On a new multiparametric family of Newton-like methods

DOI10.1002/anac.200410025zbMath1078.65046OpenAlexW1996068219MaRDI QIDQ4680438

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Publication date: 1 June 2005

Published in: Applied Numerical Analysis & Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/anac.200410025

zbMATH Keywords

semilocal convergenceR-order of convergenceNewton type iterations

Mathematics Subject Classification ID

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

Related Items (7)

Semilocal convergence of a continuation method with Hölder continuous second derivative in Banach spaces ⋮ Convergence of a third order method for fixed points in Banach spaces ⋮ General study of iterative processes of \(R\) -order at least three under weak convergence conditions ⋮ ON THE R-ORDER CONVERGENCE OF A THIRD ORDER METHOD IN BANACH SPACES UNDER MILD DIFFERENTIABILITY CONDITIONS ⋮ A Stirling-like method with Hölder continuous first derivative in Banach spaces ⋮ Semilocal convergence of a family of third-order Chebyshev-type methods under a mild differentiability condition ⋮ A Qualitative Analysis of a Family of Newton-Like Iterative Process with R-Order of Convergence At Least Three

Cites Work

• Recurrence relations for rational cubic methods. II: The Chebyshev method
• Indices of convexity and concavity. Application to Halley method
• On Halley's Iteration Method
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