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03/06/09 15:03:45 (15 years ago)
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smidl
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correction of ARX tutorial

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  • doc/html/classldmat.html

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    22<html><head><meta http-equiv="Content-Type" content="text/html;charset=UTF-8"> 
    33<title>mixpp: ldmat Class Reference</title> 
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    55       <li class="current"><a href="classes.html"><span>Classes</span></a></li> 
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    6261      <li><a href="annotated.html"><span>Class&nbsp;List</span></a></li> 
     62      <li><a href="classes.html"><span>Class&nbsp;Index</span></a></li> 
    6363      <li><a href="hierarchy.html"><span>Class&nbsp;Hierarchy</span></a></li> 
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    … …  
    7070<small> 
    7171[<a class="el" href="group__math.html">Auxiliary math functions</a>]</small> 
    72 </h1><!-- doxytag: class="ldmat" --><!-- doxytag: inherits="sqmat" --><code>#include &lt;<a class="el" href="libDC_8h-source.html">libDC.h</a>&gt;</code> 
    73 <p> 
    74 <div class="dynheader"> 
    75 Inheritance diagram for ldmat:</div> 
    76 <div class="dynsection"> 
    77  
    78 <p><center><img src="classldmat.png" usemap="#ldmat_map" border="0" alt=""></center> 
    79 <map name="ldmat_map"> 
    80 <area href="classsqmat.html" alt="sqmat" shape="rect" coords="0,0,43,24"> 
    81 </map> 
    82 </div> 
    83  
    84 <p> 
    85 <a href="classldmat-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2> 
    86 Matrix stored in LD form, (commonly known as UD).  
    87 <p> 
    88 Matrix is decomposed as follows: <p class="formulaDsp"> 
    89 <img class="formulaDsp" alt="\[M = L'DL\]" src="form_20.png"> 
    90 <p> 
    91  where only <img class="formulaInl" alt="$L$" src="form_21.png"> and <img class="formulaInl" alt="$D$" src="form_22.png"> matrices are stored. All inplace operations modifies only these and the need to compose and decompose the matrix is avoided. <table border="0" cellpadding="0" cellspacing="0"> 
     72</h1><!-- doxytag: class="ldmat" --><!-- doxytag: inherits="sqmat" -->Matrix stored in LD form, (commonly known as UD).   
     73<a href="#_details">More...</a> 
     74<p> 
     75<code>#include &lt;<a class="el" href="libDC_8h-source.html">libDC.h</a>&gt;</code> 
     76<p> 
     77 
     78<p> 
     79<a href="classldmat-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0"> 
    9280<tr><td></td></tr> 
    9381<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr> 
    … …  
    214202 
    215203<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Lower-triangular matrix <img class="formulaInl" alt="$L$" src="form_21.png">. <br></td></tr> 
     204<tr><td colspan="2"><br><h2>Private Attributes</h2></td></tr> 
     205<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0abed904bdc0882373ba9adba919689d"></a><!-- doxytag: member="ldmat::dim" ref="0abed904bdc0882373ba9adba919689d" args="" --> 
     206int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsqmat.html#0abed904bdc0882373ba9adba919689d">dim</a></td></tr> 
     207 
     208<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">dimension of the square matrix <br></td></tr> 
    216209<tr><td colspan="2"><br><h2>Friends</h2></td></tr> 
    217210<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="eaaa0baa6026b84cfcbced41c84599d1"></a><!-- doxytag: member="ldmat::operator&lt;&lt;" ref="eaaa0baa6026b84cfcbced41c84599d1" args="(std::ostream &amp;os, const ldmat &amp;sq)" --> 
    … …  
    220213<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">print both <code>L</code> and <code>D</code> <br></td></tr> 
    221214</table> 
    222 <hr><h2>Member Function Documentation</h2> 
    223 <a class="anchor" name="0f0f6e083e6d947cf58097ffce3ccd1a"></a><!-- doxytag: member="ldmat::opupdt" ref="0f0f6e083e6d947cf58097ffce3ccd1a" args="(const vec &amp;v, double w)" --> 
    224 <div class="memitem"> 
    225 <div class="memproto"> 
    226       <table class="memname"> 
    227         <tr> 
    228           <td class="memname">void ldmat::opupdt           </td> 
    229           <td>(</td> 
     215<hr><a name="_details"></a><h2>Detailed Description</h2> 
     216Matrix stored in LD form, (commonly known as UD).  
     217<p> 
     218Matrix is decomposed as follows: <p class="formulaDsp"> 
     219<img class="formulaDsp" alt="\[M = L'DL\]" src="form_20.png"> 
     220<p> 
     221 where only <img class="formulaInl" alt="$L$" src="form_21.png"> and <img class="formulaInl" alt="$D$" src="form_22.png"> matrices are stored. All inplace operations modifies only these and the need to compose and decompose the matrix is avoided. <hr><h2>Member Function Documentation</h2> 
     222<a class="anchor" name="2c160cb123c1102face7a50ec566a031"></a><!-- doxytag: member="ldmat::inv" ref="2c160cb123c1102face7a50ec566a031" args="(ldmat &amp;Inv) const " --> 
     223<div class="memitem"> 
     224<div class="memproto"> 
     225      <table class="memname"> 
     226        <tr> 
     227          <td class="memname">void ldmat::inv           </td> 
     228          <td>(</td> 
     229          <td class="paramtype"><a class="el" href="classldmat.html">ldmat</a> &amp;&nbsp;</td> 
     230          <td class="paramname"> <em>Inv</em>          </td> 
     231          <td>&nbsp;)&nbsp;</td> 
     232          <td> const<code> [virtual]</code></td> 
     233        </tr> 
     234      </table> 
     235</div> 
     236<div class="memdoc"> 
     237 
     238<p> 
     239Matrix inversion preserving the chosen form.  
     240<p> 
     241<dl compact><dt><b>Parameters:</b></dt><dd> 
     242  <table border="0" cellspacing="2" cellpadding="0"> 
     243    <tr><td valign="top"></td><td valign="top"><em>Inv</em>&nbsp;</td><td>a space where the inverse is stored. </td></tr> 
     244  </table> 
     245</dl> 
     246 
     247<p>References <a class="el" href="libDC_8cpp-source.html#l00116">clear()</a>, <a class="el" href="libDC_8h-source.html#l00275">D</a>, <a class="el" href="libDC_8h-source.html#l00277">L</a>, <a class="el" href="libDC_8cpp-source.html#l00200">ldform()</a>, and <a class="el" href="libDC_8cpp-source.html#l00298">ltuinv()</a>.</p> 
     248 
     249<p>Referenced by <a class="el" href="libEF_8cpp-source.html#l00090">bdm::egiw::variance()</a>.</p> 
     250 
     251</div> 
     252</div><p> 
     253<a class="anchor" name="f291faa073e7bc8dfafc7ae93daa2506"></a><!-- doxytag: member="ldmat::ldform" ref="f291faa073e7bc8dfafc7ae93daa2506" args="(const mat &amp;A, const vec &amp;D0)" --> 
     254<div class="memitem"> 
     255<div class="memproto"> 
     256      <table class="memname"> 
     257        <tr> 
     258          <td class="memname">void ldmat::ldform           </td> 
     259          <td>(</td> 
     260          <td class="paramtype">const mat &amp;&nbsp;</td> 
     261          <td class="paramname"> <em>A</em>, </td> 
     262        </tr> 
     263        <tr> 
     264          <td class="paramkey"></td> 
     265          <td></td> 
    230266          <td class="paramtype">const vec &amp;&nbsp;</td> 
    231           <td class="paramname"> <em>v</em>, </td> 
     267          <td class="paramname"> <em>D0</em></td><td>&nbsp;</td> 
     268        </tr> 
     269        <tr> 
     270          <td></td> 
     271          <td>)</td> 
     272          <td></td><td></td><td></td> 
     273        </tr> 
     274      </table> 
     275</div> 
     276<div class="memdoc"> 
     277 
     278<p> 
     279Transforms general <img class="formulaInl" alt="$A'D0 A$" src="form_32.png"> into pure <img class="formulaInl" alt="$L'DL$" src="form_33.png">.  
     280<p> 
     281The new decomposition fullfills: <img class="formulaInl" alt="$A'*diag(D)*A = self.L'*diag(self.D)*self.L$" src="form_34.png"> <dl compact><dt><b>Parameters:</b></dt><dd> 
     282  <table border="0" cellspacing="2" cellpadding="0"> 
     283    <tr><td valign="top"></td><td valign="top"><em>A</em>&nbsp;</td><td>general matrix </td></tr> 
     284    <tr><td valign="top"></td><td valign="top"><em>D0</em>&nbsp;</td><td>general vector </td></tr> 
     285  </table> 
     286</dl> 
     287 
     288<p>References <a class="el" href="libDC_8h-source.html#l00275">D</a>, <a class="el" href="libDC_8h-source.html#l00107">sqmat::dim</a>, and <a class="el" href="libDC_8h-source.html#l00277">L</a>.</p> 
     289 
     290<p>Referenced by <a class="el" href="libDC_8cpp-source.html#l00118">inv()</a>, <a class="el" href="libDC_8cpp-source.html#l00046">ldmat()</a>, <a class="el" href="libDC_8cpp-source.html#l00125">mult_sym()</a>, and <a class="el" href="libDC_8cpp-source.html#l00130">mult_sym_t()</a>.</p> 
     291 
     292</div> 
     293</div><p> 
     294<a class="anchor" name="e7207748909325bb0f99b43f090a2b7e"></a><!-- doxytag: member="ldmat::mult_sym" ref="e7207748909325bb0f99b43f090a2b7e" args="(const mat &amp;C, ldmat &amp;U) const " --> 
     295<div class="memitem"> 
     296<div class="memproto"> 
     297      <table class="memname"> 
     298        <tr> 
     299          <td class="memname">void ldmat::mult_sym           </td> 
     300          <td>(</td> 
     301          <td class="paramtype">const mat &amp;&nbsp;</td> 
     302          <td class="paramname"> <em>C</em>, </td> 
    232303        </tr> 
    233304        <tr> 
    234305          <td class="paramkey"></td> 
    235306          <td></td> 
    236           <td class="paramtype">double&nbsp;</td> 
    237           <td class="paramname"> <em>w</em></td><td>&nbsp;</td> 
     307          <td class="paramtype"><a class="el" href="classldmat.html">ldmat</a> &amp;&nbsp;</td> 
     308          <td class="paramname"> <em>U</em></td><td>&nbsp;</td> 
    238309        </tr> 
    239310        <tr> 
    240311          <td></td> 
    241312          <td>)</td> 
    242           <td></td><td></td><td><code> [virtual]</code></td> 
    243         </tr> 
    244       </table> 
    245 </div> 
    246 <div class="memdoc"> 
    247  
    248 <p> 
    249 Perfroms 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> 
    250   <table border="0" cellspacing="2" cellpadding="0"> 
    251     <tr><td valign="top"></td><td valign="top"><em>v</em>&nbsp;</td><td>Vector forming the outer product to be added </td></tr> 
    252     <tr><td valign="top"></td><td valign="top"><em>w</em>&nbsp;</td><td>weight of updating; can be negative</td></tr> 
    253   </table> 
    254 </dl> 
    255 BLAS-2b operation.  
    256 <p>Implements <a class="el" href="classsqmat.html#b223484796661f2dadb5607a86ce0581">sqmat</a>.</p> 
    257  
    258 <p>References <a class="el" href="libDC_8h-source.html#l00275">D</a>, <a class="el" href="libDC_8h-source.html#l00107">sqmat::dim</a>, <a class="el" href="libDC_8cpp-source.html#l00319">dydr()</a>, and <a class="el" href="libDC_8h-source.html#l00277">L</a>.</p> 
    259  
    260 <p>Referenced by <a class="el" href="libDC_8cpp-source.html#l00104">add()</a>, <a class="el" href="bdm_2estim_2arx_8cpp-source.html#l00005">bdm::ARX::bayes()</a>, and <a class="el" href="bdm_2estim_2arx_8cpp-source.html#l00025">bdm::ARX::logpred()</a>.</p> 
     313          <td></td><td></td><td> const</td> 
     314        </tr> 
     315      </table> 
     316</div> 
     317<div class="memdoc"> 
     318 
     319<p> 
     320Symmetric multiplication of <img class="formulaInl" alt="$U$" src="form_31.png"> by a general matrix <img class="formulaInl" alt="$C$" src="form_24.png">, result of which is stored in the current class.  
     321<p> 
     322<dl compact><dt><b>Parameters:</b></dt><dd> 
     323  <table border="0" cellspacing="2" cellpadding="0"> 
     324    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>matrix to multiply with </td></tr> 
     325    <tr><td valign="top"></td><td valign="top"><em>U</em>&nbsp;</td><td>a space where the inverse is stored. </td></tr> 
     326  </table> 
     327</dl> 
     328 
     329<p>References <a class="el" href="libDC_8h-source.html#l00275">D</a>, <a class="el" href="libDC_8h-source.html#l00277">L</a>, and <a class="el" href="libDC_8cpp-source.html#l00200">ldform()</a>.</p> 
    261330 
    262331</div> 
    … …  
    293362</div> 
    294363</div><p> 
     364<a class="anchor" name="f94dc3a233f3d40fc853d8d4ac3b8eab"></a><!-- doxytag: member="ldmat::mult_sym_t" ref="f94dc3a233f3d40fc853d8d4ac3b8eab" args="(const mat &amp;C, ldmat &amp;U) const " --> 
     365<div class="memitem"> 
     366<div class="memproto"> 
     367      <table class="memname"> 
     368        <tr> 
     369          <td class="memname">void ldmat::mult_sym_t           </td> 
     370          <td>(</td> 
     371          <td class="paramtype">const mat &amp;&nbsp;</td> 
     372          <td class="paramname"> <em>C</em>, </td> 
     373        </tr> 
     374        <tr> 
     375          <td class="paramkey"></td> 
     376          <td></td> 
     377          <td class="paramtype"><a class="el" href="classldmat.html">ldmat</a> &amp;&nbsp;</td> 
     378          <td class="paramname"> <em>U</em></td><td>&nbsp;</td> 
     379        </tr> 
     380        <tr> 
     381          <td></td> 
     382          <td>)</td> 
     383          <td></td><td></td><td> const</td> 
     384        </tr> 
     385      </table> 
     386</div> 
     387<div class="memdoc"> 
     388 
     389<p> 
     390Symmetric multiplication of <img class="formulaInl" alt="$U$" src="form_31.png"> by a transpose of a general matrix <img class="formulaInl" alt="$C$" src="form_24.png">, result of which is stored in the current class.  
     391<p> 
     392<dl compact><dt><b>Parameters:</b></dt><dd> 
     393  <table border="0" cellspacing="2" cellpadding="0"> 
     394    <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>matrix to multiply with </td></tr> 
     395    <tr><td valign="top"></td><td valign="top"><em>U</em>&nbsp;</td><td>a space where the inverse is stored. </td></tr> 
     396  </table> 
     397</dl> 
     398 
     399<p>References <a class="el" href="libDC_8h-source.html#l00275">D</a>, <a class="el" href="libDC_8h-source.html#l00277">L</a>, and <a class="el" href="libDC_8cpp-source.html#l00200">ldform()</a>.</p> 
     400 
     401</div> 
     402</div><p> 
    295403<a class="anchor" name="4fd155f38eb6dd5af4bdf9c98a7999a9"></a><!-- doxytag: member="ldmat::mult_sym_t" ref="4fd155f38eb6dd5af4bdf9c98a7999a9" args="(const mat &amp;C)" --> 
    296404<div class="memitem"> 
    … …  
    324432</div> 
    325433</div><p> 
     434<a class="anchor" name="0f0f6e083e6d947cf58097ffce3ccd1a"></a><!-- doxytag: member="ldmat::opupdt" ref="0f0f6e083e6d947cf58097ffce3ccd1a" args="(const vec &amp;v, double w)" --> 
     435<div class="memitem"> 
     436<div class="memproto"> 
     437      <table class="memname"> 
     438        <tr> 
     439          <td class="memname">void ldmat::opupdt           </td> 
     440          <td>(</td> 
     441          <td class="paramtype">const vec &amp;&nbsp;</td> 
     442          <td class="paramname"> <em>v</em>, </td> 
     443        </tr> 
     444        <tr> 
     445          <td class="paramkey"></td> 
     446          <td></td> 
     447          <td class="paramtype">double&nbsp;</td> 
     448          <td class="paramname"> <em>w</em></td><td>&nbsp;</td> 
     449        </tr> 
     450        <tr> 
     451          <td></td> 
     452          <td>)</td> 
     453          <td></td><td></td><td><code> [virtual]</code></td> 
     454        </tr> 
     455      </table> 
     456</div> 
     457<div class="memdoc"> 
     458 
     459<p> 
     460Perfroms 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> 
     461  <table border="0" cellspacing="2" cellpadding="0"> 
     462    <tr><td valign="top"></td><td valign="top"><em>v</em>&nbsp;</td><td>Vector forming the outer product to be added </td></tr> 
     463    <tr><td valign="top"></td><td valign="top"><em>w</em>&nbsp;</td><td>weight of updating; can be negative</td></tr> 
     464  </table> 
     465</dl> 
     466BLAS-2b operation.  
     467<p>Implements <a class="el" href="classsqmat.html#b223484796661f2dadb5607a86ce0581">sqmat</a>.</p> 
     468 
     469<p>References <a class="el" href="libDC_8h-source.html#l00275">D</a>, <a class="el" href="libDC_8h-source.html#l00107">sqmat::dim</a>, <a class="el" href="libDC_8cpp-source.html#l00319">dydr()</a>, and <a class="el" href="libDC_8h-source.html#l00277">L</a>.</p> 
     470 
     471<p>Referenced by <a class="el" href="libDC_8cpp-source.html#l00104">add()</a>, <a class="el" href="bdm_2estim_2arx_8cpp-source.html#l00005">bdm::ARX::bayes()</a>, and <a class="el" href="bdm_2estim_2arx_8cpp-source.html#l00025">bdm::ARX::logpred()</a>.</p> 
     472 
     473</div> 
     474</div><p> 
    326475<a class="anchor" name="fc380626ced6f9244fb58c5f0231174d"></a><!-- doxytag: member="ldmat::sqrt_mult" ref="fc380626ced6f9244fb58c5f0231174d" args="(const vec &amp;v) const " --> 
    327476<div class="memitem"> 
    … …  
    350499</div> 
    351500</div><p> 
    352 <a class="anchor" name="2c160cb123c1102face7a50ec566a031"></a><!-- doxytag: member="ldmat::inv" ref="2c160cb123c1102face7a50ec566a031" args="(ldmat &amp;Inv) const " --> 
    353 <div class="memitem"> 
    354 <div class="memproto"> 
    355       <table class="memname"> 
    356         <tr> 
    357           <td class="memname">void ldmat::inv           </td> 
    358           <td>(</td> 
    359           <td class="paramtype"><a class="el" href="classldmat.html">ldmat</a> &amp;&nbsp;</td> 
    360           <td class="paramname"> <em>Inv</em>          </td> 
    361           <td>&nbsp;)&nbsp;</td> 
    362           <td> const<code> [virtual]</code></td> 
    363         </tr> 
    364       </table> 
    365 </div> 
    366 <div class="memdoc"> 
    367  
    368 <p> 
    369 Matrix inversion preserving the chosen form.  
    370 <p> 
    371 <dl compact><dt><b>Parameters:</b></dt><dd> 
    372   <table border="0" cellspacing="2" cellpadding="0"> 
    373     <tr><td valign="top"></td><td valign="top"><em>Inv</em>&nbsp;</td><td>a space where the inverse is stored. </td></tr> 
    374   </table> 
    375 </dl> 
    376  
    377 <p>References <a class="el" href="libDC_8cpp-source.html#l00116">clear()</a>, <a class="el" href="libDC_8h-source.html#l00275">D</a>, <a class="el" href="libDC_8h-source.html#l00277">L</a>, <a class="el" href="libDC_8cpp-source.html#l00200">ldform()</a>, and <a class="el" href="libDC_8cpp-source.html#l00298">ltuinv()</a>.</p> 
    378  
    379 <p>Referenced by <a class="el" href="libEF_8cpp-source.html#l00090">bdm::egiw::variance()</a>.</p> 
    380  
    381 </div> 
    382 </div><p> 
    383 <a class="anchor" name="e7207748909325bb0f99b43f090a2b7e"></a><!-- doxytag: member="ldmat::mult_sym" ref="e7207748909325bb0f99b43f090a2b7e" args="(const mat &amp;C, ldmat &amp;U) const " --> 
    384 <div class="memitem"> 
    385 <div class="memproto"> 
    386       <table class="memname"> 
    387         <tr> 
    388           <td class="memname">void ldmat::mult_sym           </td> 
    389           <td>(</td> 
    390           <td class="paramtype">const mat &amp;&nbsp;</td> 
    391           <td class="paramname"> <em>C</em>, </td> 
    392         </tr> 
    393         <tr> 
    394           <td class="paramkey"></td> 
    395           <td></td> 
    396           <td class="paramtype"><a class="el" href="classldmat.html">ldmat</a> &amp;&nbsp;</td> 
    397           <td class="paramname"> <em>U</em></td><td>&nbsp;</td> 
    398         </tr> 
    399         <tr> 
    400           <td></td> 
    401           <td>)</td> 
    402           <td></td><td></td><td> const</td> 
    403         </tr> 
    404       </table> 
    405 </div> 
    406 <div class="memdoc"> 
    407  
    408 <p> 
    409 Symmetric multiplication of <img class="formulaInl" alt="$U$" src="form_31.png"> by a general matrix <img class="formulaInl" alt="$C$" src="form_24.png">, result of which is stored in the current class.  
    410 <p> 
    411 <dl compact><dt><b>Parameters:</b></dt><dd> 
    412   <table border="0" cellspacing="2" cellpadding="0"> 
    413     <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>matrix to multiply with </td></tr> 
    414     <tr><td valign="top"></td><td valign="top"><em>U</em>&nbsp;</td><td>a space where the inverse is stored. </td></tr> 
    415   </table> 
    416 </dl> 
    417  
    418 <p>References <a class="el" href="libDC_8h-source.html#l00275">D</a>, <a class="el" href="libDC_8h-source.html#l00277">L</a>, and <a class="el" href="libDC_8cpp-source.html#l00200">ldform()</a>.</p> 
    419  
    420 </div> 
    421 </div><p> 
    422 <a class="anchor" name="f94dc3a233f3d40fc853d8d4ac3b8eab"></a><!-- doxytag: member="ldmat::mult_sym_t" ref="f94dc3a233f3d40fc853d8d4ac3b8eab" args="(const mat &amp;C, ldmat &amp;U) const " --> 
    423 <div class="memitem"> 
    424 <div class="memproto"> 
    425       <table class="memname"> 
    426         <tr> 
    427           <td class="memname">void ldmat::mult_sym_t           </td> 
    428           <td>(</td> 
    429           <td class="paramtype">const mat &amp;&nbsp;</td> 
    430           <td class="paramname"> <em>C</em>, </td> 
    431         </tr> 
    432         <tr> 
    433           <td class="paramkey"></td> 
    434           <td></td> 
    435           <td class="paramtype"><a class="el" href="classldmat.html">ldmat</a> &amp;&nbsp;</td> 
    436           <td class="paramname"> <em>U</em></td><td>&nbsp;</td> 
    437         </tr> 
    438         <tr> 
    439           <td></td> 
    440           <td>)</td> 
    441           <td></td><td></td><td> const</td> 
    442         </tr> 
    443       </table> 
    444 </div> 
    445 <div class="memdoc"> 
    446  
    447 <p> 
    448 Symmetric multiplication of <img class="formulaInl" alt="$U$" src="form_31.png"> by a transpose of a general matrix <img class="formulaInl" alt="$C$" src="form_24.png">, result of which is stored in the current class.  
    449 <p> 
    450 <dl compact><dt><b>Parameters:</b></dt><dd> 
    451   <table border="0" cellspacing="2" cellpadding="0"> 
    452     <tr><td valign="top"></td><td valign="top"><em>C</em>&nbsp;</td><td>matrix to multiply with </td></tr> 
    453     <tr><td valign="top"></td><td valign="top"><em>U</em>&nbsp;</td><td>a space where the inverse is stored. </td></tr> 
    454   </table> 
    455 </dl> 
    456  
    457 <p>References <a class="el" href="libDC_8h-source.html#l00275">D</a>, <a class="el" href="libDC_8h-source.html#l00277">L</a>, and <a class="el" href="libDC_8cpp-source.html#l00200">ldform()</a>.</p> 
    458  
    459 </div> 
    460 </div><p> 
    461 <a class="anchor" name="f291faa073e7bc8dfafc7ae93daa2506"></a><!-- doxytag: member="ldmat::ldform" ref="f291faa073e7bc8dfafc7ae93daa2506" args="(const mat &amp;A, const vec &amp;D0)" --> 
    462 <div class="memitem"> 
    463 <div class="memproto"> 
    464       <table class="memname"> 
    465         <tr> 
    466           <td class="memname">void ldmat::ldform           </td> 
    467           <td>(</td> 
    468           <td class="paramtype">const mat &amp;&nbsp;</td> 
    469           <td class="paramname"> <em>A</em>, </td> 
    470         </tr> 
    471         <tr> 
    472           <td class="paramkey"></td> 
    473           <td></td> 
    474           <td class="paramtype">const vec &amp;&nbsp;</td> 
    475           <td class="paramname"> <em>D0</em></td><td>&nbsp;</td> 
    476         </tr> 
    477         <tr> 
    478           <td></td> 
    479           <td>)</td> 
    480           <td></td><td></td><td></td> 
    481         </tr> 
    482       </table> 
    483 </div> 
    484 <div class="memdoc"> 
    485  
    486 <p> 
    487 Transforms general <img class="formulaInl" alt="$A'D0 A$" src="form_32.png"> into pure <img class="formulaInl" alt="$L'DL$" src="form_33.png">.  
    488 <p> 
    489 The new decomposition fullfills: <img class="formulaInl" alt="$A'*diag(D)*A = self.L'*diag(self.D)*self.L$" src="form_34.png"> <dl compact><dt><b>Parameters:</b></dt><dd> 
    490   <table border="0" cellspacing="2" cellpadding="0"> 
    491     <tr><td valign="top"></td><td valign="top"><em>A</em>&nbsp;</td><td>general matrix </td></tr> 
    492     <tr><td valign="top"></td><td valign="top"><em>D0</em>&nbsp;</td><td>general vector </td></tr> 
    493   </table> 
    494 </dl> 
    495  
    496 <p>References <a class="el" href="libDC_8h-source.html#l00275">D</a>, <a class="el" href="libDC_8h-source.html#l00107">sqmat::dim</a>, and <a class="el" href="libDC_8h-source.html#l00277">L</a>.</p> 
    497  
    498 <p>Referenced by <a class="el" href="libDC_8cpp-source.html#l00118">inv()</a>, <a class="el" href="libDC_8cpp-source.html#l00046">ldmat()</a>, <a class="el" href="libDC_8cpp-source.html#l00125">mult_sym()</a>, and <a class="el" href="libDC_8cpp-source.html#l00130">mult_sym_t()</a>.</p> 
    499  
    500 </div> 
    501 </div><p> 
    502501<hr>The documentation for this class was generated from the following files:<ul> 
    503502<li><a class="el" href="libDC_8h-source.html">libDC.h</a><li>libDC.cpp</ul> 
    504503</div> 
    505 <hr size="1"><address style="text-align: right;"><small>Generated on Wed Mar 4 18:50:17 2009 for mixpp by&nbsp; 
     504<hr size="1"><address style="text-align: right;"><small>Generated on Fri Mar 6 15:01:38 2009 for mixpp by&nbsp; 
    506505<a href="http://www.doxygen.org/index.html"> 
    507 <img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address> 
     506<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.8 </small></address> 
    508507</body> 
    509508</html>