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Large-scale linearly constrained optimization

Mathematical ProgrammingPublished 1 December 1978
B. A. Murtagh, Michael A. Saunders
Citations528
SJR quartileQ1
SJR score1.73
SNIP2.20

TL;DR

An algorithm for solving large-scale nonlinear programs with linear constraints is presented, which combines efficient sparse-matrix techniques as in the revised simplex method with stable quasi-Newton methods for handling the nonlinearities.

Abstract

An algorithm for solving large-scale nonlinear programs with linear constraints is presented. The method combines efficient sparse-matrix techniques as in the revised simplex method with stable quasi-Newton methods for handling the nonlinearities. A general-purpose production code (MINOS) is described, along with computational experience on a wide variety of problems.

Keywords

Computer ScienceMathematics