A variable-metric method using a nonquadratic model

DOI10.1007/BF00934462zbMath0519.49019OpenAlexW2081518205MaRDI QIDQ1054278

J. Blot

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf00934462

zbMATH Keywords

rational approximationsswitching algorithmvariable-metric methods

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical methods based on nonlinear programming (49M37) Approximation by rational functions (41A20) Mathematical programming (90C99)

Cites Work

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• A conjugate-direction method based on a nonquadratic model
• A variable metric-method for function minimization derived from invariancy to nonlinear scaling
• A conjugate-gradient optimization method invariant to nonlinear scaling
• Conic Approximations and Collinear Scalings for Optimizers
• Variable Metric Method for Minimization
• Optimal conditioning in the convex class of rank two updates
• A Rapidly Convergent Descent Method for Minimization
• Function minimization by conjugate gradients
• An efficient method for finding the minimum of a function of several variables without calculating derivatives
• A Family of Variable-Metric Methods Derived by Variational Means
• A new approach to variable metric algorithms
• The Convergence of a Class of Double-rank Minimization Algorithms 1. General Considerations
• Conditioning of Quasi-Newton Methods for Function Minimization
• Minimization Algorithms Making Use of Non-quadratic Properties of the Objective Function

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