Truncated trust region methods based on preconditioned iterative subalgorithms for large sparse systems of nonlinear equations

DOI10.1023/A:1022678023392zbMath0902.90146OpenAlexW204436159MaRDI QIDQ1379937

J. Vilček, Ladislav Lukšan

Publication date: 5 March 1998

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

Full work available at URL: https://doi.org/10.1023/a:1022678023392

zbMATH Keywords

global convergenceresidual smoothingtrust region methodsinexact Jacobiansconjugate gradient-type methodslarge sparse systems of nonlinear equations

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical computation of solutions to systems of equations (65H10)

Related Items (6)

A new adaptive trust-region method for system of nonlinear equations ⋮ A Globally Convergent Trust-Region Method for Large-Scale Symmetric Nonlinear Systems ⋮ Nonmonotone Self-adaptive Levenberg–Marquardt Approach for Solving Systems of Nonlinear Equations ⋮ A new nonmonotone line-search trust-region approach for nonlinear systems ⋮ An efficient adaptive trust-region method for systems of nonlinear equations ⋮ An effective trust-region-based approach for symmetric nonlinear systems

Uses Software

• UMFPACK
• UFO
• CGS

Cites Work

• Unnamed Item
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• Inexact trust region method for large sparse systems of nonlinear equations
• Software for estimating sparse Jacobian matrices
• Hybrid Krylov Methods for Nonlinear Systems of Equations
• The Conjugate Gradient Method and Trust Regions in Large Scale Optimization
• On the global convergence of trust region algorithms for unconstrained minimization
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• Convergence Theory of Nonlinear Newton–Krylov Algorithms
• Globally Convergent Inexact Newton Methods
• Modification of a Quasi-Newton Method for Nonlinear Equations with a Sparse Jacobian

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