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Next: <a href="Nonlinear-Equations.html#Nonlinear-Equations" accesskey="n" rel="next">Nonlinear Equations</a>, Previous: <a href="Linear-Algebra.html#Linear-Algebra" accesskey="p" rel="prev">Linear Algebra</a>, Up: <a href="index.html#Top" accesskey="u" rel="up">Top</a> &nbsp; [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Concept-Index.html#Concept-Index" title="Index" rel="index">Index</a>]</p>
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<a name="Vectorization-and-Faster-Code-Execution-1"></a>
<h2 class="chapter">19 Vectorization and Faster Code Execution</h2>
<a name="index-vectorization"></a>
<a name="index-vectorize"></a>

<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>
<table class="menu" border="0" cellspacing="0">
<tr><td align="left" valign="top">&bull; <a href="Basic-Vectorization.html#Basic-Vectorization" accesskey="1">Basic Vectorization</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">Basic techniques for code optimization
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<tr><td align="left" valign="top">&bull; <a href="Broadcasting.html#Broadcasting" accesskey="2">Broadcasting</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">Broadcasting operations
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<tr><td align="left" valign="top">&bull; <a href="Function-Application.html#Function-Application" accesskey="3">Function Application</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">Applying functions to arrays, cells, and structs
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<tr><td align="left" valign="top">&bull; <a href="Accumulation.html#Accumulation" accesskey="4">Accumulation</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">Accumulation functions
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<tr><td align="left" valign="top">&bull; <a href="JIT-Compiler.html#JIT-Compiler" accesskey="5">JIT Compiler</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">Just-In-Time Compiler for loops
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<tr><td align="left" valign="top">&bull; <a href="Miscellaneous-Techniques.html#Miscellaneous-Techniques" accesskey="6">Miscellaneous Techniques</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">Other techniques for speeding up code
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<tr><td align="left" valign="top">&bull; <a href="Examples.html#Examples" accesskey="7">Examples</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
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