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<div class="headertitle"><div class="title">GooseFEM::MatrixDiagonalBase&lt; D &gt; Class Template Reference</div></div>
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<p>CRTP base class for a partitioned matrix with tying.
<a href="#details">More...</a></p>
<p><code>#include &lt;<a class="el" href="MatrixDiagonal_8h_source.html">GooseFEM/MatrixDiagonal.h</a>&gt;</code></p>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pub-types" name="pub-types"></a>
Public Types</h2></td></tr>
<tr class="memitem:aeb86e8a536f179e0c2701ca7efb5f1c7" id="r_aeb86e8a536f179e0c2701ca7efb5f1c7"><td class="memItemLeft" align="right" valign="top"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">using</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aeb86e8a536f179e0c2701ca7efb5f1c7">derived_type</a> = <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a></td></tr>
<tr class="memdesc:aeb86e8a536f179e0c2701ca7efb5f1c7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Underlying type. <br /></td></tr>
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Public Member Functions</h2></td></tr>
<tr class="memitem:a7429add2ec117de2a42f1e89a73f418c" id="r_a7429add2ec117de2a42f1e89a73f418c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 2 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a7429add2ec117de2a42f1e89a73f418c">Solve</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 2 &gt; &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">b</a>)</td></tr>
<tr class="memdesc:a7429add2ec117de2a42f1e89a73f418c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Solve \( x = A^{-1} b \). <br /></td></tr>
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<tr class="memitem:aacc907be30fff31ebc146ecf95b63a0f" id="r_aacc907be30fff31ebc146ecf95b63a0f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aacc907be30fff31ebc146ecf95b63a0f">Solve</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">b</a>)</td></tr>
<tr class="memdesc:aacc907be30fff31ebc146ecf95b63a0f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Solve \( x = A^{-1} b \). <br /></td></tr>
<tr class="separator:aacc907be30fff31ebc146ecf95b63a0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a087c6ebb297904dfe9747832a67b519a" id="r_a087c6ebb297904dfe9747832a67b519a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">void</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a087c6ebb297904dfe9747832a67b519a">solve</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 2 &gt; &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">b</a>, <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 2 &gt; &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">x</a>)</td></tr>
<tr class="memdesc:a087c6ebb297904dfe9747832a67b519a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Solve \( x = A^{-1} b \). <br /></td></tr>
<tr class="separator:a087c6ebb297904dfe9747832a67b519a"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4fc95e2910b46d55a278341d737f9bd8" id="r_a4fc95e2910b46d55a278341d737f9bd8"><td class="memItemLeft" align="right" valign="top"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">void</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a4fc95e2910b46d55a278341d737f9bd8">solve</a> (<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">b</a>, <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; &amp;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">x</a>)</td></tr>
<tr class="memdesc:a4fc95e2910b46d55a278341d737f9bd8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Solve \( x = A^{-1} b \). <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><div class="compoundTemplParams">template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a>&gt;<br />
class GooseFEM::MatrixDiagonalBase&lt; D &gt;</div><p>CRTP base class for a partitioned matrix with tying. </p>
<p class="definition">Definition at line <a class="el" href="MatrixDiagonal_8h_source.html#l00022">22</a> of file <a class="el" href="MatrixDiagonal_8h_source.html">MatrixDiagonal.h</a>.</p>
</div><h2 class="groupheader">Member Typedef Documentation</h2>
<a id="aeb86e8a536f179e0c2701ca7efb5f1c7" name="aeb86e8a536f179e0c2701ca7efb5f1c7"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aeb86e8a536f179e0c2701ca7efb5f1c7">&#9670;&#160;</a></span>derived_type</h2>
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<div class="memtemplate">
template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a> &gt; </div>
<table class="memname">
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<td class="memname"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">using</a> <a class="el" href="classGooseFEM_1_1MatrixDiagonalBase.html">GooseFEM::MatrixDiagonalBase</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a> &gt;::derived_type = <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a></td>
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<p>Underlying type. </p>
<p class="definition">Definition at line <a class="el" href="MatrixDiagonal_8h_source.html#l00027">27</a> of file <a class="el" href="MatrixDiagonal_8h_source.html">MatrixDiagonal.h</a>.</p>
</div>
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<h2 class="groupheader">Member Function Documentation</h2>
<a id="aacc907be30fff31ebc146ecf95b63a0f" name="aacc907be30fff31ebc146ecf95b63a0f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aacc907be30fff31ebc146ecf95b63a0f">&#9670;&#160;</a></span>Solve() <span class="overload">[1/2]</span></h2>
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template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a> &gt; </div>
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<td class="memname"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; <a class="el" href="classGooseFEM_1_1MatrixDiagonalBase.html">GooseFEM::MatrixDiagonalBase</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a> &gt;::Solve </td>
<td>(</td>
<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>b</em></span></td><td>)</td>
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<p>Solve \( x = A^{-1} b \). </p>
<p>For <a class="el" href="classGooseFEM_1_1MatrixDiagonalPartitioned.html" title="Diagonal and partitioned matrix.">GooseFEM::MatrixDiagonalPartitioned</a> under the hood solved \( x_u = A_{uu}^{-1} (b_u - A_{up} * x_p) \equiv A_{uu}^{-1} b_u \). Use <a class="el" href="classGooseFEM_1_1MatrixPartitionedBase.html#ae48eba03e3b32d8240b19ec242952f9e" title="Right-hand-size for corresponding to the prescribed DOFs:">GooseFEM::MatrixDiagonalPartitioned::Reaction()</a> to get reaction forces.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">b</td><td>dofval [ndof]. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>x dofval [ndof]. </dd></dl>
<p class="definition">Definition at line <a class="el" href="MatrixDiagonal_8h_source.html#l00070">70</a> of file <a class="el" href="MatrixDiagonal_8h_source.html">MatrixDiagonal.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a4fc95e2910b46d55a278341d737f9bd8">&#9670;&#160;</a></span>solve() <span class="overload">[1/2]</span></h2>
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template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a> &gt; </div>
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<td class="memname"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">void</a> <a class="el" href="classGooseFEM_1_1MatrixDiagonalBase.html">GooseFEM::MatrixDiagonalBase</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a> &gt;::solve </td>
<td>(</td>
<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>b</em>, </span></td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 1 &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>x</em></span>&#160;)</td>
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<p>Solve \( x = A^{-1} b \). </p>
<p>For <a class="el" href="classGooseFEM_1_1MatrixDiagonalPartitioned.html" title="Diagonal and partitioned matrix.">GooseFEM::MatrixDiagonalPartitioned</a> under the hood solved \( x_u = A_{uu}^{-1} (b_u - A_{up} * x_p) \equiv A_{uu}^{-1} b_u \). Use <a class="el" href="classGooseFEM_1_1MatrixPartitionedBase.html#ae48eba03e3b32d8240b19ec242952f9e" title="Right-hand-size for corresponding to the prescribed DOFs:">GooseFEM::MatrixDiagonalPartitioned::Reaction()</a> to get reaction forces.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">b</td><td>nodevec [nelem, ndim]. </td></tr>
<tr><td class="paramname">x</td><td>(overwritten) nodevec [nelem, ndim]. </td></tr>
</table>
</dd>
</dl>
<p class="definition">Definition at line <a class="el" href="MatrixDiagonal_8h_source.html#l00102">102</a> of file <a class="el" href="MatrixDiagonal_8h_source.html">MatrixDiagonal.h</a>.</p>
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<td class="memname"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 2 &gt; <a class="el" href="classGooseFEM_1_1MatrixDiagonalBase.html">GooseFEM::MatrixDiagonalBase</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a> &gt;::Solve </td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 2 &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>b</em></span></td><td>)</td>
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<p>Solve \( x = A^{-1} b \). </p>
<p>Note that this does not involve a conversion to DOFs.</p>
<p>In case of <a class="el" href="classGooseFEM_1_1MatrixDiagonalPartitioned.html" title="Diagonal and partitioned matrix.">GooseFEM::MatrixDiagonalPartitioned</a> under the hood, schematically: \( x_u = A_{uu}^{-1} (b_u - A_{up} * x_p) \equiv A_{uu}^{-1} b_u \) (again, no conversion to DOFs is needed). Use <a class="el" href="classGooseFEM_1_1MatrixPartitionedBase.html#ae48eba03e3b32d8240b19ec242952f9e" title="Right-hand-size for corresponding to the prescribed DOFs:">GooseFEM::MatrixDiagonalPartitioned::Reaction()</a> to get reaction forces.</p>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">b</td><td>nodevec [nelem, ndim]. </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>x nodevec [nelem, ndim]. </dd></dl>
<p class="definition">Definition at line <a class="el" href="MatrixDiagonal_8h_source.html#l00053">53</a> of file <a class="el" href="MatrixDiagonal_8h_source.html">MatrixDiagonal.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a087c6ebb297904dfe9747832a67b519a">&#9670;&#160;</a></span>solve() <span class="overload">[2/2]</span></h2>
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template&lt;<a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">class</a> <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a> &gt; </div>
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<td class="memname"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">void</a> <a class="el" href="classGooseFEM_1_1MatrixDiagonalBase.html">GooseFEM::MatrixDiagonalBase</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">D</a> &gt;::solve </td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">const</a> <a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 2 &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>b</em>, </span></td>
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<td class="paramtype"><a class="el" href="namespaceGooseFEM_1_1array__type.html#adad35bf4db4c7eb54c25136f0f3d34d1">array_type::tensor</a>&lt; <a class="el" href="namespaceGooseFEM.html#acb082fa83b6ad7cf3a04bd7a181cce81">double</a>, 2 &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>x</em></span>&#160;)</td>
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<p>Solve \( x = A^{-1} b \). </p>
<p>For <a class="el" href="classGooseFEM_1_1MatrixDiagonalPartitioned.html" title="Diagonal and partitioned matrix.">GooseFEM::MatrixDiagonalPartitioned</a> under the hood solved \( x_u = A_{uu}^{-1} (b_u - A_{up} * x_p) \equiv A_{uu}^{-1} b_u \). Use <a class="el" href="classGooseFEM_1_1MatrixPartitionedBase.html#ae48eba03e3b32d8240b19ec242952f9e" title="Right-hand-size for corresponding to the prescribed DOFs:">GooseFEM::MatrixDiagonalPartitioned::Reaction()</a> to get reaction forces.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">b</td><td>nodevec [nelem, ndim]. </td></tr>
<tr><td class="paramname">x</td><td>(overwritten) nodevec [nelem, ndim]. </td></tr>
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<p class="definition">Definition at line <a class="el" href="MatrixDiagonal_8h_source.html#l00087">87</a> of file <a class="el" href="MatrixDiagonal_8h_source.html">MatrixDiagonal.h</a>.</p>
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<hr/>The documentation for this class was generated from the following file:<ul>
<li>GooseFEM/<a class="el" href="MatrixDiagonal_8h_source.html">MatrixDiagonal.h</a></li>
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