deploy: 5c2101d

annotated.html

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 <tr id="row_7_10_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="interfacela__lapack__aux_1_1la__select__w.html" target="_self">la_select_w</a></td><td class="desc"></td></tr>
 <tr id="row_7_11_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="interfacela__lapack__aux_1_1la__select__z.html" target="_self">la_select_z</a></td><td class="desc"></td></tr>
 <tr id="row_8_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_8_" class="arrow" onclick="dynsection.toggleFolder('8_')">&#9658;</span><span class="icona"><span class="icon">M</span></span><a class="el" href="namespacela__least__squares.html" target="_self">la_least_squares</a></td><td class="desc">Least squares solution interface </td></tr>
-<tr id="row_8_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="interfacela__least__squares_1_1lstsq.html" target="_self">lstsq</a></td><td class="desc">Compute a least squares solution to system <img class="formulaInl" alt="$ A \cdot x = b $" src="form_0.png"/>, i.e. such that the 2-norm <img class="formulaInl" alt="$ \|b - A \cdot x\| $" src="form_1.png"/> is minimized </td></tr>
+<tr id="row_8_0_" class="odd" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="interfacela__least__squares_1_1lstsq.html" target="_self">lstsq</a></td><td class="desc">Compute a least squares solution to system <img class="formulaInl" alt="$ A \cdot x = b $" src="form_0.png" width="49" height="10"/>, i.e. such that the 2-norm <img class="formulaInl" alt="$ \|b - A \cdot x\| $" src="form_1.png" width="58" height="14"/> is minimized </td></tr>
 <tr id="row_9_" class="odd"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_9_" class="arrow" onclick="dynsection.toggleFolder('9_')">&#9658;</span><span class="icona"><span class="icon">M</span></span><a class="el" href="namespacela__norms.html" target="_self">la_norms</a></td><td class="desc"></td></tr>
 <tr id="row_9_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="interfacela__norms_1_1get__norm.html" target="_self">get_norm</a></td><td class="desc">Vector norm: subroutine interface </td></tr>
 <tr id="row_9_1_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="interfacela__norms_1_1mnorm.html" target="_self">mnorm</a></td><td class="desc">Matrix norm: function interface </td></tr>

formula.repository

@@ -0,0 +1,5 @@
+\_form#0=49x10:$ A \cdot x = b $
+\_form#1=58x14:$ \|b - A \cdot x\| $
+\_form#2=19x14:$ s(i) $
+\_form#3=109x14:$ s(i) \leq \text{cond} \cdot \max(s) $
+\_form#4=58x10:$ A \cdot X = B $

interfacela__least__squares_1_1lstsq.html

@@ -104,7 +104,7 @@
 </div><!--header-->
 <div class="contents">
 
-<p>Compute a least squares solution to system <img class="formulaInl" alt="$ A \cdot x = b $" src="form_0.png"/>, i.e. such that the 2-norm <img class="formulaInl" alt="$ \|b - A \cdot x\| $" src="form_1.png"/> is minimized.  
+<p>Compute a least squares solution to system <img class="formulaInl" alt="$ A \cdot x = b $" src="form_0.png" width="49" height="10"/>, i.e. such that the 2-norm <img class="formulaInl" alt="$ \|b - A \cdot x\| $" src="form_1.png" width="58" height="14"/> is minimized.  
  <a href="#details">More...</a></p>
 <table class="memberdecls">
 <tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pub-methods" name="pub-methods"></a>
@@ -147,15 +147,15 @@
 <tr class="separator:ac21f5d10ba3c7546239bdcfb7d1bc570"><td class="memSeparator" colspan="2">&#160;</td></tr>
 </table>
 <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
-<div class="textblock"><p>Compute a least squares solution to system <img class="formulaInl" alt="$ A \cdot x = b $" src="form_0.png"/>, i.e. such that the 2-norm <img class="formulaInl" alt="$ \|b - A \cdot x\| $" src="form_1.png"/> is minimized. </p>
+<div class="textblock"><p>Compute a least squares solution to system <img class="formulaInl" alt="$ A \cdot x = b $" src="form_0.png" width="49" height="10"/>, i.e. such that the 2-norm <img class="formulaInl" alt="$ \|b - A \cdot x\| $" src="form_1.png" width="58" height="14"/> is minimized. </p>
 <p>This function computes the least-squares solution to a real system of linear equations:</p>
-<p><img class="formulaInl" alt="$ A \cdot x = b $" src="form_0.png"/></p>
+<p><img class="formulaInl" alt="$ A \cdot x = b $" src="form_0.png" width="49" height="10"/></p>
 <p>where A is an <code>n x n</code> matrix and b is either a vector (<code>n</code>) or a matrix (<code>n x nrhs</code>). The solution <code>x</code> is returned as an allocatable array.</p>
 <dl class="params"><dt>Parameters</dt><dd>
   <table class="params">
     <tr><td class="paramdir">[in,out]</td><td class="paramname">a</td><td>The input matrix of size <code>n x n</code>. If <code>overwrite_a</code> is true, the contents of A may be modified during computation. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>The right-hand side vector (<code>n</code>) or matrix (<code>n x nrhs</code>). </td></tr>
-    <tr><td class="paramdir">[in]</td><td class="paramname">cond</td><td>(Optional) A cutoff for rank evaluation: singular values <img class="formulaInl" alt="$ s(i) $" src="form_2.png"/> such that <img class="formulaInl" alt="$ s(i) \leq \text{cond} \cdot \max(s) $" src="form_3.png"/> are considered zero. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">cond</td><td>(Optional) A cutoff for rank evaluation: singular values <img class="formulaInl" alt="$ s(i) $" src="form_2.png" width="19" height="14"/> such that <img class="formulaInl" alt="$ s(i) \leq \text{cond} \cdot \max(s) $" src="form_3.png" width="109" height="14"/> are considered zero. </td></tr>
     <tr><td class="paramdir">[in]</td><td class="paramname">overwrite_a</td><td>(Optional) If true, A and B may be overwritten and destroyed. Default is false. </td></tr>
     <tr><td class="paramdir">[out]</td><td class="paramname">rank</td><td>(Optional) The rank of the matrix A. </td></tr>
     <tr><td class="paramdir">[out]</td><td class="paramname">err</td><td>(Optional) A state return flag. If an error occurs and <code>err</code> is not provided, the function will stop execution.</td></tr>

interfacela__solve_1_1solve.html

@@ -149,7 +149,7 @@
 <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
 <div class="textblock"><p>Solve a system of linear equations A * X = B. </p>
 <p>This function computes the solution to a real system of linear equations:</p>
-<p><img class="formulaInl" alt="$ A \cdot X = B $" src="form_4.png"/></p>
+<p><img class="formulaInl" alt="$ A \cdot X = B $" src="form_4.png" width="58" height="10"/></p>
 <p>where A is an <code>n x n</code> square matrix, and B is either a vector (<code>n</code>) or a matrix (<code>n x nrhs</code>). The solution X is returned as an allocatable array.</p>
 <dl class="params"><dt>Parameters</dt><dd>
   <table class="params">

la__least__squares_8f90.html

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 Data Types</h2></td></tr>
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-<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute a least squares solution to system <img class="formulaInl" alt="$ A \cdot x = b $" src="form_0.png"/>, i.e. such that the 2-norm <img class="formulaInl" alt="$ \|b - A \cdot x\| $" src="form_1.png"/> is minimized.  <a href="interfacela__least__squares_1_1lstsq.html#details">More...</a><br /></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute a least squares solution to system <img class="formulaInl" alt="$ A \cdot x = b $" src="form_0.png" width="49" height="10"/>, i.e. such that the 2-norm <img class="formulaInl" alt="$ \|b - A \cdot x\| $" src="form_1.png" width="58" height="14"/> is minimized.  <a href="interfacela__least__squares_1_1lstsq.html#details">More...</a><br /></td></tr>
 <tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
 </table><table class="memberdecls">
 <tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="namespaces" name="namespaces"></a>

namespacela__least__squares.html

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 <tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="nested-classes" name="nested-classes"></a>
 Data Types</h2></td></tr>
 <tr class="memitem:"><td class="memItemLeft" align="right" valign="top">interface &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="interfacela__least__squares_1_1lstsq.html">lstsq</a></td></tr>
-<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute a least squares solution to system <img class="formulaInl" alt="$ A \cdot x = b $" src="form_0.png"/>, i.e. such that the 2-norm <img class="formulaInl" alt="$ \|b - A \cdot x\| $" src="form_1.png"/> is minimized.  <a href="interfacela__least__squares_1_1lstsq.html#details">More...</a><br /></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute a least squares solution to system <img class="formulaInl" alt="$ A \cdot x = b $" src="form_0.png" width="49" height="10"/>, i.e. such that the 2-norm <img class="formulaInl" alt="$ \|b - A \cdot x\| $" src="form_1.png" width="58" height="14"/> is minimized.  <a href="interfacela__least__squares_1_1lstsq.html#details">More...</a><br /></td></tr>
 <tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
 </table>
 <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>