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29<h1>chmat Class Reference</h1><!-- doxytag: class="chmat" --><!-- doxytag: inherits="sqmat" --><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="5,7,67,33"></map>
37<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div>
38
39<p>
40<a href="classchmat-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2>
41Symmetric matrix stored in square root decomposition using upper cholesky.
42<p>
43This 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; <table border="0" cellpadding="0" cellspacing="0">
44<tr><td></td></tr>
45<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
46<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>
47
48<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="045addd685f8d978efda232d7dcb070e"></a><!-- doxytag: member="chmat::to_mat" ref="045addd685f8d978efda232d7dcb070e" args="() const " -->
49mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#045addd685f8d978efda232d7dcb070e">to_mat</a> () const </td></tr>
50
51<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Conversion to full matrix. <br></td></tr>
52<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>
53
54<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>
55<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 " -->
56void&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>
57
58<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>
59
60<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>
61<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 " -->
62void&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>
63
64<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b504ca818203b13e667cb3c503980382"></a><!-- doxytag: member="chmat::logdet" ref="b504ca818203b13e667cb3c503980382" args="() const " -->
65double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#b504ca818203b13e667cb3c503980382">logdet</a> () const </td></tr>
66
67<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Logarithm of a determinant. <br></td></tr>
68<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>
69
70<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>
71<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 " -->
72double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#6807737c7ffdb7041256b51db7592248">qform</a> (const vec &amp;v) const </td></tr>
73
74<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>
75<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 " -->
76double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#b49427cff186c62f5df3724e5d2c34b4">invqform</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="$x= v'*inv(V)*v$" src="form_30.png">;. <br></td></tr>
79<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="d0a995d312ecc11d3b43693f5e224ba9"></a><!-- doxytag: member="chmat::clear" ref="d0a995d312ecc11d3b43693f5e224ba9" args="()" -->
80void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#d0a995d312ecc11d3b43693f5e224ba9">clear</a> ()</td></tr>
81
82<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Clearing matrix so that it corresponds to zeros. <br></td></tr>
83<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)" -->
84void&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>
85
86<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>
87<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 " -->
88void&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>
89
90<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inversion in the same form, i.e. cholesky. <br></td></tr>
91<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ba62fbf7cb8e065a4f3d24457824e89b"></a><!-- doxytag: member="chmat::~chmat" ref="ba62fbf7cb8e065a4f3d24457824e89b" args="()" -->
92virtual&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#ba62fbf7cb8e065a4f3d24457824e89b">~chmat</a> ()</td></tr>
93
94<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Destructor for future use;. <br></td></tr>
95<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)" -->
96&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#fdd73b0c596161637fd25bdf2c670c39">chmat</a> (const int dim0)</td></tr>
97
98<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default constructor. <br></td></tr>
99<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)" -->
100&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#d4f0a94e81279295e60e72812130f9d4">chmat</a> (const vec &amp;v)</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="d92f3bd9a727b8c88a8c7385feb3449a"></a><!-- doxytag: member="chmat::chmat" ref="d92f3bd9a727b8c88a8c7385feb3449a" args="(const chmat &amp;Ch0)" -->
104&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>
105
106<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Copy constructor. <br></td></tr>
107<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)" -->
108&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#8334a00f30f0a05f893c2aeec395ef10">chmat</a> (const mat &amp;M)</td></tr>
109
110<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default constructor (m3k:cholform). <br></td></tr>
111<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="24de7f42e0a86bb270588cd0dd9d60b4"></a><!-- doxytag: member="chmat::chmat" ref="24de7f42e0a86bb270588cd0dd9d60b4" args="(const chmat &amp;M, const ivec &amp;perm)" -->
112&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#24de7f42e0a86bb270588cd0dd9d60b4">chmat</a> (const <a class="el" href="classchmat.html">chmat</a> &amp;M, const ivec &amp;perm)</td></tr>
113
114<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructor. <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="64f1eec40946d3abad7762899c9f933a"></a><!-- doxytag: member="chmat::operator*" ref="64f1eec40946d3abad7762899c9f933a" args="(const chmat &amp;A2)" -->
135<a class="el" href="classchmat.html">chmat</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>operator*</b> (const <a class="el" href="classchmat.html">chmat</a> &amp;A2)</td></tr>
136
137<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e0404bcb998f0b82d25f5fc386cc4fa5"></a><!-- doxytag: member="chmat::operator*" ref="e0404bcb998f0b82d25f5fc386cc4fa5" args="(const double &amp;d)" -->
138<a class="el" href="classchmat.html">chmat</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>operator*</b> (const double &amp;d)</td></tr>
139
140<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="cdb54c921d7b93ac1a04d58cae7a9618"></a><!-- doxytag: member="chmat::operator=" ref="cdb54c921d7b93ac1a04d58cae7a9618" args="(const chmat &amp;A2)" -->
141<a class="el" href="classchmat.html">chmat</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>operator=</b> (const <a class="el" href="classchmat.html">chmat</a> &amp;A2)</td></tr>
142
143<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ecc2e2540f95a04f4449842588170f5b"></a><!-- doxytag: member="chmat::cols" ref="ecc2e2540f95a04f4449842588170f5b" args="() const " -->
144int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#ecc2e2540f95a04f4449842588170f5b">cols</a> () const </td></tr>
145
146<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>
147<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="071e80ced9cc3b8cbb360fa7462eb646"></a><!-- doxytag: member="chmat::rows" ref="071e80ced9cc3b8cbb360fa7462eb646" args="() const " -->
148int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#071e80ced9cc3b8cbb360fa7462eb646">rows</a> () const </td></tr>
149
150<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>
151<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr>
152<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="95158bb150f5e7f939168abcd577fd9c"></a><!-- doxytag: member="chmat::Ch" ref="95158bb150f5e7f939168abcd577fd9c" args="" -->
153mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classchmat.html#95158bb150f5e7f939168abcd577fd9c">Ch</a></td></tr>
154
155<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Upper triangle of the cholesky matrix. <br></td></tr>
156<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0abed904bdc0882373ba9adba919689d"></a><!-- doxytag: member="chmat::dim" ref="0abed904bdc0882373ba9adba919689d" args="" -->
157int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#0abed904bdc0882373ba9adba919689d">dim</a></td></tr>
158
159<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">dimension of the square matrix <br></td></tr>
160</table>
161<hr><h2>Member Function Documentation</h2>
162<a class="anchor" name="bbc2d98d7455b1f38828907d442836bf"></a><!-- doxytag: member="chmat::opupdt" ref="bbc2d98d7455b1f38828907d442836bf" args="(const vec &amp;v, double w)" -->
163<div class="memitem">
164<div class="memproto">
165      <table class="memname">
166        <tr>
167          <td class="memname">void chmat::opupdt           </td>
168          <td>(</td>
169          <td class="paramtype">const vec &amp;&nbsp;</td>
170          <td class="paramname"> <em>v</em>, </td>
171        </tr>
172        <tr>
173          <td class="paramkey"></td>
174          <td></td>
175          <td class="paramtype">double&nbsp;</td>
176          <td class="paramname"> <em>w</em></td><td>&nbsp;</td>
177        </tr>
178        <tr>
179          <td></td>
180          <td>)</td>
181          <td></td><td></td><td><code> [virtual]</code></td>
182        </tr>
183      </table>
184</div>
185<div class="memdoc">
186
187<p>
188Perfroms 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>
189  <table border="0" cellspacing="2" cellpadding="0">
190    <tr><td valign="top"></td><td valign="top"><em>v</em>&nbsp;</td><td>Vector forming the outer product to be added </td></tr>
191    <tr><td valign="top"></td><td valign="top"><em>w</em>&nbsp;</td><td>weight of updating; can be negative</td></tr>
192  </table>
193</dl>
194BLAS-2b operation.
195<p>Implements <a class="el" href="classsqmat.html#b223484796661f2dadb5607a86ce0581">sqmat</a>.</p>
196
197<p>References <a class="el" href="chmat_8h-source.html#l00027">Ch</a>.</p>
198
199</div>
200</div><p>
201<a class="anchor" name="66f509f92b0ccf020e2a2a32566e0777"></a><!-- doxytag: member="chmat::mult_sym" ref="66f509f92b0ccf020e2a2a32566e0777" args="(const mat &amp;C)" -->
202<div class="memitem">
203<div class="memproto">
204      <table class="memname">
205        <tr>
206          <td class="memname">void chmat::mult_sym           </td>
207          <td>(</td>
208          <td class="paramtype">const mat &amp;&nbsp;</td>
209          <td class="paramname"> <em>C</em>          </td>
210          <td>&nbsp;)&nbsp;</td>
211          <td><code> [virtual]</code></td>
212        </tr>
213      </table>
214</div>
215<div class="memdoc">
216
217<p>
218Inplace 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">.
219<p>
220<dl compact><dt><b>Parameters:</b></dt><dd>
221  <table border="0" cellspacing="2" cellpadding="0">
222    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>multiplying matrix, </td></tr>
223  </table>
224</dl>
225
226<p>Implements <a class="el" href="classsqmat.html#60fbbfa9e483b8187c135f787ee53afa">sqmat</a>.</p>
227
228</div>
229</div><p>
230<a class="anchor" name="07f50d1332b901eee962e8b1913102f7"></a><!-- doxytag: member="chmat::mult_sym_t" ref="07f50d1332b901eee962e8b1913102f7" args="(const mat &amp;C)" -->
231<div class="memitem">
232<div class="memproto">
233      <table class="memname">
234        <tr>
235          <td class="memname">void chmat::mult_sym_t           </td>
236          <td>(</td>
237          <td class="paramtype">const mat &amp;&nbsp;</td>
238          <td class="paramname"> <em>C</em>          </td>
239          <td>&nbsp;)&nbsp;</td>
240          <td><code> [virtual]</code></td>
241        </tr>
242      </table>
243</div>
244<div class="memdoc">
245
246<p>
247Inplace 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">.
248<p>
249<dl compact><dt><b>Parameters:</b></dt><dd>
250  <table border="0" cellspacing="2" cellpadding="0">
251    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>multiplying matrix, </td></tr>
252  </table>
253</dl>
254
255<p>Implements <a class="el" href="classsqmat.html#6909e906da17725b1b80f3cae7cf3325">sqmat</a>.</p>
256
257</div>
258</div><p>
259<a class="anchor" name="b22aa239dbaca33e3fb93b4f674d7051"></a><!-- doxytag: member="chmat::sqrt_mult" ref="b22aa239dbaca33e3fb93b4f674d7051" args="(const vec &amp;v) const " -->
260<div class="memitem">
261<div class="memproto">
262      <table class="memname">
263        <tr>
264          <td class="memname">vec chmat::sqrt_mult           </td>
265          <td>(</td>
266          <td class="paramtype">const vec &amp;&nbsp;</td>
267          <td class="paramname"> <em>v</em>          </td>
268          <td>&nbsp;)&nbsp;</td>
269          <td> const<code> [virtual]</code></td>
270        </tr>
271      </table>
272</div>
273<div class="memdoc">
274
275<p>
276Multiplies square root of <img class="formulaInl" alt="$V$" src="form_27.png"> by vector <img class="formulaInl" alt="$x$" src="form_28.png">.
277<p>
278Used e.g. in generating normal samples.
279<p>Implements <a class="el" href="classsqmat.html#6b79438b5d7544a9c8e110a145355d8f">sqmat</a>.</p>
280
281<p>References <a class="el" href="chmat_8h-source.html#l00027">Ch</a>.</p>
282
283</div>
284</div><p>
285<a class="anchor" name="6a8b39fe3a28d2c8e3fc0d74141229fb"></a><!-- doxytag: member="chmat::operator+=" ref="6a8b39fe3a28d2c8e3fc0d74141229fb" args="(const chmat &amp;A2)" -->
286<div class="memitem">
287<div class="memproto">
288      <table class="memname">
289        <tr>
290          <td class="memname"><a class="el" href="classchmat.html">chmat</a> &amp; chmat::operator+=           </td>
291          <td>(</td>
292          <td class="paramtype">const <a class="el" href="classchmat.html">chmat</a> &amp;&nbsp;</td>
293          <td class="paramname"> <em>A2</em>          </td>
294          <td>&nbsp;)&nbsp;</td>
295          <td><code> [inline]</code></td>
296        </tr>
297      </table>
298</div>
299<div class="memdoc">
300
301<p>
302Operators.
303<p>
304Operations: mapping of add operation to operators
305</div>
306</div><p>
307<hr>The documentation for this class was generated from the following files:<ul>
308<li><a class="el" href="chmat_8h-source.html">chmat.h</a><li>chmat.cpp</ul>
309</div>
310<hr size="1"><address style="text-align: right;"><small>Generated on Wed Feb 11 23:34:00 2009 for mixpp by&nbsp;
311<a href="http://www.doxygen.org/index.html">
312<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address>
313</body>
314</html>
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