Inertia-preserving secant updates

DOI10.1007/BF00939626zbMath0651.65041OpenAlexW4244621796MaRDI QIDQ1106624

S. H. Smith

Publication date: 1989

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00939626

zbMATH Keywords

parameter selectionSR1 updateBroyden classoptimally conditioned updaterank-two inertia-preserving updatessecant updates

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical computation of solutions to systems of equations (65H10)

Related Items (1)

A generalized section theorem and a minimax inequality for a vector-valued mapping¹

Cites Work

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• An assessment of quasi-Newton sparse update techniques for nonlinear structural analysis
• Matrix Analysis
• Conjugate direction methods with variable storage
• Optimally conditioned optimization algorithms without line searches
• Quasi-Newton Methods, Motivation and Theory
• A Rapidly Convergent Descent Method for Minimization
• A new approach to variable metric algorithms
• Rank-one and Rank-two Corrections to Positive Definite Matrices Expressed in Product Form

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