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<h1 class="refname">Lapack::solveLinearEquation</h1>
<p class="verinfo">(PECL lapack >= 0.1.0)</p><p class="refpurpose"><span class="refname">Lapack::solveLinearEquation</span> — <span class="dc-title">Solve a system of linear equations</span></p>
</div>
<div class="refsect1 description" id="refsect1-lapack.solvelinearequation-description">
<h3 class="title">Description</h3>
<div class="methodsynopsis dc-description">
<span class="modifier">public</span> <span class="modifier">static</span> <span class="type">array</span> <span class="methodname"><strong>Lapack::solveLinearEquation</strong></span>
( <span class="methodparam"><span class="type">array</span> <code class="parameter">$a</code></span>
, <span class="methodparam"><span class="type">array</span> <code class="parameter">$b</code></span>
)</div>
<p class="para rdfs-comment">
This function computes the solution to the system of linear
equations with a square matrix A and multiple
right-hand sides B. Solves A * X = B for multiple B.
</p>
</div>
<div class="refsect1 parameters" id="refsect1-lapack.solvelinearequation-parameters">
<h3 class="title">Parameters</h3>
<dl>
<dt>
<span class="term"><em><code class="parameter">a</code></em></span>
<dd>
<p class="para">
Square matrix of linear equations
</p>
</dd>
</dt>
<dt>
<span class="term"><em><code class="parameter">b</code></em></span>
<dd>
<p class="para">
Right hand side to be solved for
</p>
</dd>
</dt>
</dl>
</div>
<div class="refsect1 returnvalues" id="refsect1-lapack.solvelinearequation-returnvalues">
<h3 class="title">Return Values</h3>
<p class="para">
Matrix X
</p>
</div>
<div class="refsect1 examples" id="refsect1-lapack.solvelinearequation-examples">
<h3 class="title">Examples</h3>
<p class="para">
<div class="example" id="example-3446">
<p><strong>Example #1 Using <span class="function"><a href="lapack.singularvalues.html" class="function">Lapack::singularValues()</a></span>:</strong></p>
<div class="example-contents">
<div class="phpcode"><code><span style="color: #000000">
<span style="color: #0000BB"><?php<br /><br /> $a </span><span style="color: #007700">= array(<br /> array( </span><span style="color: #0000BB">6.80</span><span style="color: #007700">, -</span><span style="color: #0000BB">6.05</span><span style="color: #007700">, -</span><span style="color: #0000BB">0.45</span><span style="color: #007700">, </span><span style="color: #0000BB">8.32</span><span style="color: #007700">, -</span><span style="color: #0000BB">9.67 </span><span style="color: #007700">),<br /> array(-</span><span style="color: #0000BB">2.11</span><span style="color: #007700">, -</span><span style="color: #0000BB">3.30</span><span style="color: #007700">, </span><span style="color: #0000BB">2.58</span><span style="color: #007700">, </span><span style="color: #0000BB">2.71</span><span style="color: #007700">, -</span><span style="color: #0000BB">5.14 </span><span style="color: #007700">),<br /> array( </span><span style="color: #0000BB">5.66</span><span style="color: #007700">, </span><span style="color: #0000BB">5.36</span><span style="color: #007700">, -</span><span style="color: #0000BB">2.70</span><span style="color: #007700">, </span><span style="color: #0000BB">4.35</span><span style="color: #007700">, -</span><span style="color: #0000BB">7.26 </span><span style="color: #007700">),<br /> array( </span><span style="color: #0000BB">5.97</span><span style="color: #007700">, -</span><span style="color: #0000BB">4.44</span><span style="color: #007700">, </span><span style="color: #0000BB">0.27</span><span style="color: #007700">, -</span><span style="color: #0000BB">7.17</span><span style="color: #007700">, </span><span style="color: #0000BB">6.08 </span><span style="color: #007700">),<br /> array( </span><span style="color: #0000BB">8.23</span><span style="color: #007700">, </span><span style="color: #0000BB">1.08</span><span style="color: #007700">, </span><span style="color: #0000BB">9.04</span><span style="color: #007700">, </span><span style="color: #0000BB">2.14</span><span style="color: #007700">, -</span><span style="color: #0000BB">6.87 </span><span style="color: #007700">),<br /> );<br /><br /> </span><span style="color: #0000BB">$b </span><span style="color: #007700">= array(<br /> array( </span><span style="color: #0000BB">4.02</span><span style="color: #007700">, -</span><span style="color: #0000BB">1.56</span><span style="color: #007700">, </span><span style="color: #0000BB">9.81 </span><span style="color: #007700">),<br /> array( </span><span style="color: #0000BB">6.19</span><span style="color: #007700">, </span><span style="color: #0000BB">4.00</span><span style="color: #007700">, -</span><span style="color: #0000BB">4.09 </span><span style="color: #007700">),<br /> array( -</span><span style="color: #0000BB">8.22</span><span style="color: #007700">, -</span><span style="color: #0000BB">8.67</span><span style="color: #007700">, -</span><span style="color: #0000BB">4.57 </span><span style="color: #007700">),<br /> array( -</span><span style="color: #0000BB">7.57</span><span style="color: #007700">, </span><span style="color: #0000BB">1.75</span><span style="color: #007700">, -</span><span style="color: #0000BB">8.61 </span><span style="color: #007700">),<br /> array( -</span><span style="color: #0000BB">3.03</span><span style="color: #007700">, </span><span style="color: #0000BB">2.86</span><span style="color: #007700">, </span><span style="color: #0000BB">8.99 </span><span style="color: #007700">),<br /> );<br /><br /> </span><span style="color: #0000BB">$result </span><span style="color: #007700">= </span><span style="color: #0000BB">Lapack</span><span style="color: #007700">::</span><span style="color: #0000BB">solveLinearEquation</span><span style="color: #007700">(</span><span style="color: #0000BB">$a</span><span style="color: #007700">, </span><span style="color: #0000BB">$b</span><span style="color: #007700">);<br /><br /> </span><span style="color: #0000BB">?></span>
</span>
</code></div>
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