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Next: <a href="Permutation-Matrix-Functions.html" accesskey="n" rel="next">Permutation Matrix Functions</a>, Up: <a href="Function-Support.html" accesskey="u" rel="up">Functions That Are Aware of These Matrices</a> [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Concept-Index.html" title="Index" rel="index">Index</a>]</p>
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<h4 class="subsection" id="Diagonal-Matrix-Functions-1"><span>21.3.1 Diagonal Matrix Functions<a class="copiable-link" href="#Diagonal-Matrix-Functions-1"> ¶</a></span></h4>
<p><em class="dfn">inv</em> and <em class="dfn">pinv</em> can be applied to a diagonal matrix, yielding again
a diagonal matrix. <em class="dfn">det</em> will use an efficient straightforward calculation
when given a diagonal matrix, as well as <em class="dfn">cond</em>.
The following mapper functions can be applied to a diagonal matrix
without converting it to a full one:
<em class="dfn">abs</em>, <em class="dfn">real</em>, <em class="dfn">imag</em>, <em class="dfn">conj</em>, <em class="dfn">sqrt</em>.
A diagonal matrix can also be returned from the <em class="dfn">balance</em>
and <em class="dfn">svd</em> functions.
The <em class="dfn">sparse</em> function will convert a diagonal matrix efficiently to a
sparse matrix.
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