Truncated trust region methods based on preconditioned iterative subalgorithms for large sparse systems of nonlinear equations
type: Item
instance of: scholarly article
title: Truncated trust region methods based on preconditioned iterative subalgorithms for large sparse systems of nonlinear equations
zbMATH Open document ID: 0902.90146
DOI: 10.1023/A:1022678023392
author: J. Vilček
author: Ladislav Lukšan
published in: Journal of Optimization Theory and Applications
publication date: 1998-03-05T00:00:00Z
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65K05
zbMATH DE Number: 1124784
zbMATH Keywords: inexact Jacobians
zbMATH Keywords: conjugate gradient-type methods
zbMATH Keywords: residual smoothing
zbMATH Keywords: large sparse systems of nonlinear equations
zbMATH Keywords: trust region methods
zbMATH Keywords: global convergence
describes a project that uses: CGS
describes a project that uses: UMFPACK
describes a project that uses: UFO
MaRDI profile type: Publication
cites work: Hybrid Krylov Methods for Nonlinear Systems of Equations
cites work: Convergence Theory of Nonlinear Newton–Krylov Algorithms
cites work: Q3702408
cites work: Globally Convergent Inexact Newton Methods
cites work: Q4841246
cites work: On the global convergence of trust region algorithms for unconstrained minimization
cites work: Software for estimating sparse Jacobian matrices
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
cites work: CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
cites work: The Conjugate Gradient Method and Trust Regions in Large Scale Optimization
cites work: Modification of a Quasi-Newton Method for Nonlinear Equations with a Sparse Jacobian
cites work: Inexact trust region method for large sparse systems of nonlinear equations
full work available at URL: a:1022678023392
OpenAlex ID: W204436159
Recommended article: Inexact trust region method for large sparse systems of nonlinear equations
Recommended article: Subspace Trust‐Region Methods for Large Bound‐Constrained Nonlinear Equations
Recommended article: Q4300051
Recommended article: A trust region spectral method for large-scale systems of nonlinear equations
Recommended article: Q4360728
Recommended article: Trust-region interior-point method for large sparsel1optimization
Recommended article: A trust region subspace method for large-scale unconstrained optimization
Recommended article: A new matrix-free algorithm for the large-scale trust-region subproblem
Recommended article: An efficient conjugate gradient trust-region approach for systems of nonlinear equation
description: scientific article; zbMATH DE number 1124784