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<h1>Kronecker Product</h1>
<small class="dont-index">Source: <a href='https://github.com/cvxgrp/CVXR/blob/master/R/exports.R'><code>R/exports.R</code></a></small>
<div class="hidden name"><code>kronecker.Rd</code></div>
</div>
<div class="ref-description">
<p>The generalized kronecker product of two matrices.</p>
</div>
<pre class="usage"><span class='co'># S4 method for Expression,ANY</span>
<span class='fu'><a href='https://rdrr.io/r/base/kronecker.html'>kronecker</a></span>(<span class='no'>X</span>, <span class='no'>Y</span>, <span class='kw'>FUN</span> <span class='kw'>=</span> <span class='st'>"*"</span>, <span class='kw'>make.dimnames</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>, <span class='no'>...</span>)
<span class='co'># S4 method for ANY,Expression</span>
<span class='fu'><a href='https://rdrr.io/r/base/kronecker.html'>kronecker</a></span>(<span class='no'>X</span>, <span class='no'>Y</span>, <span class='kw'>FUN</span> <span class='kw'>=</span> <span class='st'>"*"</span>, <span class='kw'>make.dimnames</span> <span class='kw'>=</span> <span class='fl'>FALSE</span>, <span class='no'>...</span>)</pre>
<h2 class="hasAnchor" id="arguments"><a class="anchor" href="#arguments"></a>Arguments</h2>
<table class="ref-arguments">
<colgroup><col class="name" /><col class="desc" /></colgroup>
<tr>
<th>X</th>
<td><p>An Expression or matrix.</p></td>
</tr>
<tr>
<th>Y</th>
<td><p>An Expression or matrix.</p></td>
</tr>
<tr>
<th>FUN</th>
<td><p>Hardwired to "*" for the kronecker product.</p></td>
</tr>
<tr>
<th>make.dimnames</th>
<td><p>(Unimplemented) Dimension names are not supported in Expression objects.</p></td>
</tr>
<tr>
<th>...</th>
<td><p>(Unimplemented) Optional arguments.</p></td>
</tr>
</table>
<h2 class="hasAnchor" id="value"><a class="anchor" href="#value"></a>Value</h2>
<p>An Expression that represents the kronecker product.</p>
<h2 class="hasAnchor" id="examples"><a class="anchor" href="#examples"></a>Examples</h2>
<pre class="examples"><div class='input'><span class='no'>X</span> <span class='kw'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/cbind.html'>cbind</a></span>(<span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='fl'>1</span>,<span class='fl'>2</span>), <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='fl'>3</span>,<span class='fl'>4</span>))
<span class='no'>Y</span> <span class='kw'><-</span> <span class='fu'>Variable</span>(<span class='fl'>2</span>,<span class='fl'>2</span>)
<span class='no'>val</span> <span class='kw'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/cbind.html'>cbind</a></span>(<span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='fl'>5</span>,<span class='fl'>6</span>), <span class='fu'><a href='https://rdrr.io/r/base/c.html'>c</a></span>(<span class='fl'>7</span>,<span class='fl'>8</span>))
<span class='no'>obj</span> <span class='kw'><-</span> <span class='no'>X</span> <span class='kw'>%x%</span> <span class='no'>Y</span>
<span class='no'>prob</span> <span class='kw'><-</span> <span class='fu'>Problem</span>(<span class='fu'>Minimize</span>(<span class='fu'><a href='https://rdrr.io/r/base/kronecker.html'>kronecker</a></span>(<span class='no'>X</span>,<span class='no'>Y</span>)[<span class='fl'>1</span>,<span class='fl'>1</span>]), <span class='fu'><a href='https://rdrr.io/r/base/list.html'>list</a></span>(<span class='no'>Y</span> <span class='kw'>==</span> <span class='no'>val</span>))
<span class='no'>result</span> <span class='kw'><-</span> <span class='fu'><a href='https://rdrr.io/r/base/solve.html'>solve</a></span>(<span class='no'>prob</span>)
<span class='no'>result</span>$<span class='no'>value</span></div><div class='output co'>#> [1] 5</div><div class='input'><span class='no'>result</span>$<span class='fu'>getValue</span>(<span class='fu'><a href='https://rdrr.io/r/base/kronecker.html'>kronecker</a></span>(<span class='no'>X</span>,<span class='no'>Y</span>))</div><div class='output co'>#> [,1] [,2] [,3] [,4]
#> [1,] 5 7 15 21
#> [2,] 6 8 18 24
#> [3,] 10 14 20 28
#> [4,] 12 16 24 32</div></pre>
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