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    53<title>mixpp: bdm::sqmat Class Reference</title> 
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    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 <hr/><a name="_details"></a><h2>Detailed Description</h2> 
    77 <p>Abstract class for representation of double symmetric matrices in square-root form. </p> 
    78 <p>All operations defined on this class should be optimized for the chosen decomposition. </p> 
    79  
    80 <p><code>#include &lt;<a class="el" href="square__mat_8h_source.html">square_mat.h</a>&gt;</code></p> 
    81  
    82 <p><a href="classbdm_1_1sqmat-members.html">List of all members.</a></p> 
    83 <table border="0" cellpadding="0" cellspacing="0"> 
    84 <tr><td colspan="2"><h2>Public Member Functions</h2></td></tr> 
    85 <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#a12298b1cc5a6f35876291e876b0e2993">opupdt</a> (const vec &amp;v, double w)</td></tr> 
    86 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a68888112cf70681c1c7a0231a631dc76"></a><!-- doxytag: member="bdm::sqmat::to_mat" ref="a68888112cf70681c1c7a0231a631dc76" args="() const " --> 
    87 virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a68888112cf70681c1c7a0231a631dc76">to_mat</a> () const </td></tr> 
    88 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Conversion to full matrix. <br/></td></tr> 
    89 <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#af8b513b6ac0e54d6fe47afda8b254b29">mult_sym</a> (const mat &amp;C)</td></tr> 
    90 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Inplace symmetric multiplication by a SQUARE matrix <img class="formulaInl" alt="$C$" src="form_60.png"/>, i.e. <img class="formulaInl" alt="$V = C*V*C'$" src="form_61.png"/>.  <a href="#af8b513b6ac0e54d6fe47afda8b254b29"></a><br/></td></tr> 
    91 <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#aba45b96855264178ab67648bbc7cead5">mult_sym_t</a> (const mat &amp;C)</td></tr> 
    92 <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_60.png"/>, i.e. <img class="formulaInl" alt="$V = C'*V*C$" src="form_62.png"/>.  <a href="#aba45b96855264178ab67648bbc7cead5"></a><br/></td></tr> 
    93 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ae770665dd7362ffd0f2043642f9958d3"></a><!-- doxytag: member="bdm::sqmat::logdet" ref="ae770665dd7362ffd0f2043642f9958d3" args="() const " --> 
    94 virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#ae770665dd7362ffd0f2043642f9958d3">logdet</a> () const </td></tr> 
    95 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Logarithm of a determinant. <br/></td></tr> 
    96 <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#abcacd85ec5d128ebbb663ae4433c75b3">sqrt_mult</a> (const vec &amp;v) const </td></tr> 
    97 <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_63.png"/> by vector <img class="formulaInl" alt="$x$" src="form_1.png"/>.  <a href="#abcacd85ec5d128ebbb663ae4433c75b3"></a><br/></td></tr> 
    98 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a0fad0f3844a0bbbf5b5b68c43fea0d12"></a><!-- doxytag: member="bdm::sqmat::qform" ref="a0fad0f3844a0bbbf5b5b68c43fea0d12" args="(const vec &amp;v) const " --> 
    99 virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a0fad0f3844a0bbbf5b5b68c43fea0d12">qform</a> (const vec &amp;v) const </td></tr> 
    100 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates quadratic form <img class="formulaInl" alt="$x= v'*V*v$" src="form_64.png"/>;. <br/></td></tr> 
    101 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a022d2e2c128f3024b6f8c4bcf28dcfdd"></a><!-- doxytag: member="bdm::sqmat::invqform" ref="a022d2e2c128f3024b6f8c4bcf28dcfdd" args="(const vec &amp;v) const " --> 
    102 virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a022d2e2c128f3024b6f8c4bcf28dcfdd">invqform</a> (const vec &amp;v) const </td></tr> 
    103 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Evaluates quadratic form <img class="formulaInl" alt="$x= v'*inv(V)*v$" src="form_65.png"/>;. <br/></td></tr> 
    104 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a9d2ab703ff24a6ece1c10b8e24015e72"></a><!-- doxytag: member="bdm::sqmat::clear" ref="a9d2ab703ff24a6ece1c10b8e24015e72" args="()" --> 
    105 virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a9d2ab703ff24a6ece1c10b8e24015e72">clear</a> ()</td></tr> 
    106 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Clearing matrix so that it corresponds to zeros. <br/></td></tr> 
    107 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a445ef762cf5d2d6cfdf53c72942363cf"></a><!-- doxytag: member="bdm::sqmat::cols" ref="a445ef762cf5d2d6cfdf53c72942363cf" args="() const " --> 
    108 int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a445ef762cf5d2d6cfdf53c72942363cf">cols</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#a445ef762cf5d2d6cfdf53c72942363cf" title="Reimplementing common functions of mat: cols().">cols()</a>. <br/></td></tr> 
    110 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a73e639221343dcce76c3305524d67590"></a><!-- doxytag: member="bdm::sqmat::rows" ref="a73e639221343dcce76c3305524d67590" args="() const " --> 
    111 int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a73e639221343dcce76c3305524d67590">rows</a> () const </td></tr> 
    112 <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> 
    113 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a33a9a1ec2f66b6c1e3081e5e65c36d0e"></a><!-- doxytag: member="bdm::sqmat::~sqmat" ref="a33a9a1ec2f66b6c1e3081e5e65c36d0e" args="()" --> 
    114 virtual&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a33a9a1ec2f66b6c1e3081e5e65c36d0e">~sqmat</a> ()</td></tr> 
    115 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Destructor for future use;. <br/></td></tr> 
    116 <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)" --> 
    117 &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a3d304dccc155638c6d435cd1c0611dfc">sqmat</a> (const int dim0)</td></tr> 
    118 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default constructor. <br/></td></tr> 
    119 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a3051f1734d36cce6c58c799fdd4451bb"></a><!-- doxytag: member="bdm::sqmat::sqmat" ref="a3051f1734d36cce6c58c799fdd4451bb" args="()" --> 
    120 &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a3051f1734d36cce6c58c799fdd4451bb">sqmat</a> ()</td></tr> 
    121 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Default constructor. <br/></td></tr> 
    122 <tr><td colspan="2"><h2>Protected Attributes</h2></td></tr> 
    123 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a05111b5744a494880e62cb0f3d42293f"></a><!-- doxytag: member="bdm::sqmat::dim" ref="a05111b5744a494880e62cb0f3d42293f" args="" --> 
    124 int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a05111b5744a494880e62cb0f3d42293f">dim</a></td></tr> 
    125 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">dimension of the square matrix <br/></td></tr> 
     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#12298b1cc5a6f35876291e876b0e2993">opupdt</a> (const vec &amp;v, double w)</td></tr> 
     81 
     82<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="68888112cf70681c1c7a0231a631dc76"></a><!-- doxytag: member="bdm::sqmat::to_mat" ref="68888112cf70681c1c7a0231a631dc76" args="() const " --> 
     83virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#68888112cf70681c1c7a0231a631dc76">to_mat</a> () const </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#f8b513b6ac0e54d6fe47afda8b254b29">mult_sym</a> (const mat &amp;C)</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_60.png">, i.e. <img class="formulaInl" alt="$V = C*V*C'$" src="form_61.png">.  <a href="#f8b513b6ac0e54d6fe47afda8b254b29"></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#ba45b96855264178ab67648bbc7cead5">mult_sym_t</a> (const mat &amp;C)</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_60.png">, i.e. <img class="formulaInl" alt="$V = C'*V*C$" src="form_62.png">.  <a href="#ba45b96855264178ab67648bbc7cead5"></a><br></td></tr> 
     92<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e770665dd7362ffd0f2043642f9958d3"></a><!-- doxytag: member="bdm::sqmat::logdet" ref="e770665dd7362ffd0f2043642f9958d3" args="() const " --> 
     93virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#e770665dd7362ffd0f2043642f9958d3">logdet</a> () const </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#bcacd85ec5d128ebbb663ae4433c75b3">sqrt_mult</a> (const vec &amp;v) const </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_63.png"> by vector <img class="formulaInl" alt="$x$" src="form_1.png">.  <a href="#bcacd85ec5d128ebbb663ae4433c75b3"></a><br></td></tr> 
     99<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0fad0f3844a0bbbf5b5b68c43fea0d12"></a><!-- doxytag: member="bdm::sqmat::qform" ref="0fad0f3844a0bbbf5b5b68c43fea0d12" args="(const vec &amp;v) const " --> 
     100virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#0fad0f3844a0bbbf5b5b68c43fea0d12">qform</a> (const vec &amp;v) const </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_64.png">;. <br></td></tr> 
     103<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="022d2e2c128f3024b6f8c4bcf28dcfdd"></a><!-- doxytag: member="bdm::sqmat::invqform" ref="022d2e2c128f3024b6f8c4bcf28dcfdd" args="(const vec &amp;v) const " --> 
     104virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#022d2e2c128f3024b6f8c4bcf28dcfdd">invqform</a> (const vec &amp;v) const </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_65.png">;. <br></td></tr> 
     107<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="9d2ab703ff24a6ece1c10b8e24015e72"></a><!-- doxytag: member="bdm::sqmat::clear" ref="9d2ab703ff24a6ece1c10b8e24015e72" args="()" --> 
     108virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#9d2ab703ff24a6ece1c10b8e24015e72">clear</a> ()</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 " --> 
     112int&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 " --> 
     116int&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="()" --> 
     120virtual&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="" --> 
     133int&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> 
    126136</table> 
    127 <hr/><h2>Member Function Documentation</h2> 
    128 <a class="anchor" id="af8b513b6ac0e54d6fe47afda8b254b29"></a><!-- doxytag: member="bdm::sqmat::mult_sym" ref="af8b513b6ac0e54d6fe47afda8b254b29" args="(const mat &amp;C)" --> 
    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> 
     137<hr><a name="_details"></a><h2>Detailed Description</h2> 
     138Abstract class for representation of double symmetric matrices in square-root form.  
     139<p> 
     140All operations defined on this class should be optimized for the chosen decomposition. <hr><h2>Member Function Documentation</h2> 
     141<a class="anchor" name="f8b513b6ac0e54d6fe47afda8b254b29"></a><!-- doxytag: member="bdm::sqmat::mult_sym" ref="f8b513b6ac0e54d6fe47afda8b254b29" args="(const mat &amp;C)" --> 
     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> 
    134147          <td>(</td> 
    135148          <td class="paramtype">const mat &amp;&nbsp;</td> 
    136           <td class="paramname"> <em>C</em></td> 
     149          <td class="paramname"> <em>C</em>          </td> 
    137150          <td>&nbsp;)&nbsp;</td> 
    138151          <td><code> [inline, virtual]</code></td> 
    … …  
    142155<div class="memdoc"> 
    143156 
    144 <p>Inplace symmetric multiplication by a SQUARE matrix <img class="formulaInl" alt="$C$" src="form_60.png"/>, i.e. <img class="formulaInl" alt="$V = C*V*C'$" src="form_61.png"/>. </p> 
    145 <dl><dt><b>Parameters:</b></dt><dd> 
     157<p> 
     158Inplace symmetric multiplication by a SQUARE matrix <img class="formulaInl" alt="$C$" src="form_60.png">, i.e. <img class="formulaInl" alt="$V = C*V*C'$" src="form_61.png">.  
     159<p> 
     160<dl compact><dt><b>Parameters:</b></dt><dd> 
    146161  <table border="0" cellspacing="2" cellpadding="0"> 
    147162    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>multiplying matrix, </td></tr> 
    148163  </table> 
    149   </dd> 
    150164</dl> 
    151165 
    152 <p>Reimplemented 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 <p>References <a class="el" href="bdmerror_8h_source.html#l00051">bdm_error</a>.</p> 
    155  
    156 </div> 
    157 </div> 
    158 <a class="anchor" id="aba45b96855264178ab67648bbc7cead5"></a><!-- doxytag: member="bdm::sqmat::mult_sym_t" ref="aba45b96855264178ab67648bbc7cead5" args="(const mat &amp;C)" --> 
    159 <div class="memitem"> 
    160 <div class="memproto"> 
    161       <table class="memname"> 
    162         <tr> 
    163           <td class="memname">virtual void bdm::sqmat::mult_sym_t </td> 
     166<p>Reimplemented 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<p>References <a class="el" href="bdmerror_8h_source.html#l00051">bdm_error</a>.</p> 
     169 
     170</div> 
     171</div><p> 
     172<a class="anchor" name="ba45b96855264178ab67648bbc7cead5"></a><!-- doxytag: member="bdm::sqmat::mult_sym_t" ref="ba45b96855264178ab67648bbc7cead5" args="(const mat &amp;C)" --> 
     173<div class="memitem"> 
     174<div class="memproto"> 
     175      <table class="memname"> 
     176        <tr> 
     177          <td class="memname">virtual void bdm::sqmat::mult_sym_t           </td> 
    164178          <td>(</td> 
    165179          <td class="paramtype">const mat &amp;&nbsp;</td> 
    166           <td class="paramname"> <em>C</em></td> 
     180          <td class="paramname"> <em>C</em>          </td> 
    167181          <td>&nbsp;)&nbsp;</td> 
    168182          <td><code> [inline, virtual]</code></td> 
    … …  
    172186<div class="memdoc"> 
    173187 
    174 <p>Inplace symmetric multiplication by a SQUARE transpose of matrix <img class="formulaInl" alt="$C$" src="form_60.png"/>, i.e. <img class="formulaInl" alt="$V = C'*V*C$" src="form_62.png"/>. </p> 
    175 <dl><dt><b>Parameters:</b></dt><dd> 
     188<p> 
     189Inplace symmetric multiplication by a SQUARE transpose of matrix <img class="formulaInl" alt="$C$" src="form_60.png">, i.e. <img class="formulaInl" alt="$V = C'*V*C$" src="form_62.png">.  
     190<p> 
     191<dl compact><dt><b>Parameters:</b></dt><dd> 
    176192  <table border="0" cellspacing="2" cellpadding="0"> 
    177193    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>multiplying matrix, </td></tr> 
    178194  </table> 
    179   </dd> 
    180195</dl> 
    181196 
    182 <p>Reimplemented 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> 
    183  
    184 <p>References <a class="el" href="bdmerror_8h_source.html#l00051">bdm_error</a>.</p> 
    185  
    186 </div> 
    187 </div> 
    188 <a class="anchor" id="a12298b1cc5a6f35876291e876b0e2993"></a><!-- doxytag: member="bdm::sqmat::opupdt" ref="a12298b1cc5a6f35876291e876b0e2993" args="(const vec &amp;v, double w)" --> 
    189 <div class="memitem"> 
    190 <div class="memproto"> 
    191       <table class="memname"> 
    192         <tr> 
    193           <td class="memname">virtual void bdm::sqmat::opupdt </td> 
     197<p>Reimplemented 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> 
     198 
     199<p>References <a class="el" href="bdmerror_8h_source.html#l00051">bdm_error</a>.</p> 
     200 
     201</div> 
     202</div><p> 
     203<a class="anchor" name="12298b1cc5a6f35876291e876b0e2993"></a><!-- doxytag: member="bdm::sqmat::opupdt" ref="12298b1cc5a6f35876291e876b0e2993" args="(const vec &amp;v, double w)" --> 
     204<div class="memitem"> 
     205<div class="memproto"> 
     206      <table class="memname"> 
     207        <tr> 
     208          <td class="memname">virtual void bdm::sqmat::opupdt           </td> 
    194209          <td>(</td> 
    195210          <td class="paramtype">const vec &amp;&nbsp;</td> 
    … …  
    210225</div> 
    211226<div class="memdoc"> 
    212 <p>Perfroms a rank-1 update by outer product of vectors: <img class="formulaInl" alt="$V = V + w v v'$" src="form_59.png"/>. </p> 
    213 <dl><dt><b>Parameters:</b></dt><dd> 
     227 
     228<p> 
     229Perfroms a rank-1 update by outer product of vectors: <img class="formulaInl" alt="$V = V + w v v'$" src="form_59.png">. <dl compact><dt><b>Parameters:</b></dt><dd> 
    214230  <table border="0" cellspacing="2" cellpadding="0"> 
    215231    <tr><td valign="top"></td><td valign="top"><em>v</em>&nbsp;</td><td>Vector forming the outer product to be added </td></tr> 
    216232    <tr><td valign="top"></td><td valign="top"><em>w</em>&nbsp;</td><td>weight of updating; can be negative</td></tr> 
    217233  </table> 
    218   </dd> 
    219234</dl> 
    220 <p>BLAS-2b operation. </p> 
    221  
    222 <p>Reimplemented 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> 
    223  
    224 <p>References <a class="el" href="bdmerror_8h_source.html#l00051">bdm_error</a>.</p> 
    225  
    226 </div> 
    227 </div> 
    228 <a class="anchor" id="abcacd85ec5d128ebbb663ae4433c75b3"></a><!-- doxytag: member="bdm::sqmat::sqrt_mult" ref="abcacd85ec5d128ebbb663ae4433c75b3" args="(const vec &amp;v) const " --> 
    229 <div class="memitem"> 
    230 <div class="memproto"> 
    231       <table class="memname"> 
    232         <tr> 
    233           <td class="memname">virtual vec bdm::sqmat::sqrt_mult </td> 
     235BLAS-2b operation.  
     236<p>Reimplemented 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> 
     237 
     238<p>References <a class="el" href="bdmerror_8h_source.html#l00051">bdm_error</a>.</p> 
     239 
     240</div> 
     241</div><p> 
     242<a class="anchor" name="bcacd85ec5d128ebbb663ae4433c75b3"></a><!-- doxytag: member="bdm::sqmat::sqrt_mult" ref="bcacd85ec5d128ebbb663ae4433c75b3" args="(const vec &amp;v) const " --> 
     243<div class="memitem"> 
     244<div class="memproto"> 
     245      <table class="memname"> 
     246        <tr> 
     247          <td class="memname">virtual vec bdm::sqmat::sqrt_mult           </td> 
    234248          <td>(</td> 
    235249          <td class="paramtype">const vec &amp;&nbsp;</td> 
    236           <td class="paramname"> <em>v</em></td> 
     250          <td class="paramname"> <em>v</em>          </td> 
    237251          <td>&nbsp;)&nbsp;</td> 
    238252          <td> const<code> [inline, virtual]</code></td> 
    … …  
    242256<div class="memdoc"> 
    243257 
    244 <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_63.png"/> by vector <img class="formulaInl" alt="$x$" src="form_1.png"/>. </p> 
    245 <p>Used e.g. in generating normal samples. </p> 
    246  
    247 <p>Reimplemented 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> 
    248  
    249 <p>References <a class="el" href="bdmerror_8h_source.html#l00051">bdm_error</a>.</p> 
    250  
    251 </div> 
    252 </div> 
    253 <hr/>The documentation for this class was generated from the following file:<ul> 
    254 <li><a class="el" href="square__mat_8h_source.html">square_mat.h</a></li> 
    255 </ul> 
    256 </div> 
    257 <hr size="1"/><address style="text-align: right;"><small>Generated on Sun Sep 27 00:49:06 2009 for mixpp by&nbsp; 
     258<p> 
     259Multiplies 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_63.png"> by vector <img class="formulaInl" alt="$x$" src="form_1.png">.  
     260<p> 
     261Used e.g. in generating normal samples.  
     262<p>Reimplemented 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> 
     263 
     264<p>References <a class="el" href="bdmerror_8h_source.html#l00051">bdm_error</a>.</p> 
     265 
     266</div> 
     267</div><p> 
     268<hr>The documentation for this class was generated from the following file:<ul> 
     269<li><a class="el" href="square__mat_8h_source.html">square_mat.h</a></ul> 
     270</div> 
     271<hr size="1"><address style="text-align: right;"><small>Generated on Wed Oct 7 17:34:47 2009 for mixpp by&nbsp; 
    258272<a href="http://www.doxygen.org/index.html"> 
    259 <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.6.1 </small></address> 
     273<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.9 </small></address> 
    260274</body> 
    261275</html>