Modified Newton-SHSS method for a class of systems of nonlinear equations

DOI10.1007/s40314-019-0793-9zbMath1438.65112OpenAlexW2922194003WikidataQ128230240 ScholiaQ128230240MaRDI QIDQ2322343

Fang Xie, Qing-Biao Wu, Ping-Fei Dai

Publication date: 4 September 2019

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-019-0793-9

zbMATH Keywords

nonlinear systemsconvergence propertiesmodified Newton methodsingle-step Hermitian and skew-Hermitian splitting

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items (9)

Modified Newton-SSTS method for solving a class of nonlinear systems with complex symmetric Jacobian matrices ⋮ Modified Newton-PBS method for solving a class of complex symmetric nonlinear systems ⋮ A Class of Relaxed TTSCSP Iteration Methods for Weakly Nonlinear Systems ⋮ A new filter algorithm for a system of nonlinear equations ⋮ Modified Newton-DSS method for solving a class of systems of nonlinear equations with complex symmetric Jacobian matrices ⋮ Two new effective iteration methods for nonlinear systems with complex symmetric Jacobian matrices ⋮ AN INEXACT NEWTON METHOD WITH INNER PRECONDITIONED CG FOR NON-UNIFORMLY MONOTONE ELLIPTIC PROBLEMS ⋮ Modified Newton-PSBTS method for solving complex nonlinear systems with symmetric Jacobian matrices ⋮ King-NSS iteration method for solving a class of large sparse nonlinear systems

Uses Software

• NITSOL

Cites Work

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• On Smooth LU Decompositions with Applications to Solutions of Nonlinear Eigenvalue Problems
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• Hybrid Krylov Methods for Nonlinear Systems of Equations
• Inexact Newton Methods
• Convergence Theory of Nonlinear Newton–Krylov Algorithms
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• Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
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