On local convergence of a Newton-type method in Banach space

DOI10.1080/00207160701870845zbMath1171.65041OpenAlexW2002466872MaRDI QIDQ5323212

Jinhai Chen, Ioannis K. Argyros

Publication date: 23 July 2009

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

Full work available at URL: https://doi.org/10.1080/00207160701870845

zbMATH Keywords

numerical exampleserror estimateBanach spacelocal convergencenonlinear operator equationsNewton-type methodconvergence ballweak Lipschitz condition

Mathematics Subject Classification ID

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

Related Items (6)

On the convergence of a damped secant method with modified right-hand side vector ⋮ Larger convergence regions for an efficient two-step iterative method ⋮ A Newton-type midpoint method with high efficiency index ⋮ On the convergence of a damped Newton-like method with modified right hand side vector ⋮ On an iterative method for\cr unconstrained optimization ⋮ Convergence of an Iteration of Fifth-Order Using Weaker Conditions on First Order Fréchet Derivative in Banach Spaces

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