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2013•Journal of Wuxi Institute of TechnologyRequires access

Partial Application of Lagrange Multiplier Method

WU Yin-yin

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Abstract

Lagrange multiplier method is mainly used in finding extreme value under some constraint conditions,but it is difficult to solve stable points and decide conditional extremum.This paper is mainly devoted to discuss Lagrange multiplier method in solving conditional maxima and minima,proving inequality and solving extremum of implicit function and propose some skills,in order to present the special and direct effect of Lagrange multiplier method.

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What this paper is about

Lagrange multiplier method is mainly used in finding extreme value under some constraint conditions,but it is difficult to solve stable points and decide conditional extremum.This paper is mainly devoted to discuss Lagrange multiplier method in solving conditional maxima and minima,proving inequality and solving extremum of implicit function and propose some skills,in order to present the special and direct effect of Lagrange multiplier method.

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Available abstract

Lagrange multiplier method is mainly used in finding extreme value under some constraint conditions,but it is difficult to solve stable points and decide conditional extremum.This paper is mainly devoted to discuss Lagrange multiplier method in solving conditional maxima and minima,proving inequality and solving extremum of implicit function and propose some skills,in order to present the special and direct effect of Lagrange multiplier method.

Key concepts: Lagrange multiplier, Constraint algorithm, Mathematics, Multiplier (economics), Maxima and minima, Mathematical optimization, Applied mathematics, Augmented Lagrangian method

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