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Reference.org
Lagrange multiplier
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<p>In <a href="/facts/Mathematical_optimization/oRn8Iv5I">mathematical optimization</a>, the method of Lagrange multipliers is a strategy for finding the local <a href="/facts/Maxima_and_minima/ADlgnyzV">maxima and minima</a> of a <a href="/facts/Function_(mathematics)/CdReEKCh">function</a> subject to <a href="/facts/Constraint_(mathematics)/QLFIFlFX">equation constraints</a> (i.e., subject to the condition that one or more <a href="/facts/Equation/pxFzLAVR">equations</a> have to be satisfied exactly by the chosen values of the <a href="/facts/Variable_(mathematics)/VbQlrvKz">variables</a>). It is named after the mathematician <a href="/facts/Joseph-Louis_Lagrange/bTQUaSTv">Joseph-Louis Lagrange</a>. </p>