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Cholesky decomposition class
For a symmetric, positive definite matrix A, the Cholesky decomposition
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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>
<li><a href="../packages/JAMA%0D%0AFor%20an%20m-by-n%20matrix%20A%20with%20m%20&gt;=%20n,%20the%20QR%20decomposition%20is%20an%20m-by-n%0D%0Aorthogonal%20matrix%20Q%20and%20an%20n-by-n%20upper%20triangular%20matrix%20R%20so%20that%0D%0AA%20=%20Q*R.html"><i class="icon-folder-open"></i> JAMA
For an m-by-n matrix A with m &gt;= n, the QR decomposition is an m-by-n
orthogonal matrix Q and an n-by-n upper triangular matrix R so that
A = Q*R</a></li>
<li><a href="../packages/JAMA%0D%0AFor%20an%20m-by-n%20matrix%20A%20with%20m%20&gt;=%20n,%20the%20singular%20value%20decomposition%20is%0D%0Aan%20m-by-n%20orthogonal%20matrix%20U,%20an%20n-by-n%20diagonal%20matrix%20S,%20and%0D%0Aan%20n-by-n%20orthogonal%20matrix%20V%20so%20that%20A%20=%20U*S*V'.html"><i class="icon-folder-open"></i> JAMA
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___clone" title="__clone :: Implement PHP __clone to create a deep clone, not just a shallow copy."><span class="description">Implement PHP __clone to create a deep clone, not just a shallow copy.</span><pre>__clone()</pre></a></li>
<li class="method public "><a href="#method___construct" title="__construct :: Create a new PHPExcel_HashTable"><span class="description">Create a new PHPExcel_HashTable</span><pre>__construct()</pre></a></li>
<li class="method public "><a href="#method_add" title="add :: Add HashTable item"><span class="description">Add HashTable item</span><pre>add()</pre></a></li>
<li class="method public "><a href="#method_addFromSource" title="addFromSource :: Add HashTable items from source"><span class="description">Add HashTable items from source</span><pre>addFromSource()</pre></a></li>
<li class="method public "><a href="#method_clear" title="clear :: Clear HashTable"><span class="description">Clear HashTable</span><pre>clear()</pre></a></li>
<li class="method public "><a href="#method_count" title="count :: Count"><span class="description">Count</span><pre>count()</pre></a></li>
<li class="method public "><a href="#method_getByHashCode" title="getByHashCode :: Get by hashcode"><span class="description">Get by hashcode</span><pre>getByHashCode()</pre></a></li>
<li class="method public "><a href="#method_getByIndex" title="getByIndex :: Get by index"><span class="description">Get by index</span><pre>getByIndex()</pre></a></li>
<li class="method public "><a href="#method_getIndexForHashCode" title="getIndexForHashCode :: Get index for hash code"><span class="description">Get index for hash code</span><pre>getIndexForHashCode()</pre></a></li>
<li class="method public "><a href="#method_remove" title="remove :: Remove HashTable item"><span class="description">Remove HashTable item</span><pre>remove()</pre></a></li>
<li class="method public "><a href="#method_toArray" title="toArray :: HashTable to array"><span class="description">HashTable to array</span><pre>toArray()</pre></a></li>
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<i class="icon-custom icon-property"></i> Properties
                    <ul>
<li class="property public "><a href="#property__items" title="$_items :: HashTable elements"><span class="description"></span><pre>$_items</pre></a></li>
<li class="property public "><a href="#property__keyMap" title="$_keyMap :: HashTable key map"><span class="description"></span><pre>$_keyMap</pre></a></li>
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<div class="element class">
<p class="short_description">PHPExcel_HashTable</p>
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<td>PHPExcel</td>
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<h3>
<i class="icon-custom icon-method"></i> Methods</h3>
<a id="method___clone"></a><div class="element clickable method public method___clone" data-toggle="collapse" data-target=".method___clone .collapse">
<h2>Implement PHP __clone to create a deep clone, not just a shallow copy.</h2>
<pre>__clone() </pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>
</div>
<a id="method___construct"></a><div class="element clickable method public method___construct" data-toggle="collapse" data-target=".method___construct .collapse">
<h2>Create a new PHPExcel_HashTable</h2>
<pre>__construct(<a href="PHPExcel.IComparable.html#%5CPHPExcel_IComparable">\PHPExcel_IComparable[]</a> $pSource) </pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description">
<div class="long_description"></div>
<h3>Parameters</h3>
<div class="subelement argument">
<h4>$pSource</h4>
<code><a href="PHPExcel.IComparable.html#%5CPHPExcel_IComparable">\PHPExcel_IComparable[]</a></code><p>Optional source array to create HashTable from</p></div>
<h3>Exceptions</h3>
<table class="table table-bordered"><tr>
<th><code><a href="../classes/PHPExcel_Exception.html">\PHPExcel_Exception</a></code></th>
<td></td>
</tr></table>
</div></div>
</div>
<a id="method_add"></a><div class="element clickable method public method_add" data-toggle="collapse" data-target=".method_add .collapse">
<h2>Add HashTable item</h2>
<pre>add(\PHPExcel_IComparable $pSource) </pre>
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<div class="row collapse"><div class="detail-description">
<div class="long_description"></div>
<h3>Parameters</h3>
<div class="subelement argument">
<h4>$pSource</h4>
<code><a href="../classes/PHPExcel_IComparable.html">\PHPExcel_IComparable</a></code><p>Item to add</p></div>
<h3>Exceptions</h3>
<table class="table table-bordered"><tr>
<th><code><a href="../classes/PHPExcel_Exception.html">\PHPExcel_Exception</a></code></th>
<td></td>
</tr></table>
</div></div>
</div>
<a id="method_addFromSource"></a><div class="element clickable method public method_addFromSource" data-toggle="collapse" data-target=".method_addFromSource .collapse">
<h2>Add HashTable items from source</h2>
<pre>addFromSource(<a href="PHPExcel.IComparable.html#%5CPHPExcel_IComparable">\PHPExcel_IComparable[]</a> $pSource) </pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description">
<div class="long_description"></div>
<h3>Parameters</h3>
<div class="subelement argument">
<h4>$pSource</h4>
<code><a href="PHPExcel.IComparable.html#%5CPHPExcel_IComparable">\PHPExcel_IComparable[]</a></code><p>Source array to create HashTable from</p></div>
<h3>Exceptions</h3>
<table class="table table-bordered"><tr>
<th><code><a href="../classes/PHPExcel_Exception.html">\PHPExcel_Exception</a></code></th>
<td></td>
</tr></table>
</div></div>
</div>
<a id="method_clear"></a><div class="element clickable method public method_clear" data-toggle="collapse" data-target=".method_clear .collapse">
<h2>Clear HashTable</h2>
<pre>clear() </pre>
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</div>
<a id="method_count"></a><div class="element clickable method public method_count" data-toggle="collapse" data-target=".method_count .collapse">
<h2>Count</h2>
<pre>count() : int</pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description">
<div class="long_description"></div>
<h3>Returns</h3>
<div class="subelement response"><code>int</code></div>
</div></div>
</div>
<a id="method_getByHashCode"></a><div class="element clickable method public method_getByHashCode" data-toggle="collapse" data-target=".method_getByHashCode .collapse">
<h2>Get by hashcode</h2>
<pre>getByHashCode(string $pHashCode) : <a href="../classes/PHPExcel_IComparable.html">\PHPExcel_IComparable</a></pre>
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<div class="row collapse"><div class="detail-description">
<div class="long_description"></div>
<h3>Parameters</h3>
<div class="subelement argument">
<h4>$pHashCode</h4>
<code>string</code>
</div>
<h3>Returns</h3>
<div class="subelement response"><code><a href="../classes/PHPExcel_IComparable.html">\PHPExcel_IComparable</a></code></div>
</div></div>
</div>
<a id="method_getByIndex"></a><div class="element clickable method public method_getByIndex" data-toggle="collapse" data-target=".method_getByIndex .collapse">
<h2>Get by index</h2>
<pre>getByIndex(int $pIndex) : <a href="../classes/PHPExcel_IComparable.html">\PHPExcel_IComparable</a></pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description">
<div class="long_description"></div>
<h3>Parameters</h3>
<div class="subelement argument">
<h4>$pIndex</h4>
<code>int</code>
</div>
<h3>Returns</h3>
<div class="subelement response"><code><a href="../classes/PHPExcel_IComparable.html">\PHPExcel_IComparable</a></code></div>
</div></div>
</div>
<a id="method_getIndexForHashCode"></a><div class="element clickable method public method_getIndexForHashCode" data-toggle="collapse" data-target=".method_getIndexForHashCode .collapse">
<h2>Get index for hash code</h2>
<pre>getIndexForHashCode(string $pHashCode) : int</pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description">
<div class="long_description"></div>
<h3>Parameters</h3>
<div class="subelement argument">
<h4>$pHashCode</h4>
<code>string</code>
</div>
<h3>Returns</h3>
<div class="subelement response">
<code>int</code>Index</div>
</div></div>
</div>
<a id="method_remove"></a><div class="element clickable method public method_remove" data-toggle="collapse" data-target=".method_remove .collapse">
<h2>Remove HashTable item</h2>
<pre>remove(\PHPExcel_IComparable $pSource) </pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description">
<div class="long_description"></div>
<h3>Parameters</h3>
<div class="subelement argument">
<h4>$pSource</h4>
<code><a href="../classes/PHPExcel_IComparable.html">\PHPExcel_IComparable</a></code><p>Item to remove</p></div>
<h3>Exceptions</h3>
<table class="table table-bordered"><tr>
<th><code><a href="../classes/PHPExcel_Exception.html">\PHPExcel_Exception</a></code></th>
<td></td>
</tr></table>
</div></div>
</div>
<a id="method_toArray"></a><div class="element clickable method public method_toArray" data-toggle="collapse" data-target=".method_toArray .collapse">
<h2>HashTable to array</h2>
<pre>toArray() : <a href="PHPExcel.IComparable.html#%5CPHPExcel_IComparable">\PHPExcel_IComparable[]</a></pre>
<div class="labels"></div>
<div class="row collapse"><div class="detail-description">
<div class="long_description"></div>
<h3>Returns</h3>
<div class="subelement response"><code><a href="PHPExcel.IComparable.html#%5CPHPExcel_IComparable">\PHPExcel_IComparable[]</a></code></div>
</div></div>
</div>
<h3>
<i class="icon-custom icon-property"></i> Properties</h3>
<a id="property__items"> </a><div class="element clickable property public property__items" data-toggle="collapse" data-target=".property__items .collapse">
<h2></h2>
<pre>$_items : array</pre>
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</div>
<a id="property__keyMap"> </a><div class="element clickable property public property__keyMap" data-toggle="collapse" data-target=".property__keyMap .collapse">
<h2></h2>
<pre>$_keyMap : array</pre>
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