A convergence ball for multistep simplified newton-like methods

DOI10.1080/01630569308816505zbMath0801.65052OpenAlexW2048673220MaRDI QIDQ4293282

Tetsuro Yamamoto, Xiaojun Chen

Publication date: 4 December 1994

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2433/82600

zbMATH Keywords

iterative methodsconvergence balllocal convergence ballmultistep simplified Newton-like methodsnonlinear equation with nondifferentiable operators

Mathematics Subject Classification ID

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

Related Items (1)

Historical developments in convergence analysis for Newton's and Newton-like methods

Cites Work

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• A convergence theorem for Newton-like methods in Banach spaces
• A note on a posteriori error bound of zabrejko and nguen for zincenko's iteration
• Ball-convergence theorems and error estimates for certain iterative methods for nonlinear equations
• Convergence domains of certain iterative methods for solving nonlinear equations
• Fast Algorithms for Nonsmooth Compact Fixed-Point Problems
• A Unified Convergence Theory for a Class of Iterative Processes
• A Note on the Convergence of Newton’s Method

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