A two-step SOR-Newton method for nonsmooth equations

DOI10.1016/j.na.2009.02.122zbMath1183.65057OpenAlexW1974761886MaRDI QIDQ838030

Li Wang, Xiaoxia Zhou, Yong-Zhong Song

Publication date: 21 August 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.02.122

zbMATH Keywords

convergencesystem of nonlinear equationsnumerical examplesnonsmoothsemismoothtwo step successive overrelaxation Newton method

Mathematics Subject Classification ID

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

Related Items (3)

Some quadrature-based versions of the generalized Newton method for solving nonsmooth equations ⋮ Numerical solutions to nonsmooth Dirichlet problems based on lumped mass finite element discretization ⋮ Convergence of the modified SOR–Newton method for non-smooth equations

Cites Work

• On a new class parametrized Newton-like method for semismooth equations
• Approximate Newton methods for nonsmooth equations
• A modified secant method for semismooth equations
• A nonsmooth version of Newton's method
• A generalized Jacobian based Newton method for semismooth block-triangular system of equations
• On the convergence of Newton's method for a class of nonsmooth operators
• Efficient continuation Newton-like method for solving systems of non-linear equations
• On the secant method for solving nonsmooth equations
• Iterative Solution of Nonlinear Equations in Several Variables
• On convergence of SOR methods for nonsmooth equations

This page was built for publication: A two-step SOR-Newton method for nonsmooth equations