Nonsmooth equations approach to a constrained minimax problem.

DOI10.1007/s10492-005-0008-0zbMath1099.90075OpenAlexW2000841021MaRDI QIDQ851668

Xuewen Li, Yan Gao

Publication date: 21 November 2006

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

Full work available at URL: https://eudml.org/doc/33211

zbMATH Keywords

nonsmooth optimizationnonsmooth equationsminimax problemsNewton methodsKKT systemsquasidifferential calculus

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Numerical computation of solutions to systems of equations (65H10)

Related Items (4)

Unnamed Item ⋮ A minimax model and arithmetic for initial emission permits ⋮ Convergence of an inexact generalized Newton method with a scaled residual control ⋮ Newton method of solving Karush-Kuhn-Tucker systems for a constrained Minimax Problem

Cites Work

• Secant methods for semismooth equations
• A simply constrained optimization reformulation of KKT systems arising from variational inequalities
• Newton methods for solving nonsmooth equations via a new subdifferential
• Demyanov difference of two sets and optimality conditions of Lagrange multiplier type for constrained quasidifferential optimization.
• Nonmonotone line search algorithm for constrained minimax problems
• A nonsmooth version of Newton's method
• Newton and Quasi-Newton Methods for a Class of Nonsmooth Equations and Related Problems
• Semismooth Karush-Kuhn-Tucker Equations and Convergence Analysis of Newton and Quasi-Newton Methods for Solving these Equations
• Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations
• Piecewise Smoothness, Local Invertibility, and Parametric Analysis of Normal Maps
• Nonsmooth equation based BFGS method for solving KKT systems in mathematical programming
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