Sizing the BFGS and DFP updates: Numerical study
type: Item
instance of: scholarly article
title: Sizing the BFGS and DFP updates: Numerical study
zbMATH Open document ID: 0796.90054
DOI: 10.1007/BF00940702
author: V. Pereyra
published in: Journal of Optimization Theory and Applications
publication date: 1994-04-27T00:00:00Z
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 557852
zbMATH Keywords: secant methods
zbMATH Keywords: approximate Hessian
zbMATH Keywords: trust-region methods
zbMATH Keywords: unconstrained optimization
zbMATH Keywords: DFP update
zbMATH Keywords: Oren-Luenberger sizing factor
zbMATH Keywords: BFGS update
describes a project that uses: minpack
MaRDI profile type: Publication
cites work: Self-Scaling Variable Metric (SSVM) Algorithms
cites work: Optimal conditioning of self-scaling variable Metric algorithms
cites work: Matrix conditioning and nonlinear optimization
cites work: An Adaptive Nonlinear Least-Squares Algorithm
cites work: On the Use of Product Structure in Secant Methods for Nonlinear Least Squares Problems
cites work: Convergence theory for the structured BFGS secant method with an application to nonlinear least squares
cites work: Mean Value Theorems for Vector Valued Functions
cites work: Q4846633
cites work: Q3203937
cites work: An SQP Augmented Lagrangian BFGS Algorithm for Constrained Optimization
cites work: Testing Unconstrained Optimization Software
cites work: On the Barzilai and Borwein choice of steplength for the gradient method
full work available at URL: https://doi.org/10.1007/bf00940702
OpenAlex ID: W2010504016
description: scientific article; zbMATH DE number 557852