Alternating multi-step quasi-Newton methods for unconstrained optimization

DOI10.1016/S0377-0427(97)00075-7zbMath0886.65064OpenAlexW2065028445MaRDI QIDQ1372056

L. A. Moghrabi, John A. Ford

Publication date: 20 April 1998

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(97)00075-7

zbMATH Keywords

algorithmunconstrained optimizationnumerical examplesmultistep quasi-Newton methods

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30)

Related Items (13)

New implicit updates in multi-step quasi-Newton methods for unconstrained optimisation ⋮ A multi-iterate method to solve systems of nonlinear equations ⋮ A new two-step gradient-type method for large-scale unconstrained optimization ⋮ Competitive secant (BFGS) methods based on modified secant relations for unconstrained optimization ⋮ Two-step conjugate gradient method for unconstrained optimization ⋮ An improved multi-step gradient-type method for large scale optimization ⋮ A two-step matrix-free secant method for solving large-scale systems of nonlinear equations ⋮ Global convergence property of scaled two-step BFGS method ⋮ Accumulative approach in multistep diagonal gradient-type method for large-scale unconstrained optimization ⋮ Implicit updates in multistep quasi-Newton methods ⋮ Using nonlinear functions to approximate a new quasi-Newton method for unconstrained optimization problems ⋮ The use of alternation and recurrences in two-step quasi-Newton methods ⋮ Three-step fixed-point quasi-Newton methods for unconstrained optimisation

Uses Software

• minpack

Cites Work

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• Multi-step quasi-Newton methods for optimization
• Minimum curvature multistep quasi-Newton methods
• Testing Unconstrained Optimization Software
• Matrix conditioning and nonlinear optimization
• Quasi-Newton Methods and their Application to Function Minimisation
• 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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