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Next: <a href="Nonlinear-Equations.html" accesskey="n" rel="next">Nonlinear Equations</a>, Previous: <a href="Linear-Algebra.html" accesskey="p" rel="prev">Linear Algebra</a> &nbsp; [<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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<h2 class="chapter" id="Vectorization-and-Faster-Code-Execution-1"><span>19 Vectorization and Faster Code Execution<a class="copiable-link" href="#Vectorization-and-Faster-Code-Execution-1"> &para;</a></span></h2>
<a class="index-entry-id" id="index-vectorization"></a>
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<p>Vectorization is a programming technique that uses vector operations
instead of element-by-element loop-based operations.  Besides frequently
producing more succinct Octave code, vectorization also allows for better
optimization in the subsequent implementation.  The optimizations may occur
either in Octave&rsquo;s own Fortran, C, or C++ internal implementation, or even at a
lower level depending on the compiler and external numerical libraries used to
build Octave.  The ultimate goal is to make use of your hardware&rsquo;s vector
instructions if possible or to perform other optimizations in software.
</p>
<p>Vectorization is not a concept unique to Octave, but it is particularly
important because Octave is a matrix-oriented language.  Vectorized
Octave code will see a dramatic speed up (10X&ndash;100X) in most cases.
</p>
<p>This chapter discusses vectorization and other techniques for writing faster
code.
</p>

<ul class="mini-toc">
<li><a href="Basic-Vectorization.html" accesskey="1">Basic Vectorization</a></li>
<li><a href="Broadcasting.html" accesskey="2">Broadcasting</a></li>
<li><a href="Function-Application.html" accesskey="3">Function Application</a></li>
<li><a href="Accumulation.html" accesskey="4">Accumulation</a></li>
<li><a href="Memoization.html" accesskey="5">Memoization</a></li>
<li><a href="Miscellaneous-Techniques.html" accesskey="6">Miscellaneous Techniques</a></li>
<li><a href="Examples.html" accesskey="7">Examples</a></li>
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