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Cholesky decomposition class
For a symmetric, positive definite matrix A, the Cholesky decomposition
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Class to obtain eigenvalues and eigenvectors of a real matrix</a></li>
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Error handling</a></li>
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For an m-by-n matrix A with m &gt;= n, the LU decomposition is an m-by-n
unit lower triangular matrix L, an n-by-n upper triangular matrix U,
and a permutation vector piv of length m so that A(piv,:) = L*U</a></li>
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For an m-by-n matrix A with m &gt;= n, the QR decomposition is an m-by-n
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For an m-by-n matrix A with m &gt;= n, the singular value decomposition is
an m-by-n orthogonal matrix U, an n-by-n diagonal matrix S, and
an n-by-n orthogonal matrix V so that A = U*S*V'</a></li>
<li><a href="../packages/JAMA%0D%0APythagorean%20Theorem:%0D%0Aa%20=%203%0D%0Ab%20=%204%0D%0Ar%20=%20sqrt(square(a)%20+%20square(b))%0D%0Ar%20=%205%0D%0Ar%20=%20sqrt(a%5E2%20+%20b%5E2)%20without%20under.overflow.html"><i class="icon-folder-open"></i> JAMA
Pythagorean Theorem:
a = 3
b = 4
r = sqrt(square(a) + square(b))
r = 5
r = sqrt(a^2 + b^2) without under/overflow</a></li>
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<i class="icon-custom icon-method"></i> Methods
<ul><li class="method public "><a href="#method_calculate" title="calculate :: "><span class="description">calculate()
</span><pre>calculate()</pre></a></li></ul>
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<i class="icon-custom icon-property"></i> Properties
<ul></ul>
</li>
<li class="nav-header private">» Private
<ul>
<li class="property private "><a href="#property__trendCache" title="$_trendCache :: Cached results for each method when trying to identify which provides the best fit"><span class="description"></span><pre>$_trendCache</pre></a></li>
<li class="property private "><a href="#property__trendTypePolyOrders" title="$_trendTypePolyOrders :: Names of the best-fit trend polynomial orders"><span class="description"></span><pre>$_trendTypePolyOrders</pre></a></li>
<li class="property private "><a href="#property__trendTypes" title="$_trendTypes :: Names of the best-fit trend analysis methods"><span class="description"></span><pre>$_trendTypes</pre></a></li>
</ul>
</li>
<li class="nav-header">
<i class="icon-custom icon-constant"></i> Constants
<ul>
<li class="constant "><a href="#constant_TREND_BEST_FIT" title="TREND_BEST_FIT :: "><span class="description">TREND_BEST_FIT</span><pre>TREND_BEST_FIT</pre></a></li>
<li class="constant "><a href="#constant_TREND_BEST_FIT_NO_POLY" title="TREND_BEST_FIT_NO_POLY :: "><span class="description">TREND_BEST_FIT_NO_POLY</span><pre>TREND_BEST_FIT_NO_POLY</pre></a></li>
<li class="constant "><a href="#constant_TREND_EXPONENTIAL" title="TREND_EXPONENTIAL :: "><span class="description">TREND_EXPONENTIAL</span><pre>TREND_EXPONENTIAL</pre></a></li>
<li class="constant "><a href="#constant_TREND_LINEAR" title="TREND_LINEAR :: "><span class="description">TREND_LINEAR</span><pre>TREND_LINEAR</pre></a></li>
<li class="constant "><a href="#constant_TREND_LOGARITHMIC" title="TREND_LOGARITHMIC :: "><span class="description">TREND_LOGARITHMIC</span><pre>TREND_LOGARITHMIC</pre></a></li>
<li class="constant "><a href="#constant_TREND_POLYNOMIAL_2" title="TREND_POLYNOMIAL_2 :: "><span class="description">TREND_POLYNOMIAL_2</span><pre>TREND_POLYNOMIAL_2</pre></a></li>
<li class="constant "><a href="#constant_TREND_POLYNOMIAL_3" title="TREND_POLYNOMIAL_3 :: "><span class="description">TREND_POLYNOMIAL_3</span><pre>TREND_POLYNOMIAL_3</pre></a></li>
<li class="constant "><a href="#constant_TREND_POLYNOMIAL_4" title="TREND_POLYNOMIAL_4 :: "><span class="description">TREND_POLYNOMIAL_4</span><pre>TREND_POLYNOMIAL_4</pre></a></li>
<li class="constant "><a href="#constant_TREND_POLYNOMIAL_5" title="TREND_POLYNOMIAL_5 :: "><span class="description">TREND_POLYNOMIAL_5</span><pre>TREND_POLYNOMIAL_5</pre></a></li>
<li class="constant "><a href="#constant_TREND_POLYNOMIAL_6" title="TREND_POLYNOMIAL_6 :: "><span class="description">TREND_POLYNOMIAL_6</span><pre>TREND_POLYNOMIAL_6</pre></a></li>
<li class="constant "><a href="#constant_TREND_POWER" title="TREND_POWER :: "><span class="description">TREND_POWER</span><pre>TREND_POWER</pre></a></li>
</ul>
</li>
</ul>
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<div class="span8">
<a id="\trendClass"></a><ul class="breadcrumb">
<li>
<a href="../index.html"><i class="icon-custom icon-class"></i></a><span class="divider">\</span>
</li>
<li><a href="../namespaces/global.html">global</a></li>
<li class="active">
<span class="divider">\</span><a href="../classes/trendClass.html">trendClass</a>
</li>
</ul>
<div class="element class">
<p class="short_description">PHPExcel_trendClass</p>
<div class="details">
<div class="long_description"></div>
<table class="table table-bordered">
<tr>
<th>category</th>
<td>PHPExcel</td>
</tr>
<tr>
<th>package</th>
<td><a href="../packages/PHPExcel.Shared.Trend.html">PHPExcel_Shared_Trend</a></td>
</tr>
<tr>
<th>copyright</th>
<td>Copyright (c) 2006 - 2014 PHPExcel (http://www.codeplex.com/PHPExcel)</td>
</tr>
</table>
<h3>
<i class="icon-custom icon-method"></i> Methods</h3>
<a id="method_calculate"></a><div class="element clickable method public method_calculate" data-toggle="collapse" data-target=".method_calculate .collapse">
<h2>calculate()
</h2>
<pre>calculate($trendType, $yValues, $xValues, $const) </pre>
<div class="labels"><span class="label">Static</span></div>
<div class="row collapse"><div class="detail-description">
<div class="long_description"></div>
<h3>Parameters</h3>
<div class="subelement argument"><h4>$trendType</h4></div>
<div class="subelement argument"><h4>$yValues</h4></div>
<div class="subelement argument"><h4>$xValues</h4></div>
<div class="subelement argument"><h4>$const</h4></div>
</div></div>
</div>
<h3>
<i class="icon-custom icon-property"></i> Properties</h3>
<a id="property__trendCache"> </a><div class="element clickable property private property__trendCache" data-toggle="collapse" data-target=".property__trendCache .collapse">
<h2></h2>
<pre>$_trendCache : <a href="PHPExcel.Shared.trend.bestFitClass.html#%5CPHPExcel_Best_Fit">\PHPExcel_Best_Fit[]</a></pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>
</div>
<a id="property__trendTypePolyOrders"> </a><div class="element clickable property private property__trendTypePolyOrders" data-toggle="collapse" data-target=".property__trendTypePolyOrders .collapse">
<h2></h2>
<pre>$_trendTypePolyOrders : string[]</pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>
</div>
<a id="property__trendTypes"> </a><div class="element clickable property private property__trendTypes" data-toggle="collapse" data-target=".property__trendTypes .collapse">
<h2></h2>
<pre>$_trendTypes : string[]</pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>
</div>
<h3>
<i class="icon-custom icon-constant"></i> Constants</h3>
<a id="constant_TREND_BEST_FIT"> </a><div class="element clickable constant constant_TREND_BEST_FIT" data-toggle="collapse" data-target=".constant_TREND_BEST_FIT .collapse">
<h2>TREND_BEST_FIT</h2>
<pre>TREND_BEST_FIT </pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>
</div>
<a id="constant_TREND_BEST_FIT_NO_POLY"> </a><div class="element clickable constant constant_TREND_BEST_FIT_NO_POLY" data-toggle="collapse" data-target=".constant_TREND_BEST_FIT_NO_POLY .collapse">
<h2>TREND_BEST_FIT_NO_POLY</h2>
<pre>TREND_BEST_FIT_NO_POLY </pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>
</div>
<a id="constant_TREND_EXPONENTIAL"> </a><div class="element clickable constant constant_TREND_EXPONENTIAL" data-toggle="collapse" data-target=".constant_TREND_EXPONENTIAL .collapse">
<h2>TREND_EXPONENTIAL</h2>
<pre>TREND_EXPONENTIAL </pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>
</div>
<a id="constant_TREND_LINEAR"> </a><div class="element clickable constant constant_TREND_LINEAR" data-toggle="collapse" data-target=".constant_TREND_LINEAR .collapse">
<h2>TREND_LINEAR</h2>
<pre>TREND_LINEAR </pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>
</div>
<a id="constant_TREND_LOGARITHMIC"> </a><div class="element clickable constant constant_TREND_LOGARITHMIC" data-toggle="collapse" data-target=".constant_TREND_LOGARITHMIC .collapse">
<h2>TREND_LOGARITHMIC</h2>
<pre>TREND_LOGARITHMIC </pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>
</div>
<a id="constant_TREND_POLYNOMIAL_2"> </a><div class="element clickable constant constant_TREND_POLYNOMIAL_2" data-toggle="collapse" data-target=".constant_TREND_POLYNOMIAL_2 .collapse">
<h2>TREND_POLYNOMIAL_2</h2>
<pre>TREND_POLYNOMIAL_2 </pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>
</div>
<a id="constant_TREND_POLYNOMIAL_3"> </a><div class="element clickable constant constant_TREND_POLYNOMIAL_3" data-toggle="collapse" data-target=".constant_TREND_POLYNOMIAL_3 .collapse">
<h2>TREND_POLYNOMIAL_3</h2>
<pre>TREND_POLYNOMIAL_3 </pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>
</div>
<a id="constant_TREND_POLYNOMIAL_4"> </a><div class="element clickable constant constant_TREND_POLYNOMIAL_4" data-toggle="collapse" data-target=".constant_TREND_POLYNOMIAL_4 .collapse">
<h2>TREND_POLYNOMIAL_4</h2>
<pre>TREND_POLYNOMIAL_4 </pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>
</div>
<a id="constant_TREND_POLYNOMIAL_5"> </a><div class="element clickable constant constant_TREND_POLYNOMIAL_5" data-toggle="collapse" data-target=".constant_TREND_POLYNOMIAL_5 .collapse">
<h2>TREND_POLYNOMIAL_5</h2>
<pre>TREND_POLYNOMIAL_5 </pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>
</div>
<a id="constant_TREND_POLYNOMIAL_6"> </a><div class="element clickable constant constant_TREND_POLYNOMIAL_6" data-toggle="collapse" data-target=".constant_TREND_POLYNOMIAL_6 .collapse">
<h2>TREND_POLYNOMIAL_6</h2>
<pre>TREND_POLYNOMIAL_6 </pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>
</div>
<a id="constant_TREND_POWER"> </a><div class="element clickable constant constant_TREND_POWER" data-toggle="collapse" data-target=".constant_TREND_POWER .collapse">
<h2>TREND_POWER</h2>
<pre>TREND_POWER </pre>
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