Reference<br>
70<small>
71[<a class="el" href="group__math.html">Auxiliary math functions</a>]</small>
[270]72</h1><!-- doxytag: class="fsqmat" --><!-- doxytag: inherits="sqmat" --><code>#include &lt;<a class="el" href="libDC_8h-source.html">libDC.h</a>&gt;</code>
[8]73<p>
74<div class="dynheader">
75Inheritance diagram for fsqmat:</div>
76<div class="dynsection">
77
[271]78<p><center><img src="classfsqmat.png" usemap="#fsqmat_map" border="0" alt=""></center>
79<map name="fsqmat_map">
80<area href="classsqmat.html" alt="sqmat" shape="rect" coords="0,0,47,24">
81</map>
82</div>
83
[8]84<p>
[270]85<a href="classfsqmat-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2>
86Fake <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.
87<p>
88This class can be used to compare performance of algorithms using decomposed matrices with perormance of the same algorithms using full matrices; <table border="0" cellpadding="0" cellspacing="0">
[8]89<tr><td></td></tr>
[22]90<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
91<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>
92
[171]93<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f54fc955e8e3b43d15afa92124bc24b3"></a><!-- doxytag: member="fsqmat::to_mat" ref="f54fc955e8e3b43d15afa92124bc24b3" args="() const " -->
94mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#f54fc955e8e3b43d15afa92124bc24b3">to_mat</a> () const </td></tr>
[22]95
96<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Conversion to full matrix. <br></td></tr>
[32]97<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]98
[79]99<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>
[32]100<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]101
[79]102<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>
[33]103<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 " -->
104void&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]105
[79]106<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>
[33]107<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 " -->
108void&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]109
[79]110<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>
[22]111<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="cfa4c359483d2322f32d1d50050f8ac4"></a><!-- doxytag: member="fsqmat::clear" ref="cfa4c359483d2322f32d1d50050f8ac4" args="()" -->
112void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#cfa4c359483d2322f32d1d50050f8ac4">clear</a> ()</td></tr>
113
114<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Clearing matrix so that it corresponds to zeros. <br></td></tr>
[32]115<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="79e3f73e0ccd663c7f7e08083d272940"></a><!-- doxytag: member="fsqmat::fsqmat" ref="79e3f73e0ccd663c7f7e08083d272940" args="()" -->
116&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#79e3f73e0ccd663c7f7e08083d272940">fsqmat</a> ()</td></tr>
117
118<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default initialization. <br></td></tr>
119<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)" -->
120&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#40eae99305e7c7240fa95cfec125b06f">fsqmat</a> (const int dim0)</td></tr>
121
122<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default initialization with proper size. <br></td></tr>
[22]123<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]124&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]125
126<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructor. <br></td></tr>
[210]127<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="9e19a5e26083f4a493b6fad38cc40fab"></a><!-- doxytag: member="fsqmat::fsqmat" ref="9e19a5e26083f4a493b6fad38cc40fab" args="(const fsqmat &amp;M, const ivec &amp;perm)" -->
128&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#9e19a5e26083f4a493b6fad38cc40fab">fsqmat</a> (const <a class="el" href="classfsqmat.html">fsqmat</a> &amp;<a class="el" href="classfsqmat.html#a7a1fcb9aae19d1e4daddfc9c22ce453">M</a>, const ivec &amp;perm)</td></tr>
129
130<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructor. <br></td></tr>
[79]131<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)" -->
132&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#c01f3e9bb590f2a2921369d672f3ce1e">fsqmat</a> (const vec &amp;d)</td></tr>
133
134<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructor. <br></td></tr>
[32]135<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="2a8f104e4befbc2aa90d8b11edfedb2e"></a><!-- doxytag: member="fsqmat::~fsqmat" ref="2a8f104e4befbc2aa90d8b11edfedb2e" args="()" -->
136virtual&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#2a8f104e4befbc2aa90d8b11edfedb2e">~fsqmat</a> ()</td></tr>
137
138<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Destructor for future use;. <br></td></tr>
[28]139<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]140
[28]141<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Matrix inversion preserving the chosen form.  <a href="#9fa853e1ca28f2a1a1c43377e798ecb1"></a><br></td></tr>
[32]142<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="eb0d1358f536e4453b5f99d0418ca1e5"></a><!-- doxytag: member="fsqmat::logdet" ref="eb0d1358f536e4453b5f99d0418ca1e5" args="() const " -->
143double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#eb0d1358f536e4453b5f99d0418ca1e5">logdet</a> () const </td></tr>
[22]144
145<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Logarithm of a determinant. <br></td></tr>
[33]146<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 " -->
147double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#a6c91b0389e73404324b2314b08d6e87">qform</a> (const vec &amp;v) const </td></tr>
[22]148
[79]149<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>
150<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 " -->
151double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#58075da64ddadd4df40654c35b928c6f">invqform</a> (const vec &amp;v) const </td></tr>
152
153<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>
[33]154<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]155
[79]156<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>
[91]157<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a2e0bf7dbbbbe1d3358064c4ad455f1f"></a><!-- doxytag: member="fsqmat::add" ref="a2e0bf7dbbbbe1d3358064c4ad455f1f" args="(const fsqmat &amp;fsq2, double w=1.0)" -->
158void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#a2e0bf7dbbbbe1d3358064c4ad455f1f">add</a> (const <a class="el" href="classfsqmat.html">fsqmat</a> &amp;fsq2, double w=1.0)</td></tr>
159
160<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Add another matrix in fsq form with weight w. <br></td></tr>
[79]161<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)" -->
162void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#922f8190c13987cbcdb33ec2bf5cf105">setD</a> (const vec &amp;nD)</td></tr>
163
164<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Access functions. <br></td></tr>
165<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="bcf837b2956745e8986044f5600dbd6e"></a><!-- doxytag: member="fsqmat::getD" ref="bcf837b2956745e8986044f5600dbd6e" args="()" -->
166vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#bcf837b2956745e8986044f5600dbd6e">getD</a> ()</td></tr>
167
168<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Access functions. <br></td></tr>
169<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)" -->
170void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#03a8f49eb4d38a054ecc522be59cd2ad">setD</a> (const vec &amp;nD, int i)</td></tr>
171
172<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Access functions. <br></td></tr>
[22]173<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]174<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]175
[33]176<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]177<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]178<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]179
[33]180<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>
[91]181<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="af800e7b2146da5e60897255dde80059"></a><!-- doxytag: member="fsqmat::operator*=" ref="af800e7b2146da5e60897255dde80059" args="(double x)" -->
182<a class="el" href="classfsqmat.html">fsqmat</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#af800e7b2146da5e60897255dde80059">operator*=</a> (double x)</td></tr>
[22]183
[33]184<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">multiply by a scalar <br></td></tr>
[28]185<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ecc2e2540f95a04f4449842588170f5b"></a><!-- doxytag: member="fsqmat::cols" ref="ecc2e2540f95a04f4449842588170f5b" args="() const " -->
186int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#ecc2e2540f95a04f4449842588170f5b">cols</a> () const </td></tr>
187
188<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>
189<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="071e80ced9cc3b8cbb360fa7462eb646"></a><!-- doxytag: member="fsqmat::rows" ref="071e80ced9cc3b8cbb360fa7462eb646" args="() const " -->
190int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#071e80ced9cc3b8cbb360fa7462eb646">rows</a> () const </td></tr>
191
192<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]193<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr>
194<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a7a1fcb9aae19d1e4daddfc9c22ce453"></a><!-- doxytag: member="fsqmat::M" ref="a7a1fcb9aae19d1e4daddfc9c22ce453" args="" -->
[33]195mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#a7a1fcb9aae19d1e4daddfc9c22ce453">M</a></td></tr>
[22]196
[33]197<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Full matrix on which the operations are performed. <br></td></tr>
[28]198<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0abed904bdc0882373ba9adba919689d"></a><!-- doxytag: member="fsqmat::dim" ref="0abed904bdc0882373ba9adba919689d" args="" -->
[33]199int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#0abed904bdc0882373ba9adba919689d">dim</a></td></tr>
[28]200
[33]201<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">dimension of the square matrix <br></td></tr>
[32]202<tr><td colspan="2"><br><h2>Friends</h2></td></tr>
203<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]204std::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]205
[33]206<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">print full matrix <br></td></tr>
[8]207</table>
[270]208<hr><h2>Member Function Documentation</h2>
[22]209<a class="anchor" name="b36530e155667fe9f1bd58394e50c65a"></a><!-- doxytag: member="fsqmat::opupdt" ref="b36530e155667fe9f1bd58394e50c65a" args="(const vec &amp;v, double w)" -->
210<div class="memitem">
211<div class="memproto">
212      <table class="memname">
213        <tr>
214          <td class="memname">void fsqmat::opupdt           </td>
215          <td>(</td>
216          <td class="paramtype">const vec &amp;&nbsp;</td>
217          <td class="paramname"> <em>v</em>, </td>
218        </tr>
219        <tr>
220          <td class="paramkey"></td>
221          <td></td>
222          <td class="paramtype">double&nbsp;</td>
223          <td class="paramname"> <em>w</em></td><td>&nbsp;</td>
224        </tr>
225        <tr>
226          <td></td>
227          <td>)</td>
[139]228          <td></td><td></td><td><code> [virtual]</code></td>
[22]229        </tr>
230      </table>
231</div>
232<div class="memdoc">
233
234<p>
[79]235Perfroms 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>
[22]236  <table border="0" cellspacing="2" cellpadding="0">
237    <tr><td valign="top"></td><td valign="top"><em>v</em>&nbsp;</td><td>Vector forming the outer product to be added </td></tr>
238    <tr><td valign="top"></td><td valign="top"><em>w</em>&nbsp;</td><td>weight of updating; can be negative</td></tr>
239  </table>
240</dl>
241BLAS-2b operation.
242<p>Implements <a class="el" href="classsqmat.html#b223484796661f2dadb5607a86ce0581">sqmat</a>.</p>
243
[270]244<p>References <a class="el" href="libDC_8h-source.html#l00122">M</a>.</p>
[91]245
[22]246</div>
247</div><p>
[32]248<a class="anchor" name="5530d2756b5d991de755e6121c9a452e"></a><!-- doxytag: member="fsqmat::mult_sym" ref="5530d2756b5d991de755e6121c9a452e" args="(const mat &amp;C)" -->
[22]249<div class="memitem">
250<div class="memproto">
251      <table class="memname">
252        <tr>
253          <td class="memname">void fsqmat::mult_sym           </td>
254          <td>(</td>
255          <td class="paramtype">const mat &amp;&nbsp;</td>
[32]256          <td class="paramname"> <em>C</em>          </td>
257          <td>&nbsp;)&nbsp;</td>
[139]258          <td><code> [virtual]</code></td>
[22]259        </tr>
[32]260      </table>
261</div>
262<div class="memdoc">
263
264<p>
[79]265Inplace 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">.
[32]266<p>
267<dl compact><dt><b>Parameters:</b></dt><dd>
268  <table border="0" cellspacing="2" cellpadding="0">
269    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>multiplying matrix, </td></tr>
270  </table>
271</dl>
272
273<p>Implements <a class="el" href="classsqmat.html#60fbbfa9e483b8187c135f787ee53afa">sqmat</a>.</p>
274
[270]275<p>References <a class="el" href="libDC_8h-source.html#l00122">M</a>.</p>
[91]276
[271]277<p>Referenced by <a class="el" href="libKF_8h-source.html#l00370">bdm::EKF&lt; sq_T &gt;::bayes()</a>.</p>
[91]278
[32]279</div>
280</div><p>
281<a class="anchor" name="92052a8adc2054b63e42d1373d145c89"></a><!-- doxytag: member="fsqmat::mult_sym_t" ref="92052a8adc2054b63e42d1373d145c89" args="(const mat &amp;C)" -->
282<div class="memitem">
283<div class="memproto">
284      <table class="memname">
[22]285        <tr>
[32]286          <td class="memname">void fsqmat::mult_sym_t           </td>
287          <td>(</td>
288          <td class="paramtype">const mat &amp;&nbsp;</td>
289          <td class="paramname"> <em>C</em>          </td>
290          <td>&nbsp;)&nbsp;</td>
[139]291          <td><code> [virtual]</code></td>
[22]292        </tr>
293      </table>
294</div>
295<div class="memdoc">
296
297<p>
[79]298Inplace 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">.
[22]299<p>
300<dl compact><dt><b>Parameters:</b></dt><dd>
301  <table border="0" cellspacing="2" cellpadding="0">
302    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>multiplying matrix, </td></tr>
303  </table>
304</dl>
305
[32]306<p>Implements <a class="el" href="classsqmat.html#6909e906da17725b1b80f3cae7cf3325">sqmat</a>.</p>
[22]307
[270]308<p>References <a class="el" href="libDC_8h-source.html#l00122">M</a>.</p>
[91]309
[22]310</div>
311</div><p>
[28]312<a class="anchor" name="9fa853e1ca28f2a1a1c43377e798ecb1"></a><!-- doxytag: member="fsqmat::inv" ref="9fa853e1ca28f2a1a1c43377e798ecb1" args="(fsqmat &amp;Inv)" -->
[22]313<div class="memitem">
314<div class="memproto">
315      <table class="memname">
316        <tr>
[28]317          <td class="memname">void fsqmat::inv           </td>
[22]318          <td>(</td>
[28]319          <td class="paramtype"><a class="el" href="classfsqmat.html">fsqmat</a> &amp;&nbsp;</td>
[22]320          <td class="paramname"> <em>Inv</em>          </td>
321          <td>&nbsp;)&nbsp;</td>
[139]322          <td><code> [virtual]</code></td>
[22]323        </tr>
324      </table>
325</div>
326<div class="memdoc">
327
328<p>
329Matrix inversion preserving the chosen form.
330<p>
331<dl compact><dt><b>Parameters:</b></dt><dd>
332  <table border="0" cellspacing="2" cellpadding="0">
333    <tr><td valign="top"></td><td valign="top"><em>Inv</em>&nbsp;</td><td>a space where the inverse is stored. </td></tr>
334  </table>
335</dl>
336
[270]337<p>References <a class="el" href="libDC_8h-source.html#l00122">M</a>.</p>
[91]338
[271]339<p>Referenced by <a class="el" href="libKF_8h-source.html#l00370">bdm::EKF&lt; sq_T &gt;::bayes()</a>, and <a class="el" href="libEF_8cpp-source.html#l00021">bdm::egiw::evallog_nn()</a>.</p>
[91]340
[22]341</div>
342</div><p>
[33]343<a class="anchor" name="842a774077ee34ac3c36d180ab33e103"></a><!-- doxytag: member="fsqmat::sqrt_mult" ref="842a774077ee34ac3c36d180ab33e103" args="(const vec &amp;v) const " -->
[22]344<div class="memitem">
345<div class="memproto">
346      <table class="memname">
347        <tr>
348          <td class="memname">vec fsqmat::sqrt_mult           </td>
349          <td>(</td>
[32]350          <td class="paramtype">const vec &amp;&nbsp;</td>
[22]351          <td class="paramname"> <em>v</em>          </td>
352          <td>&nbsp;)&nbsp;</td>
[139]353          <td> const<code> [inline, virtual]</code></td>
[22]354        </tr>
355      </table>
356</div>
357<div class="memdoc">
358
359<p>
[79]360Multiplies square root of <img class="formulaInl" alt="$V$" src="form_27.png"> by vector <img class="formulaInl" alt="$x$" src="form_28.png">.
[22]361<p>
362Used e.g. in generating normal samples.
[33]363<p>Implements <a class="el" href="classsqmat.html#6b79438b5d7544a9c8e110a145355d8f">sqmat</a>.</p>
[22]364
[270]365<p>References <a class="el" href="libDC_8h-source.html#l00122">M</a>.</p>
[91]366
[22]367</div>
368</div><p>
[28]369<hr>The documentation for this class was generated from the following files:<ul>
[261]370<li><a class="el" href="libDC_8h-source.html">libDC.h</a><li>libDC.cpp</ul>
[91]371</div>
[275]372<hr size="1"><address style="text-align: right;"><small>Generated on Mon Feb 16 10:06:28 2009 for mixpp by&nbsp;
[8]373<a href="http://www.doxygen.org/index.html">
[139]374<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address>
[8]375</body>
376</html>
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