Self-Scaling Variable Metric Algorithms without Line Search for Unconstrained Minimization

DOI10.2307/2005523zbMath0304.65045OpenAlexW4251660957MaRDI QIDQ4060281

Shmuel S. Oren

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/2005523

Mathematics Subject Classification ID

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

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Cites Work

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• Unified approach to quadratically convergent algorithms for function minimization
• Variable metric algorithms: Necessary and sufficient conditions for identical behaviour of nonquadratic functions
• Self-Scaling Variable Metric (SSVM) Algorithms
• Self-Scaling Variable Metric (SSVM) Algorithms
• A Rapidly Convergent Descent Method for Minimization
• Quasi-Newton Methods and their Application to Function Minimisation
• Variance algorithm for minimization
• On a Numerical Instability of Davidon-Like Methods
• Variations on Variable-Metric Methods
• The Convergence of a Class of Double-rank Minimization Algorithms
• A new approach to variable metric algorithms
• On Steepest Descent
• Recent advances in unconstrained optimization
• Quasi-Newton Methods for Unconstrained Optimization