A nonlinear model for function-value multistep methods

DOI10.1016/S0898-1221(01)00229-2zbMath0979.90108OpenAlexW2088817878MaRDI QIDQ5948890

I. A. Moghrabi, John A. Ford

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(01)00229-2

zbMATH Keywords

unconstrained optimizationmultistep methodsquasi-Newton methods

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) Methods of quasi-Newton type (90C53)

Related Items

Competitive secant (BFGS) methods based on modified secant relations for unconstrained optimization ⋮ Memory gradient method with Goldstein line search ⋮ A new class of memory gradient methods with inexact line searches ⋮ Using nonlinear functions to approximate a new quasi-Newton method for unconstrained optimization problems

Uses Software

• BRENT

Cites Work

• On the use of curvature estimates in quasi-Newton methods
• On the use of function-values in unconstrained optimisation
• Multi-step quasi-Newton methods for optimization
• Using function-values in multi-step quasi-Newton methods
• Least Change Secant Updates for Quasi-Newton Methods
• Matrix conditioning and nonlinear optimization
• A Family of Variable-Metric Methods Derived by Variational Means
• The Convergence of a Class of Double-rank Minimization Algorithms
• A new approach to variable metric algorithms
• Conditioning of Quasi-Newton Methods for Function Minimization
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