Kantorovich's Theorem on Newton's Method for Solving Strongly Regular Generalized Equation

DOI10.1137/16M1098012zbMath1365.65154arXiv1604.04569OpenAlexW2962882678MaRDI QIDQ5737734

Orizon P. Ferreira, Gilson N. Silva

Publication date: 30 May 2017

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.04569

zbMATH Keywords

Newton's methodsemilocal convergencegeneralized equationmajorant conditionKantorovich's majorant technique

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Local convergence analysis of Newton's method for solving strongly regular generalized equations ⋮ Secant-inexact projection algorithms for solving a new class of constrained mixed generalized equations problems ⋮ Existence and continuity of solution trajectories of generalized equations with application in electronics ⋮ Extending the Kantorovich's theorem on Newton's method for solving strongly regular generalized equation ⋮ Newton's method with feasible inexact projections for solving constrained generalized equations ⋮ Extended Newton Methods for Multiobjective Optimization: Majorizing Function Technique and Convergence Analysis ⋮ On Newton's method for solving generalized equations ⋮ Convergence of quasi-Newton methods for solving constrained generalized equations ⋮ Newton's method for solving generalized equations without Lipschitz condition

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