On nonlinear generalized conjugate gradient methods
type: Item
instance of: scholarly article
title: On nonlinear generalized conjugate gradient methods
zbMATH Open document ID: 0821.65032
author: Owe Axelsson
author: Anthony T. Chronopoulos
published in: Numerische Mathematik
publication date: 1995-04-02T00:00:00Z
review text: A nonlinear generalized conjugate gradient method for solving systems of nonlinear equations (including nonsymmetric Jacobian) is presented and analysed. If the Jacobian is positive definite and the Hessian is bounded then the method converges globally to one of the solutions. Also, preconditioned nonlinear methods of three types are discussed. A Newton method coupled with the nonlinear conjugate gradient method is constructed.
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 739425
zbMATH Keywords: global convergence
zbMATH Keywords: preconditioning
zbMATH Keywords: nonlinear generalized conjugate gradient method
zbMATH Keywords: systems of nonlinear equations
zbMATH Keywords: Newton method
MaRDI profile type: Publication
full work available at URL: s002110050076
OpenAlex ID: W2024108528
DOI: 10.1007/S002110050076
description: scientific article; zbMATH DE number 739425