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<div class="header">
  <div class="summary">
<a href="classEigen_1_1VectorwiseOp-members.html">List of all members</a> &#124;
<a href="#pub-methods">Public Member Functions</a>  </div>
  <div class="headertitle">
<div class="title">VectorwiseOp&lt; ExpressionType, Direction &gt; Class Template Reference<div class="ingroups"><a class="el" href="group__Core__Module.html">Core module</a></div></div>  </div>
</div><!--header-->
<div class="contents">
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><h3>template&lt;typename ExpressionType, int Direction&gt;<br/>
class Eigen::VectorwiseOp&lt; ExpressionType, Direction &gt;</h3>

<p>Pseudo expression providing partial reduction operations. </p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">ExpressionType</td><td>the type of the object on which to do partial reductions </td></tr>
    <tr><td class="paramname">Direction</td><td>indicates the direction of the redux (<a class="el" href="group__enums.html#gga8ef30fa9c08e08c8706653571f9f5b81a2434cd8c1a594a4cdaa250f86639c600">Vertical</a> or <a class="el" href="group__enums.html#gga8ef30fa9c08e08c8706653571f9f5b81a7d5f78c516bedc0a066182a6fd606b8b">Horizontal</a>)</td></tr>
  </table>
  </dd>
</dl>
<p>This class represents a pseudo expression with partial reduction features. It is the return type of <a class="el" href="classEigen_1_1DenseBase.html#abe7ae69362c464b6721adbb47c655874">DenseBase::colwise()</a> and <a class="el" href="classEigen_1_1DenseBase.html#a8a7fd1e8004d4bd93a7ea36957aa8e99">DenseBase::rowwise()</a> and most of the time this is the only way it is used.</p>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga45a14b423c687c3e2e8325f148e27bf3">Matrix3d</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix3d::Random</a>();</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the matrix m:&quot;</span> &lt;&lt; endl &lt;&lt; m &lt;&lt; endl;</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the sum of each column:&quot;</span> &lt;&lt; endl &lt;&lt; m.colwise().sum() &lt;&lt; endl;</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the maximum absolute value of each column:&quot;</span></div>
<div class="line">     &lt;&lt; endl &lt;&lt; m.cwiseAbs().colwise().maxCoeff() &lt;&lt; endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
  0.68  0.597  -0.33
-0.211  0.823  0.536
 0.566 -0.605 -0.444
Here is the sum of each column:
  1.04  0.815 -0.238
Here is the maximum absolute value of each column:
 0.68 0.823 0.536
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#abe7ae69362c464b6721adbb47c655874">DenseBase::colwise()</a>, <a class="el" href="classEigen_1_1DenseBase.html#a8a7fd1e8004d4bd93a7ea36957aa8e99">DenseBase::rowwise()</a>, class <a class="el" href="classEigen_1_1PartialReduxExpr.html" title="Generic expression of a partially reduxed matrix. ">PartialReduxExpr</a> </dd></dl>
</div><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:a3535582e42f802aac9b2f02316dbdd38"><td class="memItemLeft" align="right" valign="top">const ReturnType<br class="typebreak"/>
&lt; internal::member_all &gt;::Type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#a3535582e42f802aac9b2f02316dbdd38">all</a> () const </td></tr>
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<tr class="memitem:a68ab4a7216ecfeeef6073e3879bd70c3"><td class="memItemLeft" align="right" valign="top">const ReturnType<br class="typebreak"/>
&lt; internal::member_any &gt;::Type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#a68ab4a7216ecfeeef6073e3879bd70c3">any</a> () const </td></tr>
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<tr class="memitem:a8804de1a54a51b252c394fb07f19d94a"><td class="memItemLeft" align="right" valign="top">const ReturnType<br class="typebreak"/>
&lt; internal::member_blueNorm, <br class="typebreak"/>
RealScalar &gt;::Type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#a8804de1a54a51b252c394fb07f19d94a">blueNorm</a> () const </td></tr>
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<tr class="memitem:a554a480bd3ca0f3a0113ecef4153b5b7"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1PartialReduxExpr.html">PartialReduxExpr</a><br class="typebreak"/>
&lt; ExpressionType, <br class="typebreak"/>
internal::member_count&lt; Index &gt;<br class="typebreak"/>
, Direction &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#a554a480bd3ca0f3a0113ecef4153b5b7">count</a> () const </td></tr>
<tr class="separator:a554a480bd3ca0f3a0113ecef4153b5b7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a93a7a9d23fc28219f5dd82f3f90222ca"><td class="memTemplParams" colspan="2">template&lt;typename OtherDerived &gt; </td></tr>
<tr class="memitem:a93a7a9d23fc28219f5dd82f3f90222ca"><td class="memTemplItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1VectorwiseOp.html">VectorwiseOp</a><br class="typebreak"/>
&lt; ExpressionType, Direction &gt;<br class="typebreak"/>
::CrossReturnType&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#a93a7a9d23fc28219f5dd82f3f90222ca">cross</a> (const <a class="el" href="classEigen_1_1MatrixBase.html">MatrixBase</a>&lt; OtherDerived &gt; &amp;other) const </td></tr>
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<tr class="memitem:a1162b67a2744d546a6d22ecf56f47131"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1CwiseBinaryOp.html">HNormalizedReturnType</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#a1162b67a2744d546a6d22ecf56f47131">hnormalized</a> () const </td></tr>
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<tr class="memitem:a635f8f9087821d4b3dcebd2997b5f9bd"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1Homogeneous.html">Homogeneous</a>&lt; ExpressionType, <br class="typebreak"/>
Direction &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#a635f8f9087821d4b3dcebd2997b5f9bd">homogeneous</a> () const </td></tr>
<tr class="separator:a635f8f9087821d4b3dcebd2997b5f9bd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac478d60f4ed6bbfb0833b704408999d7"><td class="memItemLeft" align="right" valign="top">const ReturnType<br class="typebreak"/>
&lt; internal::member_hypotNorm, <br class="typebreak"/>
RealScalar &gt;::Type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#ac478d60f4ed6bbfb0833b704408999d7">hypotNorm</a> () const </td></tr>
<tr class="separator:ac478d60f4ed6bbfb0833b704408999d7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae45bc1f13fd426ca7bea74ae4b8f99d6"><td class="memItemLeft" align="right" valign="top">const ReturnType<br class="typebreak"/>
&lt; internal::member_maxCoeff &gt;<br class="typebreak"/>
::Type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#ae45bc1f13fd426ca7bea74ae4b8f99d6">maxCoeff</a> () const </td></tr>
<tr class="separator:ae45bc1f13fd426ca7bea74ae4b8f99d6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3edf1e726d7e3f30d6c9655219dffbe5"><td class="memItemLeft" align="right" valign="top">const ReturnType<br class="typebreak"/>
&lt; internal::member_mean &gt;<br class="typebreak"/>
::Type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#a3edf1e726d7e3f30d6c9655219dffbe5">mean</a> () const </td></tr>
<tr class="separator:a3edf1e726d7e3f30d6c9655219dffbe5"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af53dccc8ce1bcbfc641fc5d155e4bfe8"><td class="memItemLeft" align="right" valign="top">const ReturnType<br class="typebreak"/>
&lt; internal::member_minCoeff &gt;<br class="typebreak"/>
::Type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#af53dccc8ce1bcbfc641fc5d155e4bfe8">minCoeff</a> () const </td></tr>
<tr class="separator:af53dccc8ce1bcbfc641fc5d155e4bfe8"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a45bccb7e3e8031ebc99fdc4898a6806c"><td class="memItemLeft" align="right" valign="top">const ReturnType<br class="typebreak"/>
&lt; internal::member_norm, <br class="typebreak"/>
RealScalar &gt;::Type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#a45bccb7e3e8031ebc99fdc4898a6806c">norm</a> () const </td></tr>
<tr class="separator:a45bccb7e3e8031ebc99fdc4898a6806c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acd0de676568888d848beb97dcc53ae47"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#acd0de676568888d848beb97dcc53ae47">normalize</a> ()</td></tr>
<tr class="separator:acd0de676568888d848beb97dcc53ae47"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac0d3937fc9cba6f251995fbd07110216"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><br class="typebreak"/>
&lt; internal::scalar_quotient_op<br class="typebreak"/>
&lt; Scalar &gt;, const <br class="typebreak"/>
ExpressionTypeNestedCleaned, <br class="typebreak"/>
const typename <br class="typebreak"/>
OppositeExtendedType&lt; typename <br class="typebreak"/>
ReturnType<br class="typebreak"/>
&lt; internal::member_norm, <br class="typebreak"/>
RealScalar &gt;::Type &gt;::Type &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#ac0d3937fc9cba6f251995fbd07110216">normalized</a> () const </td></tr>
<tr class="separator:ac0d3937fc9cba6f251995fbd07110216"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac154305f4f56b0f78d67c8aa1c52e87e"><td class="memTemplParams" colspan="2">template&lt;typename OtherDerived &gt; </td></tr>
<tr class="memitem:ac154305f4f56b0f78d67c8aa1c52e87e"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><br class="typebreak"/>
&lt; internal::scalar_product_op<br class="typebreak"/>
&lt; Scalar &gt;, const <br class="typebreak"/>
ExpressionTypeNestedCleaned, <br class="typebreak"/>
const typename ExtendedType<br class="typebreak"/>
&lt; OtherDerived &gt;::Type &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#ac154305f4f56b0f78d67c8aa1c52e87e">operator*</a> (const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>&lt; OtherDerived &gt; &amp;other) const </td></tr>
<tr class="separator:ac154305f4f56b0f78d67c8aa1c52e87e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abb151c90a593c62a6738e034f9218a23"><td class="memTemplParams" colspan="2">template&lt;typename OtherDerived &gt; </td></tr>
<tr class="memitem:abb151c90a593c62a6738e034f9218a23"><td class="memTemplItemLeft" align="right" valign="top">ExpressionType &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#abb151c90a593c62a6738e034f9218a23">operator*=</a> (const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>&lt; OtherDerived &gt; &amp;other)</td></tr>
<tr class="separator:abb151c90a593c62a6738e034f9218a23"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ade112b4c47a096790a047b6994d8d982"><td class="memTemplParams" colspan="2">template&lt;typename OtherDerived &gt; </td></tr>
<tr class="memitem:ade112b4c47a096790a047b6994d8d982"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><br class="typebreak"/>
&lt; internal::scalar_sum_op<br class="typebreak"/>
&lt; Scalar &gt;, const <br class="typebreak"/>
ExpressionTypeNestedCleaned, <br class="typebreak"/>
const typename ExtendedType<br class="typebreak"/>
&lt; OtherDerived &gt;::Type &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#ade112b4c47a096790a047b6994d8d982">operator+</a> (const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>&lt; OtherDerived &gt; &amp;other) const </td></tr>
<tr class="separator:ade112b4c47a096790a047b6994d8d982"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af3ddaf5c89daf6fbe41ffb65f91fafdd"><td class="memTemplParams" colspan="2">template&lt;typename OtherDerived &gt; </td></tr>
<tr class="memitem:af3ddaf5c89daf6fbe41ffb65f91fafdd"><td class="memTemplItemLeft" align="right" valign="top">ExpressionType &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#af3ddaf5c89daf6fbe41ffb65f91fafdd">operator+=</a> (const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>&lt; OtherDerived &gt; &amp;other)</td></tr>
<tr class="separator:af3ddaf5c89daf6fbe41ffb65f91fafdd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a146098648dcf02be5c827938e9cfcc2d"><td class="memTemplParams" colspan="2">template&lt;typename OtherDerived &gt; </td></tr>
<tr class="memitem:a146098648dcf02be5c827938e9cfcc2d"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classEigen_1_1CwiseBinaryOp.html">CwiseBinaryOp</a><br class="typebreak"/>
&lt; internal::scalar_difference_op<br class="typebreak"/>
&lt; Scalar &gt;, const <br class="typebreak"/>
ExpressionTypeNestedCleaned, <br class="typebreak"/>
const typename ExtendedType<br class="typebreak"/>
&lt; OtherDerived &gt;::Type &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#a146098648dcf02be5c827938e9cfcc2d">operator-</a> (const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>&lt; OtherDerived &gt; &amp;other) const </td></tr>
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<tr class="memitem:a6d1e24810f6b86de45a8c2323aeafd19"><td class="memTemplParams" colspan="2">template&lt;typename OtherDerived &gt; </td></tr>
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<tr class="memitem:a9234e61ac3a965ca03ce3a10ec5d2821"><td class="memTemplParams" colspan="2">template&lt;typename OtherDerived &gt; </td></tr>
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&lt; internal::scalar_quotient_op<br class="typebreak"/>
&lt; Scalar &gt;, const <br class="typebreak"/>
ExpressionTypeNestedCleaned, <br class="typebreak"/>
const typename ExtendedType<br class="typebreak"/>
&lt; OtherDerived &gt;::Type &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#a9234e61ac3a965ca03ce3a10ec5d2821">operator/</a> (const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>&lt; OtherDerived &gt; &amp;other) const </td></tr>
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<tr class="memitem:abf8e26e47a2eb1a7d71e441a7c6cf455"><td class="memTemplParams" colspan="2">template&lt;typename OtherDerived &gt; </td></tr>
<tr class="memitem:abf8e26e47a2eb1a7d71e441a7c6cf455"><td class="memTemplItemLeft" align="right" valign="top">ExpressionType &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#abf8e26e47a2eb1a7d71e441a7c6cf455">operator/=</a> (const <a class="el" href="classEigen_1_1DenseBase.html">DenseBase</a>&lt; OtherDerived &gt; &amp;other)</td></tr>
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<tr class="memitem:a64b778a6e321b207f62530fcc3ed690f"><td class="memItemLeft" align="right" valign="top">const ReturnType<br class="typebreak"/>
&lt; internal::member_prod &gt;<br class="typebreak"/>
::Type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#a64b778a6e321b207f62530fcc3ed690f">prod</a> () const </td></tr>
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<tr class="memitem:a12ed8da7c7d83cdc68e9cbbde358a164"><td class="memTemplParams" colspan="2">template&lt;typename BinaryOp &gt; </td></tr>
<tr class="memitem:a12ed8da7c7d83cdc68e9cbbde358a164"><td class="memTemplItemLeft" align="right" valign="top">const ReduxReturnType<br class="typebreak"/>
&lt; BinaryOp &gt;::Type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#a12ed8da7c7d83cdc68e9cbbde358a164">redux</a> (const BinaryOp &amp;func=BinaryOp()) const </td></tr>
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<tr class="memitem:a9a078997c488c2d83fbd45108af26e1d"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Replicate.html">ReplicateReturnType</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#a9a078997c488c2d83fbd45108af26e1d">replicate</a> (Index factor) const </td></tr>
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<tr class="memitem:a5a64491d1ee839cf717328f17a1ffc45"><td class="memTemplItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Replicate.html">Replicate</a><br class="typebreak"/>
&lt; ExpressionType,(IsVertical?Factor:1),(IsHorizontal?Factor:1)&gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#a5a64491d1ee839cf717328f17a1ffc45">replicate</a> (Index factor=Factor) const </td></tr>
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<tr class="memitem:a04e38b3a68fe5ae6908594f3b1ec618c"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classEigen_1_1Reverse.html">Reverse</a>&lt; ExpressionType, <br class="typebreak"/>
Direction &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#a04e38b3a68fe5ae6908594f3b1ec618c">reverse</a> () const </td></tr>
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<tr class="memitem:ad56e72700d9ee45893c41533d8c46945"><td class="memItemLeft" align="right" valign="top">const ReturnType<br class="typebreak"/>
&lt; internal::member_squaredNorm, <br class="typebreak"/>
RealScalar &gt;::Type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#ad56e72700d9ee45893c41533d8c46945">squaredNorm</a> () const </td></tr>
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<tr class="memitem:ac32ca2926dfc6a21859c0aa9e8eb1bcb"><td class="memItemLeft" align="right" valign="top">const ReturnType<br class="typebreak"/>
&lt; internal::member_stableNorm, <br class="typebreak"/>
RealScalar &gt;::Type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#ac32ca2926dfc6a21859c0aa9e8eb1bcb">stableNorm</a> () const </td></tr>
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<tr class="memitem:af27cb8c9043ed6408e64f94645439362"><td class="memItemLeft" align="right" valign="top">const ReturnType<br class="typebreak"/>
&lt; internal::member_sum &gt;::Type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classEigen_1_1VectorwiseOp.html#af27cb8c9043ed6408e64f94645439362">sum</a> () const </td></tr>
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<h2 class="groupheader">Member Function Documentation</h2>
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<dl class="section return"><dt>Returns</dt><dd>a row (or column) vector expression representing whether <b>all</b> coefficients of each respective column (or row) are <code>true</code>.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#aea914316af61df197f21629e14e7870a">DenseBase::all()</a> </dd></dl>

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<dl class="section return"><dt>Returns</dt><dd>a row (or column) vector expression representing whether <b>at</b> <b>least</b> one coefficient of each respective column (or row) is <code>true</code>.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a42571e028736ca9103bac8b50f269824">DenseBase::any()</a> </dd></dl>

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<dl class="section return"><dt>Returns</dt><dd>a row (or column) vector expression of the norm of each column (or row) of the referenced expression, using blue's algorithm.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>DenseBase::blueNorm() </dd></dl>

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<dl class="section return"><dt>Returns</dt><dd>a row (or column) vector expression representing the number of <code>true</code> coefficients of each respective column (or row).</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga45a14b423c687c3e2e8325f148e27bf3">Matrix3d</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix3d::Random</a>();</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the matrix m:&quot;</span> &lt;&lt; endl &lt;&lt; m &lt;&lt; endl;</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the count of elements larger or equal than 0.5 of each row:&quot;</span> &lt;&lt; endl &lt;&lt; (m.array() &gt;= 0.5).rowwise().count() &lt;&lt; endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
  0.68  0.597  -0.33
-0.211  0.823  0.536
 0.566 -0.605 -0.444
Here is the count of elements larger or equal than 0.5 of each row:
2
2
1
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#aa671b5ea336ba21a7644d3fa6577ee00">DenseBase::count()</a> </dd></dl>

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<dl class="section return"><dt>Returns</dt><dd>a matrix expression of the cross product of each column or row of the referenced expression with the <em>other</em> vector.</dd></dl>
<p>The referenced matrix must have one dimension equal to 3. The result matrix has the same dimensions than the referenced one.</p>
<p>This is defined in the Geometry module.</p>
<div class="fragment"><div class="line"><span class="preprocessor">#include &lt;Eigen/Geometry&gt;</span> </div>
</div><!-- fragment --><dl class="section see"><dt>See Also</dt><dd>MatrixBase::cross() </dd></dl>

<p>References <a class="el" href="classEigen_1_1DenseBase.html#a58c77695de3b33405f01f2fdf3dc389d">DenseBase&lt; Derived &gt;::col()</a>, <a class="el" href="classEigen_1_1DenseBase.html#aa8716d44f51321072ee5c88665c28813">DenseBase&lt; Derived &gt;::row()</a>, and <a class="el" href="group__enums.html#gga8ef30fa9c08e08c8706653571f9f5b81a2434cd8c1a594a4cdaa250f86639c600">Eigen::Vertical</a>.</p>

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<p>This is defined in the Geometry module.</p>
<div class="fragment"><div class="line"><span class="preprocessor">#include &lt;Eigen/Geometry&gt;</span> </div>
</div><!-- fragment --><dl class="section return"><dt>Returns</dt><dd>an expression of the homogeneous normalized vector of <code>*this</code> </dd></dl>
<p>Example: </p>
<div class="fragment"></div><!-- fragment --><p> Output: </p>
<pre class="fragment"></pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#adcf645f676d798fc19417d3ce43484d0">MatrixBase::hnormalized()</a> </dd></dl>

<p>References <a class="el" href="group__enums.html#gga8ef30fa9c08e08c8706653571f9f5b81a7d5f78c516bedc0a066182a6fd606b8b">Eigen::Horizontal</a>, and <a class="el" href="group__enums.html#gga8ef30fa9c08e08c8706653571f9f5b81a2434cd8c1a594a4cdaa250f86639c600">Eigen::Vertical</a>.</p>

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<p>This is defined in the Geometry module.</p>
<div class="fragment"><div class="line"><span class="preprocessor">#include &lt;Eigen/Geometry&gt;</span> </div>
</div><!-- fragment --><dl class="section return"><dt>Returns</dt><dd>a matrix expression of homogeneous column (or row) vectors</dd></dl>
<p>Example: </p>
<div class="fragment"></div><!-- fragment --><p> Output: </p>
<pre class="fragment"></pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#af3513a0abfc3875e6d1912b8bb7b28ac">MatrixBase::homogeneous()</a> </dd></dl>

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<dl class="section return"><dt>Returns</dt><dd>a row (or column) vector expression of the norm of each column (or row) of the referenced expression, avoiding underflow and overflow using a concatenation of hypot() calls.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>DenseBase::hypotNorm() </dd></dl>

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<dl class="section return"><dt>Returns</dt><dd>a row (or column) vector expression of the largest coefficient of each column (or row) of the referenced expression.</dd></dl>
<dl class="section warning"><dt>Warning</dt><dd>the result is undefined if <code>*this</code> contains NaN.</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga45a14b423c687c3e2e8325f148e27bf3">Matrix3d</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix3d::Random</a>();</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the matrix m:&quot;</span> &lt;&lt; endl &lt;&lt; m &lt;&lt; endl;</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the maximum of each column:&quot;</span> &lt;&lt; endl &lt;&lt; m.colwise().maxCoeff() &lt;&lt; endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
  0.68  0.597  -0.33
-0.211  0.823  0.536
 0.566 -0.605 -0.444
Here is the maximum of each column:
 0.68 0.823 0.536
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a878f0dae18b28d8158c5f1c232edced2">DenseBase::maxCoeff()</a> </dd></dl>

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<dl class="section return"><dt>Returns</dt><dd>a row (or column) vector expression of the mean of each column (or row) of the referenced expression.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a0af2b3991862a079e3efaef3e4d17d96">DenseBase::mean()</a> </dd></dl>

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<dl class="section return"><dt>Returns</dt><dd>a row (or column) vector expression of the smallest coefficient of each column (or row) of the referenced expression.</dd></dl>
<dl class="section warning"><dt>Warning</dt><dd>the result is undefined if <code>*this</code> contains NaN.</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga45a14b423c687c3e2e8325f148e27bf3">Matrix3d</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix3d::Random</a>();</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the matrix m:&quot;</span> &lt;&lt; endl &lt;&lt; m &lt;&lt; endl;</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the minimum of each column:&quot;</span> &lt;&lt; endl &lt;&lt; m.colwise().minCoeff() &lt;&lt; endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
  0.68  0.597  -0.33
-0.211  0.823  0.536
 0.566 -0.605 -0.444
Here is the minimum of each column:
-0.211 -0.605 -0.444
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#add6cb2d85282829eb9adc9565ce784d6">DenseBase::minCoeff()</a> </dd></dl>

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<dl class="section return"><dt>Returns</dt><dd>a row (or column) vector expression of the norm of each column (or row) of the referenced expression.</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga45a14b423c687c3e2e8325f148e27bf3">Matrix3d</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix3d::Random</a>();</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the matrix m:&quot;</span> &lt;&lt; endl &lt;&lt; m &lt;&lt; endl;</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the norm of each column:&quot;</span> &lt;&lt; endl &lt;&lt; m.colwise().norm() &lt;&lt; endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
  0.68  0.597  -0.33
-0.211  0.823  0.536
 0.566 -0.605 -0.444
Here is the norm of each column:
 0.91  1.18 0.771
</pre><dl class="section see"><dt>See Also</dt><dd>DenseBase::norm() </dd></dl>

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<p>Normalize in-place each row or columns of the referenced matrix. </p>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#acd0de676568888d848beb97dcc53ae47">MatrixBase::normalize()</a>, <a class="el" href="classEigen_1_1VectorwiseOp.html#ac0d3937fc9cba6f251995fbd07110216">normalized()</a> </dd></dl>

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<dl class="section return"><dt>Returns</dt><dd>an expression where each column of row of the referenced matrix are normalized. The referenced matrix is <b>not</b> modified. </dd></dl>
<dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1MatrixBase.html#a8ed1fb2e792b1079639a74e3581fbc74">MatrixBase::normalized()</a>, <a class="el" href="classEigen_1_1VectorwiseOp.html#acd0de676568888d848beb97dcc53ae47">normalize()</a> </dd></dl>

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<p>Returns the expression where each subvector is the product of the vector <em>other</em> by the corresponding subvector of <code>*this</code> </p>

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<p>Multiples each subvector of <code>*this</code> by the vector <em>other</em> </p>

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<p>Returns the expression of the sum of the vector <em>other</em> to each subvector of <code>*this</code> </p>

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<p>Adds the vector <em>other</em> to each subvector of <code>*this</code> </p>

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<p>Returns the expression of the difference between each subvector of <code>*this</code> and the vector <em>other</em> </p>

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<p>Substracts the vector <em>other</em> to each subvector of <code>*this</code> </p>

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<p>Returns the expression where each subvector is the quotient of the corresponding subvector of <code>*this</code> by the vector <em>other</em> </p>

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<p>Divides each subvector of <code>*this</code> by the vector <em>other</em> </p>

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<p>Copies the vector <em>other</em> to each subvector of <code>*this</code> </p>

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<dl class="section return"><dt>Returns</dt><dd>a row (or column) vector expression of the product of each column (or row) of the referenced expression.</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga45a14b423c687c3e2e8325f148e27bf3">Matrix3d</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix3d::Random</a>();</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the matrix m:&quot;</span> &lt;&lt; endl &lt;&lt; m &lt;&lt; endl;</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the product of each row:&quot;</span> &lt;&lt; endl &lt;&lt; m.rowwise().prod() &lt;&lt; endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
  0.68  0.597  -0.33
-0.211  0.823  0.536
 0.566 -0.605 -0.444
Here is the product of each row:
-0.134
-0.0933
0.152
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a6bdcbfa7e3b07d3246ad80de7170b0f5">DenseBase::prod()</a> </dd></dl>

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<dl class="section return"><dt>Returns</dt><dd>a row or column vector expression of <code>*this</code> reduxed by <em>func</em> </dd></dl>
<p>The template parameter <em>BinaryOp</em> is the type of the functor of the custom redux operator. Note that func must be an associative operator.</p>
<dl class="section see"><dt>See Also</dt><dd>class <a class="el" href="classEigen_1_1VectorwiseOp.html" title="Pseudo expression providing partial reduction operations. ">VectorwiseOp</a>, <a class="el" href="classEigen_1_1DenseBase.html#abe7ae69362c464b6721adbb47c655874">DenseBase::colwise()</a>, <a class="el" href="classEigen_1_1DenseBase.html#a8a7fd1e8004d4bd93a7ea36957aa8e99">DenseBase::rowwise()</a> </dd></dl>

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<dl class="section return"><dt>Returns</dt><dd>an expression of the replication of each column (or row) of <code>*this</code> </dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#gaa4931fe5bb599038466be823fdfadd04">Vector3i</a> v = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Vector3i::Random</a>();</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the vector v:&quot;</span> &lt;&lt; endl &lt;&lt; v &lt;&lt; endl;</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;v.rowwise().replicate(5) = ...&quot;</span> &lt;&lt; endl;</div>
<div class="line">cout &lt;&lt; v.rowwise().replicate(5) &lt;&lt; endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the vector v:
7
-2
6
v.rowwise().replicate(5) = ...
 7  7  7  7  7
-2 -2 -2 -2 -2
 6  6  6  6  6
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1VectorwiseOp.html#a9a078997c488c2d83fbd45108af26e1d">VectorwiseOp::replicate()</a>, <a class="el" href="classEigen_1_1DenseBase.html#afca0e8ff7921ee0e3ab4422818ecb214">DenseBase::replicate()</a>, class <a class="el" href="classEigen_1_1Replicate.html" title="Expression of the multiple replication of a matrix or vector. ">Replicate</a> </dd></dl>

<p>References <a class="el" href="group__enums.html#gga8ef30fa9c08e08c8706653571f9f5b81a7d5f78c516bedc0a066182a6fd606b8b">Eigen::Horizontal</a>, and <a class="el" href="group__enums.html#gga8ef30fa9c08e08c8706653571f9f5b81a2434cd8c1a594a4cdaa250f86639c600">Eigen::Vertical</a>.</p>

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<dl class="section return"><dt>Returns</dt><dd>an expression of the replication of each column (or row) of <code>*this</code> </dd></dl>
<p>Example: </p>
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<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the matrix m:&quot;</span> &lt;&lt; endl &lt;&lt; m &lt;&lt; endl;</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;m.colwise().replicate&lt;3&gt;() = ...&quot;</span> &lt;&lt; endl;</div>
<div class="line">cout &lt;&lt; m.colwise().replicate&lt;3&gt;() &lt;&lt; endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
 7  6  9
-2  6 -6
m.colwise().replicate&lt;3&gt;() = ...
 7  6  9
-2  6 -6
 7  6  9
-2  6 -6
 7  6  9
-2  6 -6
</pre><dl class="section see"><dt>See Also</dt><dd>VectorwiseOp::replicate(Index), <a class="el" href="classEigen_1_1DenseBase.html#afca0e8ff7921ee0e3ab4422818ecb214">DenseBase::replicate()</a>, class <a class="el" href="classEigen_1_1Replicate.html" title="Expression of the multiple replication of a matrix or vector. ">Replicate</a> </dd></dl>

<p>References <a class="el" href="group__enums.html#gga8ef30fa9c08e08c8706653571f9f5b81a7d5f78c516bedc0a066182a6fd606b8b">Eigen::Horizontal</a>, and <a class="el" href="group__enums.html#gga8ef30fa9c08e08c8706653571f9f5b81a2434cd8c1a594a4cdaa250f86639c600">Eigen::Vertical</a>.</p>

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<dl class="section return"><dt>Returns</dt><dd>a matrix expression where each column (or row) are reversed.</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga5b9d0d11e78fd355d23221154b7620e4">MatrixXi</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">MatrixXi::Random</a>(3,4);</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the matrix m:&quot;</span> &lt;&lt; endl &lt;&lt; m &lt;&lt; endl;</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the rowwise reverse of m:&quot;</span> &lt;&lt; endl &lt;&lt; m.rowwise().reverse() &lt;&lt; endl;</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the colwise reverse of m:&quot;</span> &lt;&lt; endl &lt;&lt; m.colwise().reverse() &lt;&lt; endl;</div>
<div class="line"></div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the coefficient (1,0) in the rowise reverse of m:&quot;</span> &lt;&lt; endl</div>
<div class="line">&lt;&lt; m.rowwise().reverse()(1,0) &lt;&lt; endl;</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Let us overwrite this coefficient with the value 4.&quot;</span> &lt;&lt; endl;</div>
<div class="line"><span class="comment">//m.colwise().reverse()(1,0) = 4;</span></div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Now the matrix m is:&quot;</span> &lt;&lt; endl &lt;&lt; m &lt;&lt; endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
 7  6 -3  1
-2  9  6  0
 6 -6 -5  3
Here is the rowwise reverse of m:
 1 -3  6  7
 0  6  9 -2
 3 -5 -6  6
Here is the colwise reverse of m:
 6 -6 -5  3
-2  9  6  0
 7  6 -3  1
Here is the coefficient (1,0) in the rowise reverse of m:
0
Let us overwrite this coefficient with the value 4.
Now the matrix m is:
 7  6 -3  1
-2  9  6  0
 6 -6 -5  3
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a6e354bb81f0c7b6888c6a0ce4b4649e2">DenseBase::reverse()</a> </dd></dl>

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          <td class="memname">const ReturnType&lt;internal::member_squaredNorm,RealScalar&gt;::Type squaredNorm </td>
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<dl class="section return"><dt>Returns</dt><dd>a row (or column) vector expression of the squared norm of each column (or row) of the referenced expression.</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga45a14b423c687c3e2e8325f148e27bf3">Matrix3d</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix3d::Random</a>();</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the matrix m:&quot;</span> &lt;&lt; endl &lt;&lt; m &lt;&lt; endl;</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the square norm of each row:&quot;</span> &lt;&lt; endl &lt;&lt; m.rowwise().squaredNorm() &lt;&lt; endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
  0.68  0.597  -0.33
-0.211  0.823  0.536
 0.566 -0.605 -0.444
Here is the square norm of each row:
0.928
1.01
0.884
</pre><dl class="section see"><dt>See Also</dt><dd>DenseBase::squaredNorm() </dd></dl>

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<dl class="section return"><dt>Returns</dt><dd>a row (or column) vector expression of the norm of each column (or row) of the referenced expression, avoiding underflow and overflow.</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>DenseBase::stableNorm() </dd></dl>

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          <td class="memname">const ReturnType&lt;internal::member_sum&gt;::Type sum </td>
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<dl class="section return"><dt>Returns</dt><dd>a row (or column) vector expression of the sum of each column (or row) of the referenced expression.</dd></dl>
<p>Example: </p>
<div class="fragment"><div class="line"><a class="code" href="group__matrixtypedefs.html#ga45a14b423c687c3e2e8325f148e27bf3">Matrix3d</a> m = <a class="code" href="classEigen_1_1DenseBase.html#a8e759dafdd9ecc446d397b7f5435f60a">Matrix3d::Random</a>();</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the matrix m:&quot;</span> &lt;&lt; endl &lt;&lt; m &lt;&lt; endl;</div>
<div class="line">cout &lt;&lt; <span class="stringliteral">&quot;Here is the sum of each row:&quot;</span> &lt;&lt; endl &lt;&lt; m.rowwise().sum() &lt;&lt; endl;</div>
</div><!-- fragment --><p> Output: </p>
<pre class="fragment">Here is the matrix m:
  0.68  0.597  -0.33
-0.211  0.823  0.536
 0.566 -0.605 -0.444
Here is the sum of each row:
0.948
1.15
-0.483
</pre><dl class="section see"><dt>See Also</dt><dd><a class="el" href="classEigen_1_1DenseBase.html#a3a3b3fb530d3364ecef0bf9c9daf0983">DenseBase::sum()</a> </dd></dl>

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<hr/>The documentation for this class was generated from the following files:<ul>
<li><a class="el" href="ForwardDeclarations_8h_source.html">ForwardDeclarations.h</a></li>
<li><a class="el" href="VectorwiseOp_8h_source.html">VectorwiseOp.h</a></li>
<li><a class="el" href="Replicate_8h_source.html">Replicate.h</a></li>
<li><a class="el" href="Homogeneous_8h_source.html">Homogeneous.h</a></li>
<li><a class="el" href="OrthoMethods_8h_source.html">OrthoMethods.h</a></li>
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