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3<title>mixpp: sqmat Class Reference</title>
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61      <li><a href="classes.html"><span>Alphabetical&nbsp;List</span></a></li>
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63      <li><a href="hierarchy.html"><span>Class&nbsp;Hierarchy</span></a></li>
64      <li><a href="functions.html"><span>Class&nbsp;Members</span></a></li>
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68<div class="contents">
69<h1>sqmat Class Reference<br>
70<small>
71[<a class="el" href="group__math.html">Auxiliary math functions</a>]</small>
72</h1><!-- doxytag: class="sqmat" --><code>#include &lt;<a class="el" href="libDC_8h-source.html">libDC.h</a>&gt;</code>
73<p>
74<div class="dynheader">
75Inheritance diagram for sqmat:</div>
76<div class="dynsection">
77
78<p><center><img src="classsqmat.png" usemap="#sqmat_map" border="0" alt=""></center>
79<map name="sqmat_map">
80<area href="classchmat.html" alt="chmat" shape="rect" coords="0,56,47,80">
81<area href="classfsqmat.html" alt="fsqmat" shape="rect" coords="57,56,104,80">
82<area href="classldmat.html" alt="ldmat" shape="rect" coords="114,56,161,80">
83</map>
84</div>
85
86<p>
87<a href="classsqmat-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2>
88Virtual class for representation of double symmetric matrices in square-root form.
89<p>
90All operations defined on this class should be optimized for the chosen decomposition. <table border="0" cellpadding="0" cellspacing="0">
91<tr><td></td></tr>
92<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
93<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#b223484796661f2dadb5607a86ce0581">opupdt</a> (const vec &amp;v, double w)=0</td></tr>
94
95<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="cd0ea3701e4493f353499755fba6e07f"></a><!-- doxytag: member="sqmat::to_mat" ref="cd0ea3701e4493f353499755fba6e07f" args="() const =0" -->
96virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#cd0ea3701e4493f353499755fba6e07f">to_mat</a> () const =0</td></tr>
97
98<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Conversion to full matrix. <br></td></tr>
99<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#60fbbfa9e483b8187c135f787ee53afa">mult_sym</a> (const mat &amp;C)=0</td></tr>
100
101<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="#60fbbfa9e483b8187c135f787ee53afa"></a><br></td></tr>
102<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#6909e906da17725b1b80f3cae7cf3325">mult_sym_t</a> (const mat &amp;C)=0</td></tr>
103
104<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="#6909e906da17725b1b80f3cae7cf3325"></a><br></td></tr>
105<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0a772b396750eeeed85d69fa72478b45"></a><!-- doxytag: member="sqmat::logdet" ref="0a772b396750eeeed85d69fa72478b45" args="() const =0" -->
106virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#0a772b396750eeeed85d69fa72478b45">logdet</a> () const =0</td></tr>
107
108<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Logarithm of a determinant. <br></td></tr>
109<tr><td class="memItemLeft" nowrap align="right" valign="top">virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#6b79438b5d7544a9c8e110a145355d8f">sqrt_mult</a> (const vec &amp;v) const =0</td></tr>
110
111<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="#6b79438b5d7544a9c8e110a145355d8f"></a><br></td></tr>
112<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="fc026312eb02ba09f85d5aacd6f05ab3"></a><!-- doxytag: member="sqmat::qform" ref="fc026312eb02ba09f85d5aacd6f05ab3" args="(const vec &amp;v) const =0" -->
113virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#fc026312eb02ba09f85d5aacd6f05ab3">qform</a> (const vec &amp;v) const =0</td></tr>
114
115<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>
116<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="6230e8e8a9341866aaa0ce008691aac2"></a><!-- doxytag: member="sqmat::invqform" ref="6230e8e8a9341866aaa0ce008691aac2" args="(const vec &amp;v) const =0" -->
117virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#6230e8e8a9341866aaa0ce008691aac2">invqform</a> (const vec &amp;v) const =0</td></tr>
118
119<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>
120<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="6fca246f9eabbdeb8cac03030e826b5e"></a><!-- doxytag: member="sqmat::clear" ref="6fca246f9eabbdeb8cac03030e826b5e" args="()=0" -->
121virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#6fca246f9eabbdeb8cac03030e826b5e">clear</a> ()=0</td></tr>
122
123<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Clearing matrix so that it corresponds to zeros. <br></td></tr>
124<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ecc2e2540f95a04f4449842588170f5b"></a><!-- doxytag: member="sqmat::cols" ref="ecc2e2540f95a04f4449842588170f5b" args="() const " -->
125int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#ecc2e2540f95a04f4449842588170f5b">cols</a> () const </td></tr>
126
127<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>
128<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="071e80ced9cc3b8cbb360fa7462eb646"></a><!-- doxytag: member="sqmat::rows" ref="071e80ced9cc3b8cbb360fa7462eb646" args="() const " -->
129int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#071e80ced9cc3b8cbb360fa7462eb646">rows</a> () const </td></tr>
130
131<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>
132<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0481f2067bb32aaea7e6d4f27e46b656"></a><!-- doxytag: member="sqmat::~sqmat" ref="0481f2067bb32aaea7e6d4f27e46b656" args="()" -->
133virtual&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#0481f2067bb32aaea7e6d4f27e46b656">~sqmat</a> ()</td></tr>
134
135<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Destructor for future use;. <br></td></tr>
136<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="4268750c040c716b2c05037f725078a2"></a><!-- doxytag: member="sqmat::sqmat" ref="4268750c040c716b2c05037f725078a2" args="(const int dim0)" -->
137&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#4268750c040c716b2c05037f725078a2">sqmat</a> (const int dim0)</td></tr>
138
139<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default constructor. <br></td></tr>
140<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5493a4a11a2b3c41de9cdd8ce305bb44"></a><!-- doxytag: member="sqmat::sqmat" ref="5493a4a11a2b3c41de9cdd8ce305bb44" args="()" -->
141&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#5493a4a11a2b3c41de9cdd8ce305bb44">sqmat</a> ()</td></tr>
142
143<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default constructor. <br></td></tr>
144<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr>
145<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0abed904bdc0882373ba9adba919689d"></a><!-- doxytag: member="sqmat::dim" ref="0abed904bdc0882373ba9adba919689d" args="" -->
146int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#0abed904bdc0882373ba9adba919689d">dim</a></td></tr>
147
148<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">dimension of the square matrix <br></td></tr>
149</table>
150<hr><h2>Member Function Documentation</h2>
151<a class="anchor" name="b223484796661f2dadb5607a86ce0581"></a><!-- doxytag: member="sqmat::opupdt" ref="b223484796661f2dadb5607a86ce0581" args="(const vec &amp;v, double w)=0" -->
152<div class="memitem">
153<div class="memproto">
154      <table class="memname">
155        <tr>
156          <td class="memname">virtual void sqmat::opupdt           </td>
157          <td>(</td>
158          <td class="paramtype">const vec &amp;&nbsp;</td>
159          <td class="paramname"> <em>v</em>, </td>
160        </tr>
161        <tr>
162          <td class="paramkey"></td>
163          <td></td>
164          <td class="paramtype">double&nbsp;</td>
165          <td class="paramname"> <em>w</em></td><td>&nbsp;</td>
166        </tr>
167        <tr>
168          <td></td>
169          <td>)</td>
170          <td></td><td></td><td><code> [pure virtual]</code></td>
171        </tr>
172      </table>
173</div>
174<div class="memdoc">
175
176<p>
177Perfroms 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>
178  <table border="0" cellspacing="2" cellpadding="0">
179    <tr><td valign="top"></td><td valign="top"><em>v</em>&nbsp;</td><td>Vector forming the outer product to be added </td></tr>
180    <tr><td valign="top"></td><td valign="top"><em>w</em>&nbsp;</td><td>weight of updating; can be negative</td></tr>
181  </table>
182</dl>
183BLAS-2b operation.
184<p>Implemented in <a class="el" href="classchmat.html#bbc2d98d7455b1f38828907d442836bf">chmat</a>, <a class="el" href="classfsqmat.html#b36530e155667fe9f1bd58394e50c65a">fsqmat</a>, and <a class="el" href="classldmat.html#0f0f6e083e6d947cf58097ffce3ccd1a">ldmat</a>.</p>
185
186</div>
187</div><p>
188<a class="anchor" name="60fbbfa9e483b8187c135f787ee53afa"></a><!-- doxytag: member="sqmat::mult_sym" ref="60fbbfa9e483b8187c135f787ee53afa" args="(const mat &amp;C)=0" -->
189<div class="memitem">
190<div class="memproto">
191      <table class="memname">
192        <tr>
193          <td class="memname">virtual void sqmat::mult_sym           </td>
194          <td>(</td>
195          <td class="paramtype">const mat &amp;&nbsp;</td>
196          <td class="paramname"> <em>C</em>          </td>
197          <td>&nbsp;)&nbsp;</td>
198          <td><code> [pure virtual]</code></td>
199        </tr>
200      </table>
201</div>
202<div class="memdoc">
203
204<p>
205Inplace 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">.
206<p>
207<dl compact><dt><b>Parameters:</b></dt><dd>
208  <table border="0" cellspacing="2" cellpadding="0">
209    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>multiplying matrix, </td></tr>
210  </table>
211</dl>
212
213<p>Implemented in <a class="el" href="classchmat.html#66f509f92b0ccf020e2a2a32566e0777">chmat</a>, <a class="el" href="classfsqmat.html#5530d2756b5d991de755e6121c9a452e">fsqmat</a>, and <a class="el" href="classldmat.html#e967b9425007f0cb6cd59b845f9756d8">ldmat</a>.</p>
214
215</div>
216</div><p>
217<a class="anchor" name="6909e906da17725b1b80f3cae7cf3325"></a><!-- doxytag: member="sqmat::mult_sym_t" ref="6909e906da17725b1b80f3cae7cf3325" args="(const mat &amp;C)=0" -->
218<div class="memitem">
219<div class="memproto">
220      <table class="memname">
221        <tr>
222          <td class="memname">virtual void sqmat::mult_sym_t           </td>
223          <td>(</td>
224          <td class="paramtype">const mat &amp;&nbsp;</td>
225          <td class="paramname"> <em>C</em>          </td>
226          <td>&nbsp;)&nbsp;</td>
227          <td><code> [pure virtual]</code></td>
228        </tr>
229      </table>
230</div>
231<div class="memdoc">
232
233<p>
234Inplace 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">.
235<p>
236<dl compact><dt><b>Parameters:</b></dt><dd>
237  <table border="0" cellspacing="2" cellpadding="0">
238    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>multiplying matrix, </td></tr>
239  </table>
240</dl>
241
242<p>Implemented in <a class="el" href="classchmat.html#07f50d1332b901eee962e8b1913102f7">chmat</a>, <a class="el" href="classfsqmat.html#92052a8adc2054b63e42d1373d145c89">fsqmat</a>, and <a class="el" href="classldmat.html#4fd155f38eb6dd5af4bdf9c98a7999a9">ldmat</a>.</p>
243
244</div>
245</div><p>
246<a class="anchor" name="6b79438b5d7544a9c8e110a145355d8f"></a><!-- doxytag: member="sqmat::sqrt_mult" ref="6b79438b5d7544a9c8e110a145355d8f" args="(const vec &amp;v) const =0" -->
247<div class="memitem">
248<div class="memproto">
249      <table class="memname">
250        <tr>
251          <td class="memname">virtual vec sqmat::sqrt_mult           </td>
252          <td>(</td>
253          <td class="paramtype">const vec &amp;&nbsp;</td>
254          <td class="paramname"> <em>v</em>          </td>
255          <td>&nbsp;)&nbsp;</td>
256          <td> const<code> [pure virtual]</code></td>
257        </tr>
258      </table>
259</div>
260<div class="memdoc">
261
262<p>
263Multiplies square root of <img class="formulaInl" alt="$V$" src="form_27.png"> by vector <img class="formulaInl" alt="$x$" src="form_28.png">.
264<p>
265Used e.g. in generating normal samples.
266<p>Implemented in <a class="el" href="classchmat.html#b22aa239dbaca33e3fb93b4f674d7051">chmat</a>, <a class="el" href="classfsqmat.html#842a774077ee34ac3c36d180ab33e103">fsqmat</a>, and <a class="el" href="classldmat.html#fc380626ced6f9244fb58c5f0231174d">ldmat</a>.</p>
267
268</div>
269</div><p>
270<hr>The documentation for this class was generated from the following file:<ul>
271<li><a class="el" href="libDC_8h-source.html">libDC.h</a></ul>
272</div>
273<hr size="1"><address style="text-align: right;"><small>Generated on Wed Feb 18 17:38:54 2009 for mixpp by&nbsp;
274<a href="http://www.doxygen.org/index.html">
275<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address>
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