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<title>Solve the linear least squares problem, using SVD</title>
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<h1 class="refname">Lapack::leastSquaresBySVD</h1>
<p class="verinfo">(PECL lapack >= 0.1.0)</p><p class="refpurpose"><span class="refname">Lapack::leastSquaresBySVD</span> — <span class="dc-title">Solve the linear least squares problem, using SVD</span></p>
</div>
<div class="refsect1 description" id="refsect1-lapack.leastsquaresbysvd-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::leastSquaresBySVD</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">
Solve the linear least squares problem, find min x in || B - Ax ||
Returns an array representing x. Expects arrays of arrays, and will
return an array of arrays in the dimension B num cols x A num cols.
Uses SVD with a divide and conquer algorithm.
</p>
</div>
<div class="refsect1 parameters" id="refsect1-lapack.leastsquaresbysvd-parameters">
<h3 class="title">Parameters</h3>
<dl>
<dt>
<span class="term"><em><code class="parameter">a</code></em></span>
<dd>
<p class="para">
Matrix A
</p>
</dd>
</dt>
<dt>
<span class="term"><em><code class="parameter">b</code></em></span>
<dd>
<p class="para">
Matrix B
</p>
</dd>
</dt>
</dl>
</div>
<div class="refsect1 returnvalues" id="refsect1-lapack.leastsquaresbysvd-returnvalues">
<h3 class="title">Return Values</h3>
<p class="para">
Returns the solution as an array of arrays.
</p>
</div>
<div class="refsect1 examples" id="refsect1-lapack.leastsquaresbysvd-examples">
<h3 class="title">Examples</h3>
<p class="para">
<div class="example" id="example-3443">
<p><strong>Example #1 Using <span class="function"><strong>Lapack::leastSquaresBySVD()</strong></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">1.44</span><span style="color: #007700">, -</span><span style="color: #0000BB">7.84</span><span style="color: #007700">, -</span><span style="color: #0000BB">4.39</span><span style="color: #007700">, </span><span style="color: #0000BB">4.53</span><span style="color: #007700">),<br /> array(-</span><span style="color: #0000BB">9.96</span><span style="color: #007700">, -</span><span style="color: #0000BB">0.28</span><span style="color: #007700">, -</span><span style="color: #0000BB">3.24</span><span style="color: #007700">, </span><span style="color: #0000BB">3.83</span><span style="color: #007700">),<br /> array(-</span><span style="color: #0000BB">7.55</span><span style="color: #007700">, </span><span style="color: #0000BB">3.24</span><span style="color: #007700">, </span><span style="color: #0000BB">6.27</span><span style="color: #007700">, -</span><span style="color: #0000BB">6.64</span><span style="color: #007700">),<br /> array( </span><span style="color: #0000BB">8.34</span><span style="color: #007700">, </span><span style="color: #0000BB">8.09</span><span style="color: #007700">, </span><span style="color: #0000BB">5.28</span><span style="color: #007700">, </span><span style="color: #0000BB">2.06</span><span style="color: #007700">),<br /> array( </span><span style="color: #0000BB">7.08</span><span style="color: #007700">, </span><span style="color: #0000BB">2.52</span><span style="color: #007700">, </span><span style="color: #0000BB">0.74</span><span style="color: #007700">, -</span><span style="color: #0000BB">2.47</span><span style="color: #007700">),<br /> array(-</span><span style="color: #0000BB">5.45</span><span style="color: #007700">, -</span><span style="color: #0000BB">5.70</span><span style="color: #007700">, -</span><span style="color: #0000BB">1.19</span><span style="color: #007700">, </span><span style="color: #0000BB">4.70</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">8.58</span><span style="color: #007700">, </span><span style="color: #0000BB">9.35</span><span style="color: #007700">),<br /> array( </span><span style="color: #0000BB">8.26</span><span style="color: #007700">, -</span><span style="color: #0000BB">4.43</span><span style="color: #007700">),<br /> array( </span><span style="color: #0000BB">8.48</span><span style="color: #007700">, -</span><span style="color: #0000BB">0.70</span><span style="color: #007700">),<br /> array(-</span><span style="color: #0000BB">5.28</span><span style="color: #007700">, -</span><span style="color: #0000BB">0.26</span><span style="color: #007700">),<br /> array( </span><span style="color: #0000BB">5.72</span><span style="color: #007700">, -</span><span style="color: #0000BB">7.36</span><span style="color: #007700">),<br /> array( </span><span style="color: #0000BB">8.93</span><span style="color: #007700">, -</span><span style="color: #0000BB">2.52</span><span style="color: #007700">), <br /> );<br /><br /> </span><span style="color: #0000BB">$result </span><span style="color: #007700">= </span><span style="color: #0000BB">Lapack</span><span style="color: #007700">::</span><span style="color: #0000BB">leastSquaresBySVD</span><span style="color: #007700">(</span><span style="color: #0000BB">$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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