Newton methods for solving two classes of nonsmooth equations.

DOI10.1023/A:1013791923957zbMath1068.65063MaRDI QIDQ1771826

Yan Gao

Publication date: 19 April 2005

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33084

zbMATH Keywords

convergencenonsmooth equationsNewton methodClarke generalized Jacobianmax-type functions

Mathematics Subject Classification ID

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

Related Items (9)

A new smoothing nonlinear conjugate gradient method for nonsmooth equations with finitely many maximum functions ⋮ The Levenberg-Marquardt-type methods for a kind of vertical complementarity problem ⋮ Generalized Newton method for a kind of complementarity problem ⋮ Global convergence property of modified Levenberg-Marquardt methods for nonsmooth equations. ⋮ Convergence analysis of nonmonotone Levenberg-Marquardt algorithms for complementarity problem ⋮ An approximate Newton method for non-smooth equations with finite max functions ⋮ A parametrized Newton method for nonsmooth equations with finitely many maximum functions ⋮ Convergence analysis of nonsmooth equations for the general nonlinear complementarity problem ⋮ A modified Levenberg-Marquardt method for nonsmooth equations with finitely many maximum functions

Cites Work

• Variational principle with nonlinear complementarity for three-dimensional contact problems and numerical method
• A verification method for solutions of nonsmooth equations
• A nonsmooth version of Newton's method
• Optimization and nonsmooth analysis
• Semismooth and Semiconvex Functions in Constrained Optimization
• Newton and Quasi-Newton Methods for a Class of Nonsmooth Equations and Related Problems
• Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
• Unnamed Item
• Unnamed Item

This page was built for publication: Newton methods for solving two classes of nonsmooth equations.