Approximations to the Multiplier Method

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1985 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 22, pages 16-46 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Hager, William W.;

doi: 10.1137/0722002

Approximations to the Multiplier Method

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Abstract

The author analyzes approximations to the multiplier method for solving optimization problems. In particular, the effect of replacing the constrained problem by the unconstrained optimization of a penalized Lagrangian over a subspace instead of a Hilbert space, is considered. Some applications to nonlinear optimal control are discussed.

Keywords

Galerkin approximation, Numerical optimization and variational techniques, penalized Lagrangian, Hilbert space, Numerical methods involving duality, equality constrained optimization problem

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