An ODE-based approach to nonlinearly constrained minimax problems
type: Item
instance of: scholarly article
title: An ODE-based approach to nonlinearly constrained minimax problems
zbMATH Open document ID: 0824.65039
DOI: 10.1007/BF02143925
published in: Numerical Algorithms
publication date: 1995-07-04T00:00:00Z
review text: The paper presents an algorithm for solving a standard nonlinear programming problem (optimization problem with a finite number of equality-inequality constraints and smooth data). Each iteration of the algorithm solves approximately a system of nonlinear ordinary differential equations to get a direction for the line search. The authors claim that their code is more robust, although slower, than several library routines.
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 770295
zbMATH Keywords: nonlinearly constrained minimax problems
zbMATH Keywords: algorithm
zbMATH Keywords: nonlinear programming
zbMATH Keywords: iteration
zbMATH Keywords: line search
author: Edwin H. jun. Kaufman
author: D. J. Leeming
author: G. D. (Jerry) Taylor
reviewed by: J. Frédéric Bonnans
MaRDI profile type: Publication
cites work: Q4027326
cites work: Q4226179
cites work: Approximation and interpolation by convexity-preserving rational splines
cites work: More test examples for nonlinear programming codes
cites work: Finding the nearest point in A polytope
full work available at URL: https://doi.org/10.1007/bf02143925
OpenAlex ID: W2054496646
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description: scientific article; zbMATH DE number 770295