Global convergence property of modified Levenberg-Marquardt methods for nonsmooth equations.

DOI10.1007/s10492-011-0027-yzbMath1249.65115OpenAlexW2045595864MaRDI QIDQ664403

Yan Gao, Shou-qiang Du

Publication date: 1 March 2012

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

Full work available at URL: https://eudml.org/doc/197232

zbMATH Keywords

global convergencenumerical resultsnonlinear complementarity problemnonsmooth equationmodified Levenberg-Marquardt method

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Numerical computation of solutions to systems of equations (65H10) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items

A nonsmooth Levenberg-Marquardt method for vertical complementarity problems

Uses Software

• GQTPAR

Cites Work

• On almost smooth functions and piecewise smooth functions
• A modified Levenberg-Marquardt method for nonsmooth equations with finitely many maximum functions
• On NCP-functions
• A parameterized Newton method and a quasi-Newton method for nonsmooth equations
• Modified Newton methods for solving a semismooth reformulation of monotone complementarity problems
• A nonsmooth inexact Newton method for the solution of large-scale nonlinear complementarity problems
• Newton methods for solving two classes of nonsmooth equations.
• On the resolution of monotone complementarity problems
• A nonsmooth version of Newton's method
• Unconstrained minimization approaches to nonlinear complementarity problems
• Computing a Trust Region Step
• A special newton-type optimization method
• Solution point characterizations and convergence analysis of a descent algorithm for nonsmooth continuous complementarity problems.