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    70 <h1>bdm::sqmat Class Reference</h1><!-- doxytag: class="bdm::sqmat" -->Abstract class for representation of double symmetric matrices in square-root form.   
    71 <a href="#_details">More...</a> 
    72 <p> 
    73 <code>#include &lt;<a class="el" href="square__mat_8h-source.html">square_mat.h</a>&gt;</code> 
    74 <p> 
    75  
    76 <p> 
    77 <a href="classbdm_1_1sqmat-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0"> 
    78 <tr><td></td></tr> 
    79 <tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> 
    80 <tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#cb3b3eef10b0c1f41ead717d3ad40ec5">opupdt</a> (const vec &amp;v, double w)=0</td></tr> 
    81  
    82 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ee9c751c4b506c29dc65c2b61487e1ad"></a><!-- doxytag: member="bdm::sqmat::to_mat" ref="ee9c751c4b506c29dc65c2b61487e1ad" args="() const =0" --> 
    83 virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#ee9c751c4b506c29dc65c2b61487e1ad">to_mat</a> () const =0</td></tr> 
    84  
    85 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Conversion to full matrix. <br></td></tr> 
    86 <tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#742581db1f8ce9602ec1c3e6373e499c">mult_sym</a> (const mat &amp;C)=0</td></tr> 
    87  
    88 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inplace symmetric multiplication by a SQUARE matrix <img class="formulaInl" alt="$C$" src="form_52.png">, i.e. <img class="formulaInl" alt="$V = C*V*C'$" src="form_53.png">.  <a href="#742581db1f8ce9602ec1c3e6373e499c"></a><br></td></tr> 
    89 <tr><td class="memItemLeft" nowrap align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#2db6f35ac14e6d1d905b4100e4c13743">mult_sym_t</a> (const mat &amp;C)=0</td></tr> 
    90  
    91 <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_52.png">, i.e. <img class="formulaInl" alt="$V = C'*V*C$" src="form_54.png">.  <a href="#2db6f35ac14e6d1d905b4100e4c13743"></a><br></td></tr> 
    92 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="121b108a818c0388a46866ad34ae9242"></a><!-- doxytag: member="bdm::sqmat::logdet" ref="121b108a818c0388a46866ad34ae9242" args="() const =0" --> 
    93 virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#121b108a818c0388a46866ad34ae9242">logdet</a> () const =0</td></tr> 
    94  
    95 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Logarithm of a determinant. <br></td></tr> 
    96 <tr><td class="memItemLeft" nowrap align="right" valign="top">virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#608bfff59854833f1acfccdbd346832a">sqrt_mult</a> (const vec &amp;v) const =0</td></tr> 
    97  
    98 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Multiplies square <a class="el" href="classbdm_1_1root.html" title="Root class of BDM objects.">root</a> of <img class="formulaInl" alt="$V$" src="form_55.png"> by vector <img class="formulaInl" alt="$x$" src="form_1.png">.  <a href="#608bfff59854833f1acfccdbd346832a"></a><br></td></tr> 
    99 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c2b7450ba7cf9068ab332f8abdf065f7"></a><!-- doxytag: member="bdm::sqmat::qform" ref="c2b7450ba7cf9068ab332f8abdf065f7" args="(const vec &amp;v) const =0" --> 
    100 virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#c2b7450ba7cf9068ab332f8abdf065f7">qform</a> (const vec &amp;v) const =0</td></tr> 
    101  
    102 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates quadratic form <img class="formulaInl" alt="$x= v'*V*v$" src="form_56.png">;. <br></td></tr> 
    103 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5e5e62419aa9ab15556dd49e5a9ad6ed"></a><!-- doxytag: member="bdm::sqmat::invqform" ref="5e5e62419aa9ab15556dd49e5a9ad6ed" args="(const vec &amp;v) const =0" --> 
    104 virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#5e5e62419aa9ab15556dd49e5a9ad6ed">invqform</a> (const vec &amp;v) const =0</td></tr> 
    105  
    106 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates quadratic form <img class="formulaInl" alt="$x= v'*inv(V)*v$" src="form_57.png">;. <br></td></tr> 
    107 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b24649cb221296e633d658c8aba2c9d8"></a><!-- doxytag: member="bdm::sqmat::clear" ref="b24649cb221296e633d658c8aba2c9d8" args="()=0" --> 
    108 virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#b24649cb221296e633d658c8aba2c9d8">clear</a> ()=0</td></tr> 
    109  
    110 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Clearing matrix so that it corresponds to zeros. <br></td></tr> 
    111 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="445ef762cf5d2d6cfdf53c72942363cf"></a><!-- doxytag: member="bdm::sqmat::cols" ref="445ef762cf5d2d6cfdf53c72942363cf" args="() const " --> 
    112 int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#445ef762cf5d2d6cfdf53c72942363cf">cols</a> () const </td></tr> 
    113  
    114 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Reimplementing common functions of mat: <a class="el" href="classbdm_1_1sqmat.html#445ef762cf5d2d6cfdf53c72942363cf" title="Reimplementing common functions of mat: cols().">cols()</a>. <br></td></tr> 
    115 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="73e639221343dcce76c3305524d67590"></a><!-- doxytag: member="bdm::sqmat::rows" ref="73e639221343dcce76c3305524d67590" args="() const " --> 
    116 int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#73e639221343dcce76c3305524d67590">rows</a> () const </td></tr> 
    117  
    118 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Reimplementing common functions of mat: <a class="el" href="classbdm_1_1sqmat.html#73e639221343dcce76c3305524d67590" title="Reimplementing common functions of mat: rows().">rows()</a>. <br></td></tr> 
    119 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="33a9a1ec2f66b6c1e3081e5e65c36d0e"></a><!-- doxytag: member="bdm::sqmat::~sqmat" ref="33a9a1ec2f66b6c1e3081e5e65c36d0e" args="()" --> 
    120 virtual&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#33a9a1ec2f66b6c1e3081e5e65c36d0e">~sqmat</a> ()</td></tr> 
    121  
    122 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Destructor for future use;. <br></td></tr> 
    123 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="3d304dccc155638c6d435cd1c0611dfc"></a><!-- doxytag: member="bdm::sqmat::sqmat" ref="3d304dccc155638c6d435cd1c0611dfc" args="(const int dim0)" --> 
    124 &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#3d304dccc155638c6d435cd1c0611dfc">sqmat</a> (const int dim0)</td></tr> 
    125  
    126 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default constructor. <br></td></tr> 
    127 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="3051f1734d36cce6c58c799fdd4451bb"></a><!-- doxytag: member="bdm::sqmat::sqmat" ref="3051f1734d36cce6c58c799fdd4451bb" args="()" --> 
    128 &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#3051f1734d36cce6c58c799fdd4451bb">sqmat</a> ()</td></tr> 
    129  
    130 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default constructor. <br></td></tr> 
    131 <tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr> 
    132 <tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="05111b5744a494880e62cb0f3d42293f"></a><!-- doxytag: member="bdm::sqmat::dim" ref="05111b5744a494880e62cb0f3d42293f" args="" --> 
    133 int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#05111b5744a494880e62cb0f3d42293f">dim</a></td></tr> 
    134  
    135 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">dimension of the square matrix <br></td></tr> 
     73<h1>bdm::sqmat Class Reference</h1><!-- doxytag: class="bdm::sqmat" --> 
     74<p>Abstract class for representation of double symmetric matrices in square-root form.   
     75<a href="#_details">More...</a></p> 
     76 
     77<p><code>#include &lt;<a class="el" href="square__mat_8h_source.html">square_mat.h</a>&gt;</code></p> 
     78 
     79<p><a href="classbdm_1_1sqmat-members.html">List of all members.</a></p> 
     80<table border="0" cellpadding="0" cellspacing="0"> 
     81<tr><td colspan="2"><h2>Public Member Functions</h2></td></tr> 
     82<tr><td class="memItemLeft" align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#acb3b3eef10b0c1f41ead717d3ad40ec5">opupdt</a> (const vec &amp;v, double w)=0</td></tr> 
     83<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aee9c751c4b506c29dc65c2b61487e1ad"></a><!-- doxytag: member="bdm::sqmat::to_mat" ref="aee9c751c4b506c29dc65c2b61487e1ad" args="() const =0" --> 
     84virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#aee9c751c4b506c29dc65c2b61487e1ad">to_mat</a> () const =0</td></tr> 
     85<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Conversion to full matrix. <br/></td></tr> 
     86<tr><td class="memItemLeft" align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a742581db1f8ce9602ec1c3e6373e499c">mult_sym</a> (const mat &amp;C)=0</td></tr> 
     87<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inplace symmetric multiplication by a SQUARE matrix <img class="formulaInl" alt="$C$" src="form_52.png"/>, i.e. <img class="formulaInl" alt="$V = C*V*C'$" src="form_53.png"/>.  <a href="#a742581db1f8ce9602ec1c3e6373e499c"></a><br/></td></tr> 
     88<tr><td class="memItemLeft" align="right" valign="top">virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a2db6f35ac14e6d1d905b4100e4c13743">mult_sym_t</a> (const mat &amp;C)=0</td></tr> 
     89<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_52.png"/>, i.e. <img class="formulaInl" alt="$V = C'*V*C$" src="form_54.png"/>.  <a href="#a2db6f35ac14e6d1d905b4100e4c13743"></a><br/></td></tr> 
     90<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a121b108a818c0388a46866ad34ae9242"></a><!-- doxytag: member="bdm::sqmat::logdet" ref="a121b108a818c0388a46866ad34ae9242" args="() const =0" --> 
     91virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a121b108a818c0388a46866ad34ae9242">logdet</a> () const =0</td></tr> 
     92<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Logarithm of a determinant. <br/></td></tr> 
     93<tr><td class="memItemLeft" align="right" valign="top">virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a608bfff59854833f1acfccdbd346832a">sqrt_mult</a> (const vec &amp;v) const =0</td></tr> 
     94<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Multiplies square <a class="el" href="classbdm_1_1root.html" title="Root class of BDM objects.">root</a> of <img class="formulaInl" alt="$V$" src="form_55.png"/> by vector <img class="formulaInl" alt="$x$" src="form_1.png"/>.  <a href="#a608bfff59854833f1acfccdbd346832a"></a><br/></td></tr> 
     95<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ac2b7450ba7cf9068ab332f8abdf065f7"></a><!-- doxytag: member="bdm::sqmat::qform" ref="ac2b7450ba7cf9068ab332f8abdf065f7" args="(const vec &amp;v) const =0" --> 
     96virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#ac2b7450ba7cf9068ab332f8abdf065f7">qform</a> (const vec &amp;v) const =0</td></tr> 
     97<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates quadratic form <img class="formulaInl" alt="$x= v'*V*v$" src="form_56.png"/>;. <br/></td></tr> 
     98<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a5e5e62419aa9ab15556dd49e5a9ad6ed"></a><!-- doxytag: member="bdm::sqmat::invqform" ref="a5e5e62419aa9ab15556dd49e5a9ad6ed" args="(const vec &amp;v) const =0" --> 
     99virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a5e5e62419aa9ab15556dd49e5a9ad6ed">invqform</a> (const vec &amp;v) const =0</td></tr> 
     100<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates quadratic form <img class="formulaInl" alt="$x= v'*inv(V)*v$" src="form_57.png"/>;. <br/></td></tr> 
     101<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ab24649cb221296e633d658c8aba2c9d8"></a><!-- doxytag: member="bdm::sqmat::clear" ref="ab24649cb221296e633d658c8aba2c9d8" args="()=0" --> 
     102virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#ab24649cb221296e633d658c8aba2c9d8">clear</a> ()=0</td></tr> 
     103<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Clearing matrix so that it corresponds to zeros. <br/></td></tr> 
     104<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a445ef762cf5d2d6cfdf53c72942363cf"></a><!-- doxytag: member="bdm::sqmat::cols" ref="a445ef762cf5d2d6cfdf53c72942363cf" args="() const " --> 
     105int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a445ef762cf5d2d6cfdf53c72942363cf">cols</a> () const </td></tr> 
     106<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Reimplementing common functions of mat: <a class="el" href="classbdm_1_1sqmat.html#a445ef762cf5d2d6cfdf53c72942363cf" title="Reimplementing common functions of mat: cols().">cols()</a>. <br/></td></tr> 
     107<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a73e639221343dcce76c3305524d67590"></a><!-- doxytag: member="bdm::sqmat::rows" ref="a73e639221343dcce76c3305524d67590" args="() const " --> 
     108int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a73e639221343dcce76c3305524d67590">rows</a> () const </td></tr> 
     109<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Reimplementing common functions of mat: <a class="el" href="classbdm_1_1sqmat.html#a73e639221343dcce76c3305524d67590" title="Reimplementing common functions of mat: rows().">rows()</a>. <br/></td></tr> 
     110<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a33a9a1ec2f66b6c1e3081e5e65c36d0e"></a><!-- doxytag: member="bdm::sqmat::~sqmat" ref="a33a9a1ec2f66b6c1e3081e5e65c36d0e" args="()" --> 
     111virtual&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a33a9a1ec2f66b6c1e3081e5e65c36d0e">~sqmat</a> ()</td></tr> 
     112<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Destructor for future use;. <br/></td></tr> 
     113<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a3d304dccc155638c6d435cd1c0611dfc"></a><!-- doxytag: member="bdm::sqmat::sqmat" ref="a3d304dccc155638c6d435cd1c0611dfc" args="(const int dim0)" --> 
     114&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a3d304dccc155638c6d435cd1c0611dfc">sqmat</a> (const int dim0)</td></tr> 
     115<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default constructor. <br/></td></tr> 
     116<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a3051f1734d36cce6c58c799fdd4451bb"></a><!-- doxytag: member="bdm::sqmat::sqmat" ref="a3051f1734d36cce6c58c799fdd4451bb" args="()" --> 
     117&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a3051f1734d36cce6c58c799fdd4451bb">sqmat</a> ()</td></tr> 
     118<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default constructor. <br/></td></tr> 
     119<tr><td colspan="2"><h2>Protected Attributes</h2></td></tr> 
     120<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a05111b5744a494880e62cb0f3d42293f"></a><!-- doxytag: member="bdm::sqmat::dim" ref="a05111b5744a494880e62cb0f3d42293f" args="" --> 
     121int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a05111b5744a494880e62cb0f3d42293f">dim</a></td></tr> 
     122<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">dimension of the square matrix <br/></td></tr> 
    136123</table> 
    137 <hr><a name="_details"></a><h2>Detailed Description</h2> 
    138 Abstract class for representation of double symmetric matrices in square-root form.  
    139 <p> 
    140 All operations defined on this class should be optimized for the chosen decomposition. <hr><h2>Member Function Documentation</h2> 
    141 <a class="anchor" name="742581db1f8ce9602ec1c3e6373e499c"></a><!-- doxytag: member="bdm::sqmat::mult_sym" ref="742581db1f8ce9602ec1c3e6373e499c" args="(const mat &amp;C)=0" --> 
    142 <div class="memitem"> 
    143 <div class="memproto"> 
    144       <table class="memname"> 
    145         <tr> 
    146           <td class="memname">virtual void bdm::sqmat::mult_sym           </td> 
     124<hr/><a name="_details"></a><h2>Detailed Description</h2> 
     125<p>Abstract class for representation of double symmetric matrices in square-root form. </p> 
     126<p>All operations defined on this class should be optimized for the chosen decomposition. </p> 
     127<hr/><h2>Member Function Documentation</h2> 
     128<a class="anchor" id="a742581db1f8ce9602ec1c3e6373e499c"></a><!-- doxytag: member="bdm::sqmat::mult_sym" ref="a742581db1f8ce9602ec1c3e6373e499c" args="(const mat &amp;C)=0" --> 
     129<div class="memitem"> 
     130<div class="memproto"> 
     131      <table class="memname"> 
     132        <tr> 
     133          <td class="memname">virtual void bdm::sqmat::mult_sym </td> 
    147134          <td>(</td> 
    148135          <td class="paramtype">const mat &amp;&nbsp;</td> 
    149           <td class="paramname"> <em>C</em>          </td> 
     136          <td class="paramname"> <em>C</em></td> 
    150137          <td>&nbsp;)&nbsp;</td> 
    151138          <td><code> [pure virtual]</code></td> 
    … …  
    155142<div class="memdoc"> 
    156143 
    157 <p> 
    158 Inplace symmetric multiplication by a SQUARE matrix <img class="formulaInl" alt="$C$" src="form_52.png">, i.e. <img class="formulaInl" alt="$V = C*V*C'$" src="form_53.png">.  
    159 <p> 
    160 <dl compact><dt><b>Parameters:</b></dt><dd> 
     144<p>Inplace symmetric multiplication by a SQUARE matrix <img class="formulaInl" alt="$C$" src="form_52.png"/>, i.e. <img class="formulaInl" alt="$V = C*V*C'$" src="form_53.png"/>. </p> 
     145<dl><dt><b>Parameters:</b></dt><dd> 
    161146  <table border="0" cellspacing="2" cellpadding="0"> 
    162147    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>multiplying matrix, </td></tr> 
    163148  </table> 
     149  </dd> 
    164150</dl> 
    165151 
    166 <p>Implemented in <a class="el" href="classbdm_1_1chmat.html#832d1a18bbf33ee7681adf01d5d08e21">bdm::chmat</a>, <a class="el" href="classbdm_1_1fsqmat.html#fca713af3f74677fd7fbafe723590112">bdm::fsqmat</a>, and <a class="el" href="classbdm_1_1ldmat.html#7a813158c36347deccf50a08feee24a8">bdm::ldmat</a>.</p> 
    167  
    168 </div> 
    169 </div><p> 
    170 <a class="anchor" name="2db6f35ac14e6d1d905b4100e4c13743"></a><!-- doxytag: member="bdm::sqmat::mult_sym_t" ref="2db6f35ac14e6d1d905b4100e4c13743" args="(const mat &amp;C)=0" --> 
    171 <div class="memitem"> 
    172 <div class="memproto"> 
    173       <table class="memname"> 
    174         <tr> 
    175           <td class="memname">virtual void bdm::sqmat::mult_sym_t           </td> 
     152<p>Implemented in <a class="el" href="classbdm_1_1chmat.html#a832d1a18bbf33ee7681adf01d5d08e21">bdm::chmat</a>, <a class="el" href="classbdm_1_1fsqmat.html#afca713af3f74677fd7fbafe723590112">bdm::fsqmat</a>, and <a class="el" href="classbdm_1_1ldmat.html#a7a813158c36347deccf50a08feee24a8">bdm::ldmat</a>.</p> 
     153 
     154</div> 
     155</div> 
     156<a class="anchor" id="a2db6f35ac14e6d1d905b4100e4c13743"></a><!-- doxytag: member="bdm::sqmat::mult_sym_t" ref="a2db6f35ac14e6d1d905b4100e4c13743" args="(const mat &amp;C)=0" --> 
     157<div class="memitem"> 
     158<div class="memproto"> 
     159      <table class="memname"> 
     160        <tr> 
     161          <td class="memname">virtual void bdm::sqmat::mult_sym_t </td> 
    176162          <td>(</td> 
    177163          <td class="paramtype">const mat &amp;&nbsp;</td> 
    178           <td class="paramname"> <em>C</em>          </td> 
     164          <td class="paramname"> <em>C</em></td> 
    179165          <td>&nbsp;)&nbsp;</td> 
    180166          <td><code> [pure virtual]</code></td> 
    … …  
    184170<div class="memdoc"> 
    185171 
    186 <p> 
    187 Inplace symmetric multiplication by a SQUARE transpose of matrix <img class="formulaInl" alt="$C$" src="form_52.png">, i.e. <img class="formulaInl" alt="$V = C'*V*C$" src="form_54.png">.  
    188 <p> 
    189 <dl compact><dt><b>Parameters:</b></dt><dd> 
     172<p>Inplace symmetric multiplication by a SQUARE transpose of matrix <img class="formulaInl" alt="$C$" src="form_52.png"/>, i.e. <img class="formulaInl" alt="$V = C'*V*C$" src="form_54.png"/>. </p> 
     173<dl><dt><b>Parameters:</b></dt><dd> 
    190174  <table border="0" cellspacing="2" cellpadding="0"> 
    191175    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>multiplying matrix, </td></tr> 
    192176  </table> 
     177  </dd> 
    193178</dl> 
    194179 
    195 <p>Implemented in <a class="el" href="classbdm_1_1chmat.html#7a4f54f1ea8b802f318de77a78f6ddb0">bdm::chmat</a>, <a class="el" href="classbdm_1_1fsqmat.html#0f6b7cf09daf484f29ea99a144a27039">bdm::fsqmat</a>, and <a class="el" href="classbdm_1_1ldmat.html#591ae54f5fce50e7160025eeab44888f">bdm::ldmat</a>.</p> 
    196  
    197 </div> 
    198 </div><p> 
    199 <a class="anchor" name="cb3b3eef10b0c1f41ead717d3ad40ec5"></a><!-- doxytag: member="bdm::sqmat::opupdt" ref="cb3b3eef10b0c1f41ead717d3ad40ec5" args="(const vec &amp;v, double w)=0" --> 
    200 <div class="memitem"> 
    201 <div class="memproto"> 
    202       <table class="memname"> 
    203         <tr> 
    204           <td class="memname">virtual void bdm::sqmat::opupdt           </td> 
     180<p>Implemented in <a class="el" href="classbdm_1_1chmat.html#a7a4f54f1ea8b802f318de77a78f6ddb0">bdm::chmat</a>, <a class="el" href="classbdm_1_1fsqmat.html#a0f6b7cf09daf484f29ea99a144a27039">bdm::fsqmat</a>, and <a class="el" href="classbdm_1_1ldmat.html#a591ae54f5fce50e7160025eeab44888f">bdm::ldmat</a>.</p> 
     181 
     182</div> 
     183</div> 
     184<a class="anchor" id="acb3b3eef10b0c1f41ead717d3ad40ec5"></a><!-- doxytag: member="bdm::sqmat::opupdt" ref="acb3b3eef10b0c1f41ead717d3ad40ec5" args="(const vec &amp;v, double w)=0" --> 
     185<div class="memitem"> 
     186<div class="memproto"> 
     187      <table class="memname"> 
     188        <tr> 
     189          <td class="memname">virtual void bdm::sqmat::opupdt </td> 
    205190          <td>(</td> 
    206191          <td class="paramtype">const vec &amp;&nbsp;</td> 
    … …  
    221206</div> 
    222207<div class="memdoc"> 
    223  
    224 <p> 
    225 Perfroms a rank-1 update by outer product of vectors: <img class="formulaInl" alt="$V = V + w v v'$" src="form_51.png">. <dl compact><dt><b>Parameters:</b></dt><dd> 
     208<p>Perfroms a rank-1 update by outer product of vectors: <img class="formulaInl" alt="$V = V + w v v'$" src="form_51.png"/>. </p> 
     209<dl><dt><b>Parameters:</b></dt><dd> 
    226210  <table border="0" cellspacing="2" cellpadding="0"> 
    227211    <tr><td valign="top"></td><td valign="top"><em>v</em>&nbsp;</td><td>Vector forming the outer product to be added </td></tr> 
    228212    <tr><td valign="top"></td><td valign="top"><em>w</em>&nbsp;</td><td>weight of updating; can be negative</td></tr> 
    229213  </table> 
     214  </dd> 
    230215</dl> 
    231 BLAS-2b operation.  
    232 <p>Implemented in <a class="el" href="classbdm_1_1chmat.html#bea30d9ae395363e5aef36f6359b15fd">bdm::chmat</a>, <a class="el" href="classbdm_1_1fsqmat.html#a41b3686a77d1f9657b6942b01cfd8be">bdm::fsqmat</a>, and <a class="el" href="classbdm_1_1ldmat.html#c9dc3f1f86d36ec7eedb8746eb2c3b5c">bdm::ldmat</a>.</p> 
    233  
    234 </div> 
    235 </div><p> 
    236 <a class="anchor" name="608bfff59854833f1acfccdbd346832a"></a><!-- doxytag: member="bdm::sqmat::sqrt_mult" ref="608bfff59854833f1acfccdbd346832a" args="(const vec &amp;v) const =0" --> 
    237 <div class="memitem"> 
    238 <div class="memproto"> 
    239       <table class="memname"> 
    240         <tr> 
    241           <td class="memname">virtual vec bdm::sqmat::sqrt_mult           </td> 
     216<p>BLAS-2b operation. </p> 
     217 
     218<p>Implemented in <a class="el" href="classbdm_1_1chmat.html#abea30d9ae395363e5aef36f6359b15fd">bdm::chmat</a>, <a class="el" href="classbdm_1_1fsqmat.html#aa41b3686a77d1f9657b6942b01cfd8be">bdm::fsqmat</a>, and <a class="el" href="classbdm_1_1ldmat.html#ac9dc3f1f86d36ec7eedb8746eb2c3b5c">bdm::ldmat</a>.</p> 
     219 
     220</div> 
     221</div> 
     222<a class="anchor" id="a608bfff59854833f1acfccdbd346832a"></a><!-- doxytag: member="bdm::sqmat::sqrt_mult" ref="a608bfff59854833f1acfccdbd346832a" args="(const vec &amp;v) const =0" --> 
     223<div class="memitem"> 
     224<div class="memproto"> 
     225      <table class="memname"> 
     226        <tr> 
     227          <td class="memname">virtual vec bdm::sqmat::sqrt_mult </td> 
    242228          <td>(</td> 
    243229          <td class="paramtype">const vec &amp;&nbsp;</td> 
    244           <td class="paramname"> <em>v</em>          </td> 
     230          <td class="paramname"> <em>v</em></td> 
    245231          <td>&nbsp;)&nbsp;</td> 
    246232          <td> const<code> [pure virtual]</code></td> 
    … …  
    250236<div class="memdoc"> 
    251237 
    252 <p> 
    253 Multiplies square <a class="el" href="classbdm_1_1root.html" title="Root class of BDM objects.">root</a> of <img class="formulaInl" alt="$V$" src="form_55.png"> by vector <img class="formulaInl" alt="$x$" src="form_1.png">.  
    254 <p> 
    255 Used e.g. in generating normal samples.  
    256 <p>Implemented in <a class="el" href="classbdm_1_1chmat.html#ec8d3a1cbf3b50183f246a858663c92d">bdm::chmat</a>, <a class="el" href="classbdm_1_1fsqmat.html#ab240f84ea1685bc95df0446f948abfd">bdm::fsqmat</a>, and <a class="el" href="classbdm_1_1ldmat.html#2c670269c0ee397eb49ba7b0712e16a5">bdm::ldmat</a>.</p> 
    257  
    258 </div> 
    259 </div><p> 
    260 <hr>The documentation for this class was generated from the following file:<ul> 
    261 <li><a class="el" href="square__mat_8h-source.html">square_mat.h</a></ul> 
    262 </div> 
    263 <hr size="1"><address style="text-align: right;"><small>Generated on Sat Aug 29 20:49:46 2009 for mixpp by&nbsp; 
     238<p>Multiplies square <a class="el" href="classbdm_1_1root.html" title="Root class of BDM objects.">root</a> of <img class="formulaInl" alt="$V$" src="form_55.png"/> by vector <img class="formulaInl" alt="$x$" src="form_1.png"/>. </p> 
     239<p>Used e.g. in generating normal samples. </p> 
     240 
     241<p>Implemented in <a class="el" href="classbdm_1_1chmat.html#aec8d3a1cbf3b50183f246a858663c92d">bdm::chmat</a>, <a class="el" href="classbdm_1_1fsqmat.html#aab240f84ea1685bc95df0446f948abfd">bdm::fsqmat</a>, and <a class="el" href="classbdm_1_1ldmat.html#a2c670269c0ee397eb49ba7b0712e16a5">bdm::ldmat</a>.</p> 
     242 
     243</div> 
     244</div> 
     245<hr/>The documentation for this class was generated from the following file:<ul> 
     246<li><a class="el" href="square__mat_8h_source.html">square_mat.h</a></li> 
     247</ul> 
     248</div> 
     249<hr size="1"/><address style="text-align: right;"><small>Generated on Sun Aug 30 22:10:50 2009 for mixpp by&nbsp; 
    264250<a href="http://www.doxygen.org/index.html"> 
    265 <img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.8 </small></address> 
     251<img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.6.1 </small></address> 
    266252</body> 
    267253</html>