Conditions for variable-metric algorithms to be conjugate-gradient algorithms

DOI10.1007/BF00935363zbMath0502.90075OpenAlexW1971250661MaRDI QIDQ1173014

D. G. McDowell

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf00935363

zbMATH Keywords

unconstrained optimizationvariable-metric algorithmsconjugate- gradient algorithm

Mathematics Subject Classification ID

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

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Cites Work

• Unified approach to quadratically convergent algorithms for function minimization
• Numerical experiments on quadratically convergent algorithms for function minimization
• Variable metric algorithms: Necessary and sufficient conditions for identical behaviour of nonquadratic functions
• Variable Metric Method for Minimization
• Self-Scaling Variable Metric Algorithms without Line Search for Unconstrained Minimization
• A Rapidly Convergent Descent Method for Minimization
• Methods of conjugate gradients for solving linear systems