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26<h1>chmat Class Reference</h1><!-- doxytag: class="chmat" --><!-- doxytag: inherits="sqmat" -->Symmetric matrix stored in square root decomposition using upper cholesky. 
27<a href="#_details">More...</a>
28<p>
29<code>#include &lt;<a class="el" href="chmat_8h-source.html">chmat.h</a>&gt;</code>
30<p>
31<div class="dynheader">
32Inheritance diagram for chmat:</div>
33<div class="dynsection">
34<p><center><img src="classchmat__inherit__graph.png" border="0" usemap="#chmat__inherit__map" alt="Inheritance graph"></center>
35<map name="chmat__inherit__map">
36<area shape="rect" href="classsqmat.html" title="Virtual class for representation of double symmetric matrices in square&#45;root form..." alt="" coords="5,7,61,31"></map>
37<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div>
38<div class="dynheader">
39Collaboration diagram for chmat:</div>
40<div class="dynsection">
41<p><center><img src="classchmat__coll__graph.png" border="0" usemap="#chmat__coll__map" alt="Collaboration graph"></center>
42<map name="chmat__coll__map">
43<area shape="rect" href="classsqmat.html" title="Virtual class for representation of double symmetric matrices in square&#45;root form..." alt="" coords="5,7,61,31"></map>
44<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div>
45
46<p>
47<a href="classchmat-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0">
48<tr><td></td></tr>
49<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
50<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#bbc2d98d7455b1f38828907d442836bf">opupdt</a> (const vec &amp;v, double w)</td></tr>
51
52<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a37e2c726e4fc3ad50b26ac2ca6c1452"></a><!-- doxytag: member="chmat::to_mat" ref="a37e2c726e4fc3ad50b26ac2ca6c1452" args="()" -->
53mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#a37e2c726e4fc3ad50b26ac2ca6c1452">to_mat</a> ()</td></tr>
54
55<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Conversion to full matrix. <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="classchmat.html#66f509f92b0ccf020e2a2a32566e0777">mult_sym</a> (const mat &amp;C)</td></tr>
57
58<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="#66f509f92b0ccf020e2a2a32566e0777"></a><br></td></tr>
59<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d558ab63475a2f2ebc0c0e149796dcc6"></a><!-- doxytag: member="chmat::mult_sym" ref="d558ab63475a2f2ebc0c0e149796dcc6" args="(const mat &amp;C, chmat &amp;U) const " -->
60void&nbsp;</td><td class="memItemRight" valign="bottom"><b>mult_sym</b> (const mat &amp;C, <a class="el" href="classchmat.html">chmat</a> &amp;U) const </td></tr>
61
62<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#07f50d1332b901eee962e8b1913102f7">mult_sym_t</a> (const mat &amp;C)</td></tr>
63
64<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="#07f50d1332b901eee962e8b1913102f7"></a><br></td></tr>
65<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="31c3b985214a150b2a6b4be3b0fd40e3"></a><!-- doxytag: member="chmat::mult_sym_t" ref="31c3b985214a150b2a6b4be3b0fd40e3" args="(const mat &amp;C, chmat &amp;U) const " -->
66void&nbsp;</td><td class="memItemRight" valign="bottom"><b>mult_sym_t</b> (const mat &amp;C, <a class="el" href="classchmat.html">chmat</a> &amp;U) const </td></tr>
67
68<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b504ca818203b13e667cb3c503980382"></a><!-- doxytag: member="chmat::logdet" ref="b504ca818203b13e667cb3c503980382" args="() const " -->
69double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#b504ca818203b13e667cb3c503980382">logdet</a> () const </td></tr>
70
71<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Logarithm of a determinant. <br></td></tr>
72<tr><td class="memItemLeft" nowrap align="right" valign="top">vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#b22aa239dbaca33e3fb93b4f674d7051">sqrt_mult</a> (const vec &amp;v) const </td></tr>
73
74<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="#b22aa239dbaca33e3fb93b4f674d7051"></a><br></td></tr>
75<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="6807737c7ffdb7041256b51db7592248"></a><!-- doxytag: member="chmat::qform" ref="6807737c7ffdb7041256b51db7592248" args="(const vec &amp;v) const " -->
76double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#6807737c7ffdb7041256b51db7592248">qform</a> (const vec &amp;v) const </td></tr>
77
78<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>
79<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b49427cff186c62f5df3724e5d2c34b4"></a><!-- doxytag: member="chmat::invqform" ref="b49427cff186c62f5df3724e5d2c34b4" args="(const vec &amp;v) const " -->
80double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#b49427cff186c62f5df3724e5d2c34b4">invqform</a> (const vec &amp;v) const </td></tr>
81
82<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>
83<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d0a995d312ecc11d3b43693f5e224ba9"></a><!-- doxytag: member="chmat::clear" ref="d0a995d312ecc11d3b43693f5e224ba9" args="()" -->
84void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#d0a995d312ecc11d3b43693f5e224ba9">clear</a> ()</td></tr>
85
86<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Clearing matrix so that it corresponds to zeros. <br></td></tr>
87<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f3921e3e5e31337cdbda40a3a5467257"></a><!-- doxytag: member="chmat::add" ref="f3921e3e5e31337cdbda40a3a5467257" args="(const chmat &amp;A2, double w=1.0)" -->
88void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#f3921e3e5e31337cdbda40a3a5467257">add</a> (const <a class="el" href="classchmat.html">chmat</a> &amp;A2, double w=1.0)</td></tr>
89
90<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">add another <a class="el" href="classchmat.html" title="Symmetric matrix stored in square root decomposition using upper cholesky.">chmat</a> <code>A2</code> with weight <code>w</code>. <br></td></tr>
91<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5ce4e21a9012a4e98c1f0ed1ca5669bd"></a><!-- doxytag: member="chmat::inv" ref="5ce4e21a9012a4e98c1f0ed1ca5669bd" args="(chmat &amp;Inv) const " -->
92void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#5ce4e21a9012a4e98c1f0ed1ca5669bd">inv</a> (<a class="el" href="classchmat.html">chmat</a> &amp;Inv) const </td></tr>
93
94<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inversion in the same form, i.e. cholesky. <br></td></tr>
95<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ba62fbf7cb8e065a4f3d24457824e89b"></a><!-- doxytag: member="chmat::~chmat" ref="ba62fbf7cb8e065a4f3d24457824e89b" args="()" -->
96virtual&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#ba62fbf7cb8e065a4f3d24457824e89b">~chmat</a> ()</td></tr>
97
98<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Destructor for future use;. <br></td></tr>
99<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="fdd73b0c596161637fd25bdf2c670c39"></a><!-- doxytag: member="chmat::chmat" ref="fdd73b0c596161637fd25bdf2c670c39" args="(const int dim0)" -->
100&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#fdd73b0c596161637fd25bdf2c670c39">chmat</a> (const int dim0)</td></tr>
101
102<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default constructor. <br></td></tr>
103<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d4f0a94e81279295e60e72812130f9d4"></a><!-- doxytag: member="chmat::chmat" ref="d4f0a94e81279295e60e72812130f9d4" args="(const vec &amp;v)" -->
104&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#d4f0a94e81279295e60e72812130f9d4">chmat</a> (const vec &amp;v)</td></tr>
105
106<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default constructor. <br></td></tr>
107<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d92f3bd9a727b8c88a8c7385feb3449a"></a><!-- doxytag: member="chmat::chmat" ref="d92f3bd9a727b8c88a8c7385feb3449a" args="(const chmat &amp;Ch0)" -->
108&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#d92f3bd9a727b8c88a8c7385feb3449a">chmat</a> (const <a class="el" href="classchmat.html">chmat</a> &amp;Ch0)</td></tr>
109
110<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Copy constructor. <br></td></tr>
111<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="8334a00f30f0a05f893c2aeec395ef10"></a><!-- doxytag: member="chmat::chmat" ref="8334a00f30f0a05f893c2aeec395ef10" args="(const mat &amp;M)" -->
112&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#8334a00f30f0a05f893c2aeec395ef10">chmat</a> (const mat &amp;M)</td></tr>
113
114<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default constructor (m3k:cholform). <br></td></tr>
115<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="9c50d31c999d85d8e9d8cf2b69b6ac8c"></a><!-- doxytag: member="chmat::_Ch" ref="9c50d31c999d85d8e9d8cf2b69b6ac8c" args="()" -->
116mat &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#9c50d31c999d85d8e9d8cf2b69b6ac8c">_Ch</a> ()</td></tr>
117
118<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Access function. <br></td></tr>
119<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a4fc7f9b0539b97c414442a22f3db6e8"></a><!-- doxytag: member="chmat::setD" ref="a4fc7f9b0539b97c414442a22f3db6e8" args="(const vec &amp;nD)" -->
120void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#a4fc7f9b0539b97c414442a22f3db6e8">setD</a> (const vec &amp;nD)</td></tr>
121
122<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Access functions. <br></td></tr>
123<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="4b9271097d8317d9514c5d0d62cccb39"></a><!-- doxytag: member="chmat::setD" ref="4b9271097d8317d9514c5d0d62cccb39" args="(const vec &amp;nD, int i)" -->
124void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#4b9271097d8317d9514c5d0d62cccb39">setD</a> (const vec &amp;nD, int i)</td></tr>
125
126<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Access functions. <br></td></tr>
127<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="el" href="classchmat.html">chmat</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#6a8b39fe3a28d2c8e3fc0d74141229fb">operator+=</a> (const <a class="el" href="classchmat.html">chmat</a> &amp;A2)</td></tr>
128
129<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Operators.  <a href="#6a8b39fe3a28d2c8e3fc0d74141229fb"></a><br></td></tr>
130<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a8c3628a8c15eb0009e57c66fcac1a76"></a><!-- doxytag: member="chmat::operator-=" ref="a8c3628a8c15eb0009e57c66fcac1a76" args="(const chmat &amp;A2)" -->
131<a class="el" href="classchmat.html">chmat</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#a8c3628a8c15eb0009e57c66fcac1a76">operator-=</a> (const <a class="el" href="classchmat.html">chmat</a> &amp;A2)</td></tr>
132
133<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">mapping of negative add operation to operators <br></td></tr>
134<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ecc2e2540f95a04f4449842588170f5b"></a><!-- doxytag: member="chmat::cols" ref="ecc2e2540f95a04f4449842588170f5b" args="() const " -->
135int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#ecc2e2540f95a04f4449842588170f5b">cols</a> () const </td></tr>
136
137<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>
138<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="071e80ced9cc3b8cbb360fa7462eb646"></a><!-- doxytag: member="chmat::rows" ref="071e80ced9cc3b8cbb360fa7462eb646" args="() const " -->
139int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#071e80ced9cc3b8cbb360fa7462eb646">rows</a> () const </td></tr>
140
141<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>
142<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr>
143<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="95158bb150f5e7f939168abcd577fd9c"></a><!-- doxytag: member="chmat::Ch" ref="95158bb150f5e7f939168abcd577fd9c" args="" -->
144mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#95158bb150f5e7f939168abcd577fd9c">Ch</a></td></tr>
145
146<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Upper triangle of the cholesky matrix. <br></td></tr>
147<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0abed904bdc0882373ba9adba919689d"></a><!-- doxytag: member="chmat::dim" ref="0abed904bdc0882373ba9adba919689d" args="" -->
148int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#0abed904bdc0882373ba9adba919689d">dim</a></td></tr>
149
150<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">dimension of the square matrix <br></td></tr>
151</table>
152<hr><a name="_details"></a><h2>Detailed Description</h2>
153Symmetric matrix stored in square root decomposition using upper cholesky.
154<p>
155This matrix represent <img class="formulaInl" alt="$A=Ch' Ch$" src="form_19.png"> where only the upper triangle <img class="formulaInl" alt="$Ch$" src="form_20.png"> is stored; <hr><h2>Member Function Documentation</h2>
156<a class="anchor" name="bbc2d98d7455b1f38828907d442836bf"></a><!-- doxytag: member="chmat::opupdt" ref="bbc2d98d7455b1f38828907d442836bf" args="(const vec &amp;v, double w)" -->
157<div class="memitem">
158<div class="memproto">
159      <table class="memname">
160        <tr>
161          <td class="memname">void chmat::opupdt           </td>
162          <td>(</td>
163          <td class="paramtype">const vec &amp;&nbsp;</td>
164          <td class="paramname"> <em>v</em>, </td>
165        </tr>
166        <tr>
167          <td class="paramkey"></td>
168          <td></td>
169          <td class="paramtype">double&nbsp;</td>
170          <td class="paramname"> <em>w</em></td><td>&nbsp;</td>
171        </tr>
172        <tr>
173          <td></td>
174          <td>)</td>
175          <td></td><td></td><td width="100%"><code> [virtual]</code></td>
176        </tr>
177      </table>
178</div>
179<div class="memdoc">
180
181<p>
182Perfroms 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>
183  <table border="0" cellspacing="2" cellpadding="0">
184    <tr><td valign="top"></td><td valign="top"><em>v</em>&nbsp;</td><td>Vector forming the outer product to be added </td></tr>
185    <tr><td valign="top"></td><td valign="top"><em>w</em>&nbsp;</td><td>weight of updating; can be negative</td></tr>
186  </table>
187</dl>
188BLAS-2b operation.
189<p>Implements <a class="el" href="classsqmat.html#b223484796661f2dadb5607a86ce0581">sqmat</a>.</p>
190
191<p>References <a class="el" href="chmat_8h-source.html#l00030">Ch</a>.</p>
192
193</div>
194</div><p>
195<a class="anchor" name="66f509f92b0ccf020e2a2a32566e0777"></a><!-- doxytag: member="chmat::mult_sym" ref="66f509f92b0ccf020e2a2a32566e0777" args="(const mat &amp;C)" -->
196<div class="memitem">
197<div class="memproto">
198      <table class="memname">
199        <tr>
200          <td class="memname">void chmat::mult_sym           </td>
201          <td>(</td>
202          <td class="paramtype">const mat &amp;&nbsp;</td>
203          <td class="paramname"> <em>C</em>          </td>
204          <td>&nbsp;)&nbsp;</td>
205          <td width="100%"><code> [virtual]</code></td>
206        </tr>
207      </table>
208</div>
209<div class="memdoc">
210
211<p>
212Inplace 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">.
213<p>
214<dl compact><dt><b>Parameters:</b></dt><dd>
215  <table border="0" cellspacing="2" cellpadding="0">
216    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>multiplying matrix, </td></tr>
217  </table>
218</dl>
219
220<p>Implements <a class="el" href="classsqmat.html#60fbbfa9e483b8187c135f787ee53afa">sqmat</a>.</p>
221
222</div>
223</div><p>
224<a class="anchor" name="07f50d1332b901eee962e8b1913102f7"></a><!-- doxytag: member="chmat::mult_sym_t" ref="07f50d1332b901eee962e8b1913102f7" args="(const mat &amp;C)" -->
225<div class="memitem">
226<div class="memproto">
227      <table class="memname">
228        <tr>
229          <td class="memname">void chmat::mult_sym_t           </td>
230          <td>(</td>
231          <td class="paramtype">const mat &amp;&nbsp;</td>
232          <td class="paramname"> <em>C</em>          </td>
233          <td>&nbsp;)&nbsp;</td>
234          <td width="100%"><code> [virtual]</code></td>
235        </tr>
236      </table>
237</div>
238<div class="memdoc">
239
240<p>
241Inplace 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">.
242<p>
243<dl compact><dt><b>Parameters:</b></dt><dd>
244  <table border="0" cellspacing="2" cellpadding="0">
245    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>multiplying matrix, </td></tr>
246  </table>
247</dl>
248
249<p>Implements <a class="el" href="classsqmat.html#6909e906da17725b1b80f3cae7cf3325">sqmat</a>.</p>
250
251</div>
252</div><p>
253<a class="anchor" name="b22aa239dbaca33e3fb93b4f674d7051"></a><!-- doxytag: member="chmat::sqrt_mult" ref="b22aa239dbaca33e3fb93b4f674d7051" args="(const vec &amp;v) const " -->
254<div class="memitem">
255<div class="memproto">
256      <table class="memname">
257        <tr>
258          <td class="memname">vec chmat::sqrt_mult           </td>
259          <td>(</td>
260          <td class="paramtype">const vec &amp;&nbsp;</td>
261          <td class="paramname"> <em>v</em>          </td>
262          <td>&nbsp;)&nbsp;</td>
263          <td width="100%"> const<code> [inline, virtual]</code></td>
264        </tr>
265      </table>
266</div>
267<div class="memdoc">
268
269<p>
270Multiplies square root of <img class="formulaInl" alt="$V$" src="form_27.png"> by vector <img class="formulaInl" alt="$x$" src="form_28.png">.
271<p>
272Used e.g. in generating normal samples.
273<p>Implements <a class="el" href="classsqmat.html#6b79438b5d7544a9c8e110a145355d8f">sqmat</a>.</p>
274
275<p>References <a class="el" href="chmat_8h-source.html#l00030">Ch</a>.</p>
276
277</div>
278</div><p>
279<a class="anchor" name="6a8b39fe3a28d2c8e3fc0d74141229fb"></a><!-- doxytag: member="chmat::operator+=" ref="6a8b39fe3a28d2c8e3fc0d74141229fb" args="(const chmat &amp;A2)" -->
280<div class="memitem">
281<div class="memproto">
282      <table class="memname">
283        <tr>
284          <td class="memname"><a class="el" href="classchmat.html">chmat</a> &amp; chmat::operator+=           </td>
285          <td>(</td>
286          <td class="paramtype">const <a class="el" href="classchmat.html">chmat</a> &amp;&nbsp;</td>
287          <td class="paramname"> <em>A2</em>          </td>
288          <td>&nbsp;)&nbsp;</td>
289          <td width="100%"><code> [inline]</code></td>
290        </tr>
291      </table>
292</div>
293<div class="memdoc">
294
295<p>
296Operators.
297<p>
298Operations: mapping of add operation to operators
299</div>
300</div><p>
301<hr>The documentation for this class was generated from the following files:<ul>
302<li>work/mixpp/bdm/math/<a class="el" href="chmat_8h-source.html">chmat.h</a><li>work/mixpp/bdm/math/chmat.cpp</ul>
303</div>
304<hr size="1"><address style="text-align: right;"><small>Generated on Fri May 9 23:06:36 2008 for mixpp by&nbsp;
305<a href="http://www.doxygen.org/index.html">
306<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.5 </small></address>
307</body>
308</html>
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