On a non-smooth version of Newton's method based on Hölderian assumptions

DOI10.1080/00207160701324256zbMath1132.65047OpenAlexW2044872947MaRDI QIDQ5431619

Ioannis K. Argyros

Publication date: 12 December 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701324256

zbMATH Keywords

Newton's methodnumerical examplesHölder continuityBanach spacepoint-based-approximationBanach lemma on invertible operators

Mathematics Subject Classification ID

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

Related Items (5)

Metrically Regular Mapping and Its Utilization to Convergence Analysis of a Restricted Inexact Newton-Type Method ⋮ Extended Newton-type method and its convergence analysis for nonsmooth generalized equations ⋮ Extended Newton-type method for nonsmooth generalized equation under \((n, \alpha)\)-point-based approximation ⋮ New control allocation algorithms in fixed point framework for overactuated systems with actuator saturation ⋮ Metrically regular mappings and its application to convergence analysis of a confined Newton-type method for nonsmooth generalized equations

Cites Work

• Newton's method for a class of nonsmooth functions
• A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
• An Implicit-Function Theorem for a Class of Nonsmooth Functions
• On The Convergence And Application Of Newton's Method Under Weak HÖlder Continuity Assumptions
• Accessibility Of Solutions By Newton's Method
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