A choice of forcing terms in inexact Newton method
type: Item
instance of: scholarly article
title: A choice of forcing terms in inexact Newton method
zbMATH Open document ID: 1112.65044
author: Heng-Bin An
author: Zeyao Mo
author: Xing-Ping Liu
published in: Journal of Computational and Applied Mathematics
publication date: 2007-01-22T00:00:00Z
review text: The authors study the impact of forcing terms on the convergence behavior of inexact Newton methods. In particular, they show that an appropriate choice of the forcing terms leads to \(Q\)-superlinear convergence. The convergence analysis is not carried out in an affine invariant setting.
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 5117667
zbMATH Keywords: forcing terms
zbMATH Keywords: \(Q\)-superlinear convergence
reviewed by: R. H. W. Hoppe
describes a project that uses: NITSOL
MaRDI profile type: Publication
full work available at URL: j.cam.2005.12.030
OpenAlex ID: W2133437030
cites work: On Convergence of the Additive Schwarz Preconditioned Inexact Newton Method
cites work: A globally convergent Newton-GMRES subspace method for systems of nonlinear equations
cites work: Hybrid Krylov Methods for Nonlinear Systems of Equations
cites work: Convergence Theory of Nonlinear Newton–Krylov Algorithms
cites work: Q4336144
cites work: Nonlinearly Preconditioned Inexact Newton Algorithms
cites work: Inexact Newton Methods
cites work: Truncated-Newton algorithms for large-scale unconstrained optimization
cites work: Q3702408
cites work: Globally Convergent Inexact Newton Methods
cites work: Choosing the Forcing Terms in an Inexact Newton Method
cites work: Accelerated Inexact Newton Schemes for Large Systems of Nonlinear Equations
cites work: On a Class of Nonlinear Equation Solvers Based on the Residual Norm Reduction over a Sequence of Affine Subspaces
cites work: Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
cites work: Inexact trust region method for large sparse systems of nonlinear equations
cites work: Parameter selection for inexact Newton method
cites work: Iterative Solution of Nonlinear Equations in Several Variables
cites work: NITSOL: A Newton Iterative Solver for Nonlinear Systems
cites work: Q4386703
cites work: Parallel iterative methods for sparse linear systems
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
cites work: An inexact Newton method for fully coupled solution of the Navier-Stokes equations with heat and mass transport
cites work: On backtracking failure in Newton-GMRES methods with a demonstration for the Navier-Stokes equations
DOI: 10.1016/J.CAM.2005.12.030
description: scientific article; zbMATH DE number 5117667