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  21.                                     API Documentation <b class="caret"></b></a><ul class="dropdown-menu">
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  22. <li><a>Packages</a></li>
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  23. <li><a href="../packages/Default.html"><i class="icon-folder-open"></i> Default</a></li>
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  24. <li><a href="../packages/JAMA.html"><i class="icon-folder-open"></i> JAMA</a></li>
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    26. 

  26. Cholesky decomposition class

    27. 

  27. For a symmetric, positive definite matrix A, the Cholesky decomposition

    28. 

  28. is an lower triangular matrix L so that A = L*L'</a></li>
    29. 

  29. <li><a href="../packages/JAMA%0D%0AClass%20to%20obtain%20eigenvalues%20and%20eigenvectors%20of%20a%20real%20matrix.html"><i class="icon-folder-open"></i> JAMA

    30. 

  30. Class to obtain eigenvalues and eigenvectors of a real matrix</a></li>
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  31. <li><a href="../packages/JAMA%0D%0AError%20handling.html"><i class="icon-folder-open"></i> JAMA

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  32. Error handling</a></li>
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  33. <li><a href="../packages/JAMA%0D%0AFor%20an%20m-by-n%20matrix%20A%20with%20m%20&gt;=%20n,%20the%20LU%20decomposition%20is%20an%20m-by-n%0D%0Aunit%20lower%20triangular%20matrix%20L,%20an%20n-by-n%20upper%20triangular%20matrix%20U,%0D%0Aand%20a%20permutation%20vector%20piv%20of%20length%20m%20so%20that%20A(piv,:)%20=%20L*U.html"><i class="icon-folder-open"></i> JAMA

    34. 

  34. For an m-by-n matrix A with m &gt;= n, the LU decomposition is an m-by-n

    35. 

  35. unit lower triangular matrix L, an n-by-n upper triangular matrix U,

    36. 

  36. and a permutation vector piv of length m so that A(piv,:) = L*U</a></li>
    37. 

  37. <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

    38. 

  38. For an m-by-n matrix A with m &gt;= n, the QR decomposition is an m-by-n

    39. 

  39. orthogonal matrix Q and an n-by-n upper triangular matrix R so that

    40. 

  40. A = Q*R</a></li>
    41. 

  41. <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

    42. 

  42. For an m-by-n matrix A with m &gt;= n, the singular value decomposition is

    43. 

  43. an m-by-n orthogonal matrix U, an n-by-n diagonal matrix S, and

    44. 

  44. an n-by-n orthogonal matrix V so that A = U*S*V'</a></li>
    45. 

  45. <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

    46. 

  46. Pythagorean Theorem:

    47. 

  47. a = 3

    48. 

  48. b = 4

    49. 

  49. r = sqrt(square(a) + square(b))

    50. 

  50. r = 5

    51. 

  51. r = sqrt(a^2 + b^2) without under/overflow</a></li>
    52. 

  52. <li><a href="../packages/PHPExcel.html"><i class="icon-folder-open"></i> PHPExcel</a></li>
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  55. <li class="dropdown" id="charts-menu">
    56. 

  56. <a href="#charts" class="dropdown-toggle" data-toggle="dropdown">
    57. 

  57.                                     Charts <b class="caret"></b></a><ul class="dropdown-menu"><li><a href="../graph_class.html"><i class="icon-list-alt"></i> Class hierarchy diagram</a></li></ul>
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  60. <a href="#reports" class="dropdown-toggle" data-toggle="dropdown">
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  61.                                     Reports <b class="caret"></b></a><ul class="dropdown-menu">
    62. 

  62. <li><a href="../errors.html"><i class="icon-remove-sign"></i> Errors 
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  63.                 <span class="label label-info">519</span></a></li>
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  64. <li><a href="../markers.html"><i class="icon-map-marker"></i> Markers 
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  65.                 <ul>
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  66. <li>todo 
    67. 

  67.                 <span class="label label-info">19</span>
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    69. 

  69. <li>fixme 
    70. 

  70.                 <span class="label label-info">10</span>
    71. 

  71. </li>
    72. 

  72. </ul></a></li>
    73. 

  73. <li><a href="../deprecated.html"><i class="icon-stop"></i> Deprecated elements 
    74. 

  74.                 <span class="label label-info">12</span></a></li>
    75. 

  75. </ul>
    76. 

  76. </li>
    77. 

  77. </ul></div>
    78. 

  78. </div></div>
    79. 

  79. <div class="go_to_top"><a href="#___" style="color: inherit">Back to top  <i class="icon-upload icon-white"></i></a></div>
    80. 

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    81. 

  81. <div id="___" class="container">
    82. 

  82. <noscript><div class="alert alert-warning">
    83. 

  83.                             Javascript is disabled; several features are only available
    84. 

  84.                             if Javascript is enabled.
    85. 

  85.                         </div></noscript>
    86. 

  86. <div class="row">
    87. 

  87. <div class="span4">
    88. 

  88. <span class="btn-group visibility" data-toggle="buttons-checkbox"><button class="btn public active" title="Show public elements">Public</button><button class="btn protected" title="Show protected elements">Protected</button><button class="btn private" title="Show private elements">Private</button><button class="btn inherited active" title="Show inherited elements">Inherited</button></span><div class="btn-group view pull-right" data-toggle="buttons-radio">
    89. 

  89. <button class="btn details" title="Show descriptions and method names"><i class="icon-list"></i></button><button class="btn simple" title="Show only method names"><i class="icon-align-justify"></i></button>
    90. 

  90. </div>
    91. 

  91. <ul class="side-nav nav nav-list">
    92. 

  92. <li class="nav-header">
    93. 

  93. <i class="icon-custom icon-method"></i> Methods
    94. 

  94.                     <ul>
    95. 

  95. <li class="method public "><a href="#method_addChild" title="addChild :: Add a child."><span class="description">Add a child.</span><pre>addChild()</pre></a></li>
    96. 

  96. <li class="method public "><a href="#method_getAllSpContainers" title="getAllSpContainers :: Recursively get all spContainers within this spgrContainer"><span class="description">Recursively get all spContainers within this spgrContainer</span><pre>getAllSpContainers()</pre></a></li>
    97. 

  97. <li class="method public "><a href="#method_getChildren" title="getChildren :: Get collection of Shape Containers"><span class="description">Get collection of Shape Containers</span><pre>getChildren()</pre></a></li>
    98. 

  98. <li class="method public "><a href="#method_getParent" title="getParent :: Get the parent Shape Group Container if any"><span class="description">Get the parent Shape Group Container if any</span><pre>getParent()</pre></a></li>
    99. 

  99. <li class="method public "><a href="#method_setParent" title="setParent :: Set parent Shape Group Container"><span class="description">Set parent Shape Group Container</span><pre>setParent()</pre></a></li>
    100. 

  100. </ul>
    101. 

  101. </li>
    102. 

  102. <li class="nav-header">
    103. 

  103. <i class="icon-custom icon-property"></i> Properties
    104. 

  104.                     <ul></ul>
    105. 

  105. </li>
    106. 

  106. <li class="nav-header private">» Private
    107. 

  107.                     <ul>
    108. 

  108. <li class="property private "><a href="#property__children" title="$_children :: Shape Container collection"><span class="description"></span><pre>$_children</pre></a></li>
    109. 

  109. <li class="property private "><a href="#property__parent" title="$_parent :: Parent Shape Group Container"><span class="description"></span><pre>$_parent</pre></a></li>
    110. 

  110. </ul>
    111. 

  111. </li>
    112. 

  112. </ul>
    113. 

  113. </div>
    114. 

  114. <div class="span8">
    115. 

  115. <a id="\PHPExcel_Shared_Escher_DgContainer_SpgrContainer"></a><ul class="breadcrumb">
    116. 

  116. <li>
    117. 

  117. <a href="../index.html"><i class="icon-custom icon-class"></i></a><span class="divider">\</span>
    118. 

  118. </li>
    119. 

  119. <li><a href="../namespaces/global.html">global</a></li>
    120. 

  120. <li class="active">
    121. 

  121. <span class="divider">\</span><a href="../classes/PHPExcel_Shared_Escher_DgContainer_SpgrContainer.html">PHPExcel_Shared_Escher_DgContainer_SpgrContainer</a>
    122. 

  122. </li>
    123. 

  123. </ul>
    124. 

  124. <div class="element class">
    125. 

  125. <p class="short_description">PHPExcel_Shared_Escher_DgContainer_SpgrContainer</p>
    126. 

  126. <div class="details">
    127. 

  127. <div class="long_description"></div>
    128. 

  128. <table class="table table-bordered">
    129. 

  129. <tr>
    130. 

  130. <th>category</th>
    131. 

  131. <td>PHPExcel</td>
    132. 

  132. </tr>
    133. 

  133. <tr>
    134. 

  134. <th>package</th>
    135. 

  135. <td><a href="../packages/PHPExcel.Shared.Escher.html">PHPExcel_Shared_Escher</a></td>
    136. 

  136. </tr>
    137. 

  137. <tr>
    138. 

  138. <th>copyright</th>
    139. 

  139. <td>Copyright (c) 2006 - 2013 PHPExcel (http://www.codeplex.com/PHPExcel)</td>
    140. 

  140. </tr>
    141. 

  141. </table>
    142. 

  142. <h3>
    143. 

  143. <i class="icon-custom icon-method"></i> Methods</h3>
    144. 

  144. <a id="method_addChild"></a><div class="element clickable method public method_addChild" data-toggle="collapse" data-target=".method_addChild .collapse">
    145. 

  145. <h2>Add a child.</h2>
    146. 

  146. <pre>addChild(mixed $child) </pre>
    147. 

  147. <div class="labels"></div>
    148. 

  148. <div class="row collapse"><div class="detail-description">
    149. 

  149. <div class="long_description"><p>This will be either spgrContainer or spContainer</p></div>
    150. 

  150. <h3>Parameters</h3>
    151. 

  151. <div class="subelement argument">
    152. 

  152. <h4>$child</h4>
    153. 

  153. <code>mixed</code>
    154. 

  154. </div>
    155. 

  155. </div></div>
    156. 

  156. </div>
    157. 

  157. <a id="method_getAllSpContainers"></a><div class="element clickable method public method_getAllSpContainers" data-toggle="collapse" data-target=".method_getAllSpContainers .collapse">
    158. 

  158. <h2>Recursively get all spContainers within this spgrContainer</h2>
    159. 

  159. <pre>getAllSpContainers() : <a href="PHPExcel.Shared.Escher.DgContainer.SpgrContainer.SpContainer.html#%5CPHPExcel_Shared_Escher_DgContainer_SpgrContainer_SpContainer">\PHPExcel_Shared_Escher_DgContainer_SpgrContainer_SpContainer[]</a></pre>
    160. 

  160. <div class="labels"></div>
    161. 

  161. <div class="row collapse"><div class="detail-description">
    162. 

  162. <div class="long_description"></div>
    163. 

  163. <h3>Returns</h3>
    164. 

  164. <div class="subelement response"><code><a href="PHPExcel.Shared.Escher.DgContainer.SpgrContainer.SpContainer.html#%5CPHPExcel_Shared_Escher_DgContainer_SpgrContainer_SpContainer">\PHPExcel_Shared_Escher_DgContainer_SpgrContainer_SpContainer[]</a></code></div>
    165. 

  165. </div></div>
    166. 

  166. </div>
    167. 

  167. <a id="method_getChildren"></a><div class="element clickable method public method_getChildren" data-toggle="collapse" data-target=".method_getChildren .collapse">
    168. 

  168. <h2>Get collection of Shape Containers</h2>
    169. 

  169. <pre>getChildren() </pre>
    170. 

  170. <div class="labels"></div>
    171. 

  171. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>
    172. 

  172. </div>
    173. 

  173. <a id="method_getParent"></a><div class="element clickable method public method_getParent" data-toggle="collapse" data-target=".method_getParent .collapse">
    174. 

  174. <h2>Get the parent Shape Group Container if any</h2>
    175. 

  175. <pre>getParent() : <a href="../classes/PHPExcel_Shared_Escher_DgContainer_SpgrContainer.html">\PHPExcel_Shared_Escher_DgContainer_SpgrContainer</a> | null</pre>
    176. 

  176. <div class="labels"></div>
    177. 

  177. <div class="row collapse"><div class="detail-description">
    178. 

  178. <div class="long_description"></div>
    179. 

  179. <h3>Returns</h3>
    180. 

  180. <div class="subelement response">
    181. 

  181. <code><a href="../classes/PHPExcel_Shared_Escher_DgContainer_SpgrContainer.html">\PHPExcel_Shared_Escher_DgContainer_SpgrContainer</a></code><code>null</code>
    182. 

  182. </div>
    183. 

  183. </div></div>
    184. 

  184. </div>
    185. 

  185. <a id="method_setParent"></a><div class="element clickable method public method_setParent" data-toggle="collapse" data-target=".method_setParent .collapse">
    186. 

  186. <h2>Set parent Shape Group Container</h2>
    187. 

  187. <pre>setParent(<a href="../classes/PHPExcel_Shared_Escher_DgContainer_SpgrContainer.html">\PHPExcel_Shared_Escher_DgContainer_SpgrContainer</a> $parent) </pre>
    188. 

  188. <div class="labels"></div>
    189. 

  189. <div class="row collapse"><div class="detail-description">
    190. 

  190. <div class="long_description"></div>
    191. 

  191. <h3>Parameters</h3>
    192. 

  192. <div class="subelement argument">
    193. 

  193. <h4>$parent</h4>
    194. 

  194. <code><a href="../classes/PHPExcel_Shared_Escher_DgContainer_SpgrContainer.html">\PHPExcel_Shared_Escher_DgContainer_SpgrContainer</a></code>
    195. 

  195. </div>
    196. 

  196. </div></div>
    197. 

  197. </div>
    198. 

  198. <h3>
    199. 

  199. <i class="icon-custom icon-property"></i> Properties</h3>
    200. 

  200. <a id="property__children"> </a><div class="element clickable property private property__children" data-toggle="collapse" data-target=".property__children .collapse">
    201. 

  201. <h2></h2>
    202. 

  202. <pre>$_children : array</pre>
    203. 

  203. <div class="labels"></div>
    204. 

  204. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>
    205. 

  205. </div>
    206. 

  206. <a id="property__parent"> </a><div class="element clickable property private property__parent" data-toggle="collapse" data-target=".property__parent .collapse">
    207. 

  207. <h2></h2>
    208. 

  208. <pre>$_parent : <a href="../classes/PHPExcel_Shared_Escher_DgContainer_SpgrContainer.html">\PHPExcel_Shared_Escher_DgContainer_SpgrContainer</a></pre>
    209. 

  209. <div class="labels"></div>
    210. 

  210. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>
    211. 

  211. </div>
    212. 

  212. </div>
    213. 

  213. </div>
    214. 

  214. </div>
    215. 

  215. </div>
    216. 

  216. <div class="row"><footer class="span12">
    217. 

  217.             Template is built using <a href="http://twitter.github.com/bootstrap/">Twitter Bootstrap 2</a> and icons provided by <a href="http://glyphicons.com/">Glyphicons</a>.<br>
    218. 

  218.             Documentation is powered by <a href="http://www.phpdoc.org/">phpDocumentor 2.0.0a12</a> and<br>
    219. 

  219.             generated on 2013-06-02T15:42:49+01:00.<br></footer></div>
    220. 

  220. </div>
    221. 

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  222. </html>
    223. 

  223.