Newton-type methods for quasidifferentiable equations

DOI10.1023/A:1026498519948zbMath1027.90090OpenAlexW47917998MaRDI QIDQ5929423

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Publication date: 14 January 2004

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026498519948

zbMATH Keywords

generalized Kakutani fixed-point theoremKrawczyk operatorNewton type methodnonsmooth equationsquasidifferentiable equationssemilocal convergence

Mathematics Subject Classification ID

Nonlinear programming (90C30) Nonsmooth analysis (49J52) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (2)

Newton methods for quasidifferentiable equations and their convergence ⋮ Representative of quasidifferentials and its formula for a quasidifferentiable function

Cites Work

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• A B-differentiable equation-based, globally and locally quadratically convergent algorithm for nonlinear programs, complementarity and variational inequality problems
• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Local convergence of quasi-Newton methods for B-differentiable equations
• A parameterized Newton method and a quasi-Newton method for nonsmooth equations
• A verification method for solutions of nonsmooth equations
• A nonsmooth version of Newton's method
• Nonsmooth Equations: Motivation and Algorithms
• Newton's Method for B-Differentiable Equations
• Optimization and nonsmooth analysis
• EXTENSION OF NEWTON AND QUASI-NEWTON METHODS TO SYSTEMS OF PC^1 EQUATIONS
• Strongly Regular Generalized Equations
• Generalized equations and their solutions, Part I: Basic theory
• 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
• A Globally Convergent Successive Approximation Method for Severely Nonsmooth Equations

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