Changeset 608 for library/doc/html/classbdm_1_1ldmat.html

Timestamp:

09/12/09 11:41:43 (15 years ago)

Author:

smidl

Message:

doc

Files:

• library/doc/html/classbdm_1_1ldmat.html (modified) (12 diffs)

library/doc/html/classbdm_1_1ldmat.html

@@ -106 +106 @@
 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Conversion to full matrix. <br/></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ldmat.html#a7a813158c36347deccf50a08feee24a8">mult_sym</a> (const mat &amp;C)</td></tr>
-<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="#a7a813158c36347deccf50a08feee24a8"></a><br/></td></tr>
+<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="#a7a813158c36347deccf50a08feee24a8"></a><br/></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ldmat.html#a591ae54f5fce50e7160025eeab44888f">mult_sym_t</a> (const mat &amp;C)</td></tr>
-<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="#a591ae54f5fce50e7160025eeab44888f"></a><br/></td></tr>
+<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="#a591ae54f5fce50e7160025eeab44888f"></a><br/></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a9ae1fe991497135973a18097a58c6f25"></a><!-- doxytag: member="bdm::ldmat::add" ref="a9ae1fe991497135973a18097a58c6f25" args="(const ldmat &amp;ld2, double w=1.0)" -->
 void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ldmat.html#a9ae1fe991497135973a18097a58c6f25">add</a> (const <a class="el" href="classbdm_1_1ldmat.html">ldmat</a> &amp;ld2, double w=1.0)</td></tr>
@@ -117 +117 @@
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a5725cb504d3dd68713ac232c18526c87"></a><!-- doxytag: member="bdm::ldmat::qform" ref="a5725cb504d3dd68713ac232c18526c87" args="(const vec &amp;v) const " -->
 double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ldmat.html#a5725cb504d3dd68713ac232c18526c87">qform</a> (const vec &amp;v) const </td></tr>
-<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>
+<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>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="af743de194aadb8515cf18226fadf365f"></a><!-- doxytag: member="bdm::ldmat::invqform" ref="af743de194aadb8515cf18226fadf365f" args="(const vec &amp;v) const " -->
 double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ldmat.html#af743de194aadb8515cf18226fadf365f">invqform</a> (const vec &amp;v) const </td></tr>
-<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>
+<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>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a913a4746f16e4c5e130f63bd3f31829a"></a><!-- doxytag: member="bdm::ldmat::clear" ref="a913a4746f16e4c5e130f63bd3f31829a" args="()" -->
 void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ldmat.html#a913a4746f16e4c5e130f63bd3f31829a">clear</a> ()</td></tr>
 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Clearing matrix so that it corresponds to zeros. <br/></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top">vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ldmat.html#a2c670269c0ee397eb49ba7b0712e16a5">sqrt_mult</a> (const vec &amp;v) const </td></tr>
-<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="#a2c670269c0ee397eb49ba7b0712e16a5"></a><br/></td></tr>
+<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="#a2c670269c0ee397eb49ba7b0712e16a5"></a><br/></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ldmat.html#ae5940e396d822b9e93a43ac0924d3823">inv</a> (<a class="el" href="classbdm_1_1ldmat.html">ldmat</a> &amp;Inv) const </td></tr>
 <tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Matrix inversion preserving the chosen form.  <a href="#ae5940e396d822b9e93a43ac0924d3823"></a><br/></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ldmat.html#a138e64000ce94d8bc35105094d213e67">mult_sym</a> (const mat &amp;C, <a class="el" href="classbdm_1_1ldmat.html">ldmat</a> &amp;U) const </td></tr>
-<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Symmetric multiplication of <img class="formulaInl" alt="$U$" src="form_58.png"/> by a general matrix <img class="formulaInl" alt="$C$" src="form_52.png"/>, result of which is stored in the current class.  <a href="#a138e64000ce94d8bc35105094d213e67"></a><br/></td></tr>
+<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Symmetric multiplication of <img class="formulaInl" alt="$U$" src="form_66.png"/> by a general matrix <img class="formulaInl" alt="$C$" src="form_60.png"/>, result of which is stored in the current class.  <a href="#a138e64000ce94d8bc35105094d213e67"></a><br/></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ldmat.html#a9f812a24ad5e29348de2cb23c6c6dd96">mult_sym_t</a> (const mat &amp;C, <a class="el" href="classbdm_1_1ldmat.html">ldmat</a> &amp;U) const </td></tr>
-<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Symmetric multiplication of <img class="formulaInl" alt="$U$" src="form_58.png"/> by a transpose of a general matrix <img class="formulaInl" alt="$C$" src="form_52.png"/>, result of which is stored in the current class.  <a href="#a9f812a24ad5e29348de2cb23c6c6dd96"></a><br/></td></tr>
+<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Symmetric multiplication of <img class="formulaInl" alt="$U$" src="form_66.png"/> by a transpose of a general matrix <img class="formulaInl" alt="$C$" src="form_60.png"/>, result of which is stored in the current class.  <a href="#a9f812a24ad5e29348de2cb23c6c6dd96"></a><br/></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ldmat.html#af95718893e86bff149080116736ab566">ldform</a> (const mat &amp;A, const vec &amp;D0)</td></tr>
-<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Transforms general <img class="formulaInl" alt="$A'D0 A$" src="form_59.png"/> into pure <img class="formulaInl" alt="$L'DL$" src="form_60.png"/>.  <a href="#af95718893e86bff149080116736ab566"></a><br/></td></tr>
+<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Transforms general <img class="formulaInl" alt="$A'D0 A$" src="form_67.png"/> into pure <img class="formulaInl" alt="$L'DL$" src="form_68.png"/>.  <a href="#af95718893e86bff149080116736ab566"></a><br/></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a72e61ad4e0653f4fc38e7d60d3cf1d4e"></a><!-- doxytag: member="bdm::ldmat::setD" ref="a72e61ad4e0653f4fc38e7d60d3cf1d4e" args="(const vec &amp;nD)" -->
 void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ldmat.html#a72e61ad4e0653f4fc38e7d60d3cf1d4e">setD</a> (const vec &amp;nD)</td></tr>
@@ -165 +165 @@
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a03b89dcb9a5241a237a07102f932638f"></a><!-- doxytag: member="bdm::ldmat::D" ref="a03b89dcb9a5241a237a07102f932638f" args="" -->
 vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ldmat.html#a03b89dcb9a5241a237a07102f932638f">D</a></td></tr>
-<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Positive vector <img class="formulaInl" alt="$D$" src="form_50.png"/>. <br/></td></tr>
+<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Positive vector <img class="formulaInl" alt="$D$" src="form_58.png"/>. <br/></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a2488cf5a8f056b2566e2565d1ce9ec57"></a><!-- doxytag: member="bdm::ldmat::L" ref="a2488cf5a8f056b2566e2565d1ce9ec57" args="" -->
 mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1ldmat.html#a2488cf5a8f056b2566e2565d1ce9ec57">L</a></td></tr>
-<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Lower-triangular matrix <img class="formulaInl" alt="$L$" src="form_49.png"/>. <br/></td></tr>
+<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Lower-triangular matrix <img class="formulaInl" alt="$L$" src="form_57.png"/>. <br/></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a05111b5744a494880e62cb0f3d42293f"></a><!-- doxytag: member="bdm::ldmat::dim" ref="a05111b5744a494880e62cb0f3d42293f" args="" -->
 int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1sqmat.html#a05111b5744a494880e62cb0f3d42293f">dim</a></td></tr>
@@ -181 +181 @@
 <p>Matrix is decomposed as follows: </p>
 <p class="formulaDsp">
-<img class="formulaDsp" alt="\[M = L'DL\]" src="form_48.png"/>
+<img class="formulaDsp" alt="\[M = L'DL\]" src="form_56.png"/>
 </p>
-<p> where only <img class="formulaInl" alt="$L$" src="form_49.png"/> and <img class="formulaInl" alt="$D$" src="form_50.png"/> matrices are stored. All inplace operations modifies only these and the need to compose and decompose the matrix is avoided. </p>
+<p> where only <img class="formulaInl" alt="$L$" src="form_57.png"/> and <img class="formulaInl" alt="$D$" src="form_58.png"/> matrices are stored. All inplace operations modifies only these and the need to compose and decompose the matrix is avoided. </p>
 <hr/><h2>Member Function Documentation</h2>
 <a class="anchor" id="ae5940e396d822b9e93a43ac0924d3823"></a><!-- doxytag: member="bdm::ldmat::inv" ref="ae5940e396d822b9e93a43ac0924d3823" args="(ldmat &amp;Inv) const " -->
@@ -240 +240 @@
 <div class="memdoc">
 
-<p>Transforms general <img class="formulaInl" alt="$A'D0 A$" src="form_59.png"/> into pure <img class="formulaInl" alt="$L'DL$" src="form_60.png"/>. </p>
-<p>The new decomposition fullfills: <img class="formulaInl" alt="$A'*diag(D)*A = self.L'*diag(self.D)*self.L$" src="form_61.png"/> </p>
+<p>Transforms general <img class="formulaInl" alt="$A'D0 A$" src="form_67.png"/> into pure <img class="formulaInl" alt="$L'DL$" src="form_68.png"/>. </p>
+<p>The new decomposition fullfills: <img class="formulaInl" alt="$A'*diag(D)*A = self.L'*diag(self.D)*self.L$" src="form_69.png"/> </p>
 <dl><dt><b>Parameters:</b></dt><dd>
   <table border="0" cellspacing="2" cellpadding="0">
@@ -281 +281 @@
 <div class="memdoc">
 
-<p>Symmetric multiplication of <img class="formulaInl" alt="$U$" src="form_58.png"/> by a general matrix <img class="formulaInl" alt="$C$" src="form_52.png"/>, result of which is stored in the current class. </p>
+<p>Symmetric multiplication of <img class="formulaInl" alt="$U$" src="form_66.png"/> by a general matrix <img class="formulaInl" alt="$C$" src="form_60.png"/>, result of which is stored in the current class. </p>
 <dl><dt><b>Parameters:</b></dt><dd>
   <table border="0" cellspacing="2" cellpadding="0">
@@ -310 +310 @@
 <div class="memdoc">
 
-<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>
+<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>
 <dl><dt><b>Parameters:</b></dt><dd>
   <table border="0" cellspacing="2" cellpadding="0">
@@ -349 +349 @@
 <div class="memdoc">
 
-<p>Symmetric multiplication of <img class="formulaInl" alt="$U$" src="form_58.png"/> by a transpose of a general matrix <img class="formulaInl" alt="$C$" src="form_52.png"/>, result of which is stored in the current class. </p>
+<p>Symmetric multiplication of <img class="formulaInl" alt="$U$" src="form_66.png"/> by a transpose of a general matrix <img class="formulaInl" alt="$C$" src="form_60.png"/>, result of which is stored in the current class. </p>
 <dl><dt><b>Parameters:</b></dt><dd>
   <table border="0" cellspacing="2" cellpadding="0">
@@ -378 +378 @@
 <div class="memdoc">
 
-<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>
+<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>
 <dl><dt><b>Parameters:</b></dt><dd>
   <table border="0" cellspacing="2" cellpadding="0">
@@ -462 +462 @@
 </div>
 <div class="memdoc">
-<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>
+<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>
 <dl><dt><b>Parameters:</b></dt><dd>
   <table border="0" cellspacing="2" cellpadding="0">
@@ -496 +496 @@
 <div class="memdoc">
 
-<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>
+<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>
 <p>Used e.g. in generating normal samples. </p>
 
@@ -510 +510 @@
 </ul>
 </div>
-<hr size="1"/><address style="text-align: right;"><small>Generated on Sun Aug 30 22:10:50 2009 for mixpp by&nbsp;
+<hr size="1"/><address style="text-align: right;"><small>Generated on Tue Sep 8 22:11:33 2009 for mixpp by&nbsp;
 <a href="http://www.doxygen.org/index.html">
 <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.6.1 </small></address>