Hölder strong metric subregularity and its applications to convergence analysis of inexact Newton methods

DOI10.3934/jimo.2019105zbMath1474.49039OpenAlexW2977382866MaRDI QIDQ2031321

Wei Ouyang, Li Li

Publication date: 9 June 2021

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2019105

zbMATH Keywords

inexact Newton methodquasi-Newton methodgeneralized equationHölder isolated calmnessHölder strong metric subregularity

Mathematics Subject Classification ID

Newton-type methods (49M15) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (1)

Convergence of quasi-Newton methods for solving constrained generalized equations

Cites Work

• A strong metric subregularity analysis of nonsmooth mappings via steepest displacement rate
• Convergence of inexact Newton methods for generalized equations
• Newton's method for generalized equations: a sequential implicit function theorem
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• Stability of metric regularity with set-valued perturbations and application to Newton's method for solving generalized equations
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• Well-posedness and generalized metric subregularity with respect to an admissible function
• Generalized Metric Subregularity and Regularity with Respect to an Admissible Function
• Newton's Method for Solving Inclusions Using Set-Valued Approximations
• Hölder Stable Minimizers, Tilt Stability, and Hölder metric Regularity of Subdifferentials
• Implicit Functions and Solution Mappings
• Inexact Newton Methods
• A Characterization of Superlinear Convergence and Its Application to Quasi-Newton Methods
• Generalizations of the Dennis--Moré Theorem
• Hölder Metric Subregularity with Applications to Proximal Point Method
• Inexact Newton Methods and Dennis--Moré Theorems for Nonsmooth Generalized Equations
• Newton-Type Methods for Optimization and Variational Problems

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