scientific article; zbMATH DE number 6872008

zbMath1393.49021MaRDI QIDQ4642615

Asen L. Dontchev, J. Preininger, Tomáš Roubal, Radek Cibulka, Vladimir M. Veliov

Publication date: 23 May 2018

Full work available at URL: http://www.heldermann.de/JCA/JCA25/JCA252/jca25031.htm#jca251

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zbMATH Keywords

variational inequalitymetric regularitygeneralized equationKantorovich theoremNewton's methodslinear/superlinear/quadratic convergence

Mathematics Subject Classification ID

Nonlinear programming (90C30) Variational inequalities (49J40) Newton-type methods (49M15) Set-valued and variational analysis (49J53) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (9)

Lipschitz-like mapping and its application to convergence analysis of a variant of Newton's method ⋮ Metrically Regular Mapping and Its Utilization to Convergence Analysis of a Restricted Inexact Newton-Type Method ⋮ Approximations and generalized Newton methods ⋮ Kantorovich-type results for generalized equations with applications ⋮ Extended Newton-type method for nonlinear functions with values in a cone ⋮ Kantorovich's Theorem on Newton's Method for Solving Strongly Regular Generalized Equation ⋮ Metrically regular mappings and its application to convergence analysis of a confined Newton-type method for nonsmooth generalized equations ⋮ Nonsmooth Kantorovich-Newton methods: hypotheses and auxiliary problems ⋮ On Newton's method for solving generalized equations

Cites Work

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• Implicit Functions and Solution Mappings
• The Newton-Kantorovich Theorem
• Set-valued analysis

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