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2010•Journal of Tongji UniversityRequires access

New Lagrangian Multiplier Methods

Zhong Jin

Open publisher page 3 citations

Abstract

A new class of augmented Lagrangian functions with the Fischer-Burmeister NCP function and a Lagrangian multiplier method are proposed for the minimization of a smooth function subject to smooth equation and inequality constraints.This method is based on the solutions of the unconstrained optimization which is a reformulation of the primal constrained problem.These methods are implementable and globally convergent.

About this research paper

What this paper is about

A new class of augmented Lagrangian functions with the Fischer-Burmeister NCP function and a Lagrangian multiplier method are proposed for the minimization of a smooth function subject to smooth equation and inequality constraints.This method is based on the solutions of the unconstrained optimization which is a reformulation of the primal constrained problem.These methods are implementable and globally convergent.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A new class of augmented Lagrangian functions with the Fischer-Burmeister NCP function and a Lagrangian multiplier method are proposed for the minimization of a smooth function subject to smooth equation and inequality constraints.This method is based on the solutions of the unconstrained optimization which is a reformulation of the primal constrained problem.These methods are implementable and globally convergent.

Key concepts: Augmented Lagrangian method, Lagrange multiplier, Lagrangian, Multiplier (economics), Mathematics, Minification, Lagrangian relaxation, Mathematical optimization

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