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<a name="linprog"></a>
<div class="header">
<p>
Next: <a href="quadprog.html#quadprog" accesskey="n" rel="next">quadprog</a>, Up: <a href="Compatibility-wrappers.html#Compatibility-wrappers" accesskey="u" rel="up">Compatibility wrappers</a> &nbsp; [<a href="Function-index.html#Function-index" title="Index" rel="index">Index</a>]</p>
</div>
<hr>
<a name="Linear-programming"></a>
<h3 class="section">7.1 Linear programming</h3>
<a name="index-linprog-4"></a>

<p>This function works by calling <code>glpk</code> of core Octave.
</p>
<a name="XREFlinprog"></a><dl>
<dt><a name="index-linprog"></a>Function File: <em><var>x</var> =</em> <strong>linprog</strong> <em>(<var>f</var>, <var>A</var>, <var>b</var>)</em></dt>
<dt><a name="index-linprog-1"></a>Function File: <em><var>x</var> =</em> <strong>linprog</strong> <em>(<var>f</var>, <var>A</var>, <var>b</var>, <var>Aeq</var>, <var>beq</var>)</em></dt>
<dt><a name="index-linprog-2"></a>Function File: <em><var>x</var> =</em> <strong>linprog</strong> <em>(<var>f</var>, <var>A</var>, <var>b</var>, <var>Aeq</var>, <var>beq</var>, <var>lb</var>, <var>ub</var>)</em></dt>
<dt><a name="index-linprog-3"></a>Function File: <em>[<var>x</var>, <var>fval</var>] =</em> <strong>linprog</strong> <em>(&hellip;)</em></dt>
<dd><p>Solve a linear problem.
</p>
<p>Finds
</p>
<div class="example">
<pre class="example">min (f' * x)
</pre></div>

<p>(both f and x are column vectors) subject to
</p>
<div class="example">
<pre class="example">A   * x &lt;= b
Aeq * x  = beq
lb &lt;= x &lt;= ub
</pre></div>

<p>If not specified, <var>Aeq</var> and <var>beq</var> default to empty matrices.
</p>
<p>If not specified, the lower bound <var>lb</var> defaults to minus infinite
and the upper bound <var>ub</var> defaults to infinite.
</p>
</dd></dl>


<p>See also <a href="https://www.gnu.org/software/octave/doc/interpreter/XREFglpk.html#XREFglpk">(octave)glpk</a>.
</p>




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