Local convergence for some high convergence order Newton-like methods with frozen derivatives

DOI10.1007/s40324-015-0039-8zbMath1329.65113OpenAlexW951295242MaRDI QIDQ892992

Ioannis K. Argyros, Santhosh George

Publication date: 13 November 2015

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-015-0039-8

zbMATH Keywords

numerical exampleBanach spaceFréchet derivativenonlinear operator equationmajorant methodlocal convergenceNewton-like methodsAmat-Busquier-Bermudez methodfrozen derivativeTraub methodXiao-Yin method

Mathematics Subject Classification ID

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

Related Items (5)

Unified local convergence for a certain family of methods in Banach space ⋮ Directional \(k\)-step Newton methods in \(n\) variables and its semilocal convergence analysis ⋮ On the local convergence study for an efficient \(k\)-step iterative method ⋮ Local convergence for multistep high order methods under weak conditions ⋮ Generalizing the local convergence analysis of a class of $k$-step iterative algorithms with H

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