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28<div class="contents">
29<h1>fsqmat Class Reference<br>
30<small>
31[<a class="el" href="group__math.html">Auxiliary math functions</a>]</small>
32</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. 
33<a href="#_details">More...</a>
34<p>
35<code>#include &lt;<a class="el" href="libDC_8h-source.html">libDC.h</a>&gt;</code>
36<p>
37<div class="dynheader">
38Inheritance diagram for fsqmat:</div>
39<div class="dynsection">
40<p><center><img src="classfsqmat__inherit__graph.png" border="0" usemap="#fsqmat__inherit__map" alt="Inheritance graph"></center>
41<map name="fsqmat__inherit__map">
42<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>
43<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div>
44<div class="dynheader">
45Collaboration diagram for fsqmat:</div>
46<div class="dynsection">
47<p><center><img src="classfsqmat__coll__graph.png" border="0" usemap="#fsqmat__coll__map" alt="Collaboration graph"></center>
48<map name="fsqmat__coll__map">
49<area shape="rect" href="classsqmat.html" title="Virtual class for representation of double symmetric matrices in square&#45;root form..." alt="" coords="8,7,64,31"></map>
50<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div>
51
52<p>
53<a href="classfsqmat-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0">
54<tr><td></td></tr>
55<tr><td colspan="2"><br><h2>Public Member Functions</h2></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#b36530e155667fe9f1bd58394e50c65a">opupdt</a> (const vec &amp;v, double w)</td></tr>
57
58<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f54fc955e8e3b43d15afa92124bc24b3"></a><!-- doxytag: member="fsqmat::to_mat" ref="f54fc955e8e3b43d15afa92124bc24b3" args="() const " -->
59mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#f54fc955e8e3b43d15afa92124bc24b3">to_mat</a> () const </td></tr>
60
61<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Conversion to full matrix. <br></td></tr>
62<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>
63
64<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>
65<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>
66
67<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>
68<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 " -->
69void&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>
70
71<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>
72<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 " -->
73void&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>
74
75<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>
76<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="cfa4c359483d2322f32d1d50050f8ac4"></a><!-- doxytag: member="fsqmat::clear" ref="cfa4c359483d2322f32d1d50050f8ac4" args="()" -->
77void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#cfa4c359483d2322f32d1d50050f8ac4">clear</a> ()</td></tr>
78
79<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Clearing matrix so that it corresponds to zeros. <br></td></tr>
80<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="79e3f73e0ccd663c7f7e08083d272940"></a><!-- doxytag: member="fsqmat::fsqmat" ref="79e3f73e0ccd663c7f7e08083d272940" args="()" -->
81&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#79e3f73e0ccd663c7f7e08083d272940">fsqmat</a> ()</td></tr>
82
83<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default initialization. <br></td></tr>
84<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)" -->
85&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#40eae99305e7c7240fa95cfec125b06f">fsqmat</a> (const int dim0)</td></tr>
86
87<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default initialization with proper size. <br></td></tr>
88<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)" -->
89&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>
90
91<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructor. <br></td></tr>
92<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)" -->
93&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>
94
95<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructor. <br></td></tr>
96<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)" -->
97&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#c01f3e9bb590f2a2921369d672f3ce1e">fsqmat</a> (const vec &amp;d)</td></tr>
98
99<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructor. <br></td></tr>
100<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="2a8f104e4befbc2aa90d8b11edfedb2e"></a><!-- doxytag: member="fsqmat::~fsqmat" ref="2a8f104e4befbc2aa90d8b11edfedb2e" args="()" -->
101virtual&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#2a8f104e4befbc2aa90d8b11edfedb2e">~fsqmat</a> ()</td></tr>
102
103<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Destructor for future use;. <br></td></tr>
104<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>
105
106<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Matrix inversion preserving the chosen form.  <a href="#9fa853e1ca28f2a1a1c43377e798ecb1"></a><br></td></tr>
107<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="eb0d1358f536e4453b5f99d0418ca1e5"></a><!-- doxytag: member="fsqmat::logdet" ref="eb0d1358f536e4453b5f99d0418ca1e5" args="() const " -->
108double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#eb0d1358f536e4453b5f99d0418ca1e5">logdet</a> () const </td></tr>
109
110<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Logarithm of a determinant. <br></td></tr>
111<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 " -->
112double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#a6c91b0389e73404324b2314b08d6e87">qform</a> (const vec &amp;v) const </td></tr>
113
114<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>
115<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 " -->
116double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#58075da64ddadd4df40654c35b928c6f">invqform</a> (const vec &amp;v) const </td></tr>
117
118<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>
119<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>
120
121<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>
122<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)" -->
123void&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>
124
125<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Add another matrix in fsq form with weight w. <br></td></tr>
126<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)" -->
127void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#922f8190c13987cbcdb33ec2bf5cf105">setD</a> (const vec &amp;nD)</td></tr>
128
129<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Access functions. <br></td></tr>
130<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="bcf837b2956745e8986044f5600dbd6e"></a><!-- doxytag: member="fsqmat::getD" ref="bcf837b2956745e8986044f5600dbd6e" args="()" -->
131vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#bcf837b2956745e8986044f5600dbd6e">getD</a> ()</td></tr>
132
133<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Access functions. <br></td></tr>
134<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)" -->
135void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#03a8f49eb4d38a054ecc522be59cd2ad">setD</a> (const vec &amp;nD, int i)</td></tr>
136
137<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Access functions. <br></td></tr>
138<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)" -->
139<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>
140
141<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>
142<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)" -->
143<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>
144
145<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>
146<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="af800e7b2146da5e60897255dde80059"></a><!-- doxytag: member="fsqmat::operator*=" ref="af800e7b2146da5e60897255dde80059" args="(double x)" -->
147<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>
148
149<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">multiply by a scalar <br></td></tr>
150<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ecc2e2540f95a04f4449842588170f5b"></a><!-- doxytag: member="fsqmat::cols" ref="ecc2e2540f95a04f4449842588170f5b" args="() const " -->
151int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#ecc2e2540f95a04f4449842588170f5b">cols</a> () const </td></tr>
152
153<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>
154<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="071e80ced9cc3b8cbb360fa7462eb646"></a><!-- doxytag: member="fsqmat::rows" ref="071e80ced9cc3b8cbb360fa7462eb646" args="() const " -->
155int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#071e80ced9cc3b8cbb360fa7462eb646">rows</a> () const </td></tr>
156
157<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>
158<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr>
159<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a7a1fcb9aae19d1e4daddfc9c22ce453"></a><!-- doxytag: member="fsqmat::M" ref="a7a1fcb9aae19d1e4daddfc9c22ce453" args="" -->
160mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classfsqmat.html#a7a1fcb9aae19d1e4daddfc9c22ce453">M</a></td></tr>
161
162<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Full matrix on which the operations are performed. <br></td></tr>
163<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0abed904bdc0882373ba9adba919689d"></a><!-- doxytag: member="fsqmat::dim" ref="0abed904bdc0882373ba9adba919689d" args="" -->
164int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#0abed904bdc0882373ba9adba919689d">dim</a></td></tr>
165
166<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">dimension of the square matrix <br></td></tr>
167<tr><td colspan="2"><br><h2>Friends</h2></td></tr>
168<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)" -->
169std::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>
170
171<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">print full matrix <br></td></tr>
172</table>
173<hr><a name="_details"></a><h2>Detailed Description</h2>
174Fake <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.
175<p>
176This 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>
177<a class="anchor" name="b36530e155667fe9f1bd58394e50c65a"></a><!-- doxytag: member="fsqmat::opupdt" ref="b36530e155667fe9f1bd58394e50c65a" args="(const vec &amp;v, double w)" -->
178<div class="memitem">
179<div class="memproto">
180      <table class="memname">
181        <tr>
182          <td class="memname">void fsqmat::opupdt           </td>
183          <td>(</td>
184          <td class="paramtype">const vec &amp;&nbsp;</td>
185          <td class="paramname"> <em>v</em>, </td>
186        </tr>
187        <tr>
188          <td class="paramkey"></td>
189          <td></td>
190          <td class="paramtype">double&nbsp;</td>
191          <td class="paramname"> <em>w</em></td><td>&nbsp;</td>
192        </tr>
193        <tr>
194          <td></td>
195          <td>)</td>
196          <td></td><td></td><td><code> [virtual]</code></td>
197        </tr>
198      </table>
199</div>
200<div class="memdoc">
201
202<p>
203Perfroms 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>
204  <table border="0" cellspacing="2" cellpadding="0">
205    <tr><td valign="top"></td><td valign="top"><em>v</em>&nbsp;</td><td>Vector forming the outer product to be added </td></tr>
206    <tr><td valign="top"></td><td valign="top"><em>w</em>&nbsp;</td><td>weight of updating; can be negative</td></tr>
207  </table>
208</dl>
209BLAS-2b operation.
210<p>Implements <a class="el" href="classsqmat.html#b223484796661f2dadb5607a86ce0581">sqmat</a>.</p>
211
212<p>References <a class="el" href="libDC_8h-source.html#l00120">M</a>.</p>
213
214</div>
215</div><p>
216<a class="anchor" name="5530d2756b5d991de755e6121c9a452e"></a><!-- doxytag: member="fsqmat::mult_sym" ref="5530d2756b5d991de755e6121c9a452e" args="(const mat &amp;C)" -->
217<div class="memitem">
218<div class="memproto">
219      <table class="memname">
220        <tr>
221          <td class="memname">void fsqmat::mult_sym           </td>
222          <td>(</td>
223          <td class="paramtype">const mat &amp;&nbsp;</td>
224          <td class="paramname"> <em>C</em>          </td>
225          <td>&nbsp;)&nbsp;</td>
226          <td><code> [virtual]</code></td>
227        </tr>
228      </table>
229</div>
230<div class="memdoc">
231
232<p>
233Inplace 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">.
234<p>
235<dl compact><dt><b>Parameters:</b></dt><dd>
236  <table border="0" cellspacing="2" cellpadding="0">
237    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>multiplying matrix, </td></tr>
238  </table>
239</dl>
240
241<p>Implements <a class="el" href="classsqmat.html#60fbbfa9e483b8187c135f787ee53afa">sqmat</a>.</p>
242
243<p>References <a class="el" href="libDC_8h-source.html#l00120">M</a>.</p>
244
245<p>Referenced by <a class="el" href="libKF_8h-source.html#l00368">bdm::EKF&lt; sq_T &gt;::bayes()</a>.</p>
246
247</div>
248</div><p>
249<a class="anchor" name="92052a8adc2054b63e42d1373d145c89"></a><!-- doxytag: member="fsqmat::mult_sym_t" ref="92052a8adc2054b63e42d1373d145c89" args="(const mat &amp;C)" -->
250<div class="memitem">
251<div class="memproto">
252      <table class="memname">
253        <tr>
254          <td class="memname">void fsqmat::mult_sym_t           </td>
255          <td>(</td>
256          <td class="paramtype">const mat &amp;&nbsp;</td>
257          <td class="paramname"> <em>C</em>          </td>
258          <td>&nbsp;)&nbsp;</td>
259          <td><code> [virtual]</code></td>
260        </tr>
261      </table>
262</div>
263<div class="memdoc">
264
265<p>
266Inplace 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">.
267<p>
268<dl compact><dt><b>Parameters:</b></dt><dd>
269  <table border="0" cellspacing="2" cellpadding="0">
270    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>multiplying matrix, </td></tr>
271  </table>
272</dl>
273
274<p>Implements <a class="el" href="classsqmat.html#6909e906da17725b1b80f3cae7cf3325">sqmat</a>.</p>
275
276<p>References <a class="el" href="libDC_8h-source.html#l00120">M</a>.</p>
277
278</div>
279</div><p>
280<a class="anchor" name="9fa853e1ca28f2a1a1c43377e798ecb1"></a><!-- doxytag: member="fsqmat::inv" ref="9fa853e1ca28f2a1a1c43377e798ecb1" args="(fsqmat &amp;Inv)" -->
281<div class="memitem">
282<div class="memproto">
283      <table class="memname">
284        <tr>
285          <td class="memname">void fsqmat::inv           </td>
286          <td>(</td>
287          <td class="paramtype"><a class="el" href="classfsqmat.html">fsqmat</a> &amp;&nbsp;</td>
288          <td class="paramname"> <em>Inv</em>          </td>
289          <td>&nbsp;)&nbsp;</td>
290          <td><code> [virtual]</code></td>
291        </tr>
292      </table>
293</div>
294<div class="memdoc">
295
296<p>
297Matrix inversion preserving the chosen form.
298<p>
299<dl compact><dt><b>Parameters:</b></dt><dd>
300  <table border="0" cellspacing="2" cellpadding="0">
301    <tr><td valign="top"></td><td valign="top"><em>Inv</em>&nbsp;</td><td>a space where the inverse is stored. </td></tr>
302  </table>
303</dl>
304
305<p>References <a class="el" href="libDC_8h-source.html#l00120">M</a>.</p>
306
307<p>Referenced by <a class="el" href="libKF_8h-source.html#l00368">bdm::EKF&lt; sq_T &gt;::bayes()</a>, and <a class="el" href="libEF_8cpp-source.html#l00021">bdm::egiw::evallog_nn()</a>.</p>
308
309</div>
310</div><p>
311<a class="anchor" name="842a774077ee34ac3c36d180ab33e103"></a><!-- doxytag: member="fsqmat::sqrt_mult" ref="842a774077ee34ac3c36d180ab33e103" args="(const vec &amp;v) const " -->
312<div class="memitem">
313<div class="memproto">
314      <table class="memname">
315        <tr>
316          <td class="memname">vec fsqmat::sqrt_mult           </td>
317          <td>(</td>
318          <td class="paramtype">const vec &amp;&nbsp;</td>
319          <td class="paramname"> <em>v</em>          </td>
320          <td>&nbsp;)&nbsp;</td>
321          <td> const<code> [inline, virtual]</code></td>
322        </tr>
323      </table>
324</div>
325<div class="memdoc">
326
327<p>
328Multiplies square root of <img class="formulaInl" alt="$V$" src="form_27.png"> by vector <img class="formulaInl" alt="$x$" src="form_28.png">.
329<p>
330Used e.g. in generating normal samples.
331<p>Implements <a class="el" href="classsqmat.html#6b79438b5d7544a9c8e110a145355d8f">sqmat</a>.</p>
332
333<p>References <a class="el" href="libDC_8h-source.html#l00120">M</a>.</p>
334
335</div>
336</div><p>
337<hr>The documentation for this class was generated from the following files:<ul>
338<li><a class="el" href="libDC_8h-source.html">libDC.h</a><li>libDC.cpp</ul>
339</div>
340<hr size="1"><address style="text-align: right;"><small>Generated on Fri Feb 6 15:29:49 2009 for mixpp by&nbsp;
341<a href="http://www.doxygen.org/index.html">
342<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address>
343</body>
344</html>
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