Multipoint Super-Halley Type Approximation Algorithms in Banach Spaces

DOI10.1080/01630560008816989zbMath0969.65047OpenAlexW1977863769MaRDI QIDQ4528553

Miguel A. Hernández, José Antonio Ezquerro

Publication date: 25 September 2001

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

Full work available at URL: https://doi.org/10.1080/01630560008816989

zbMATH Keywords

convergencenumerical examplesBanach spacenonlinear operator equationNewton-type methodsa priori error boundsmultipoint iterationssuper-Halley-type methods

Mathematics Subject Classification ID

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

Related Items (8)

On a two-step Kurchatov-type method in Banach space ⋮ A Kantorovich-type analysis for a fast iterative method for solving nonlinear equations ⋮ On the Convergence of Secant-Like Methods ⋮ A new iterative method of asymptotic order 1+√2 for the computation of fixed points ⋮ On a two-point Newton-like method of convergent order two ⋮ The Kantorovich theorem and interior point methods ⋮ Unified convergence for multi-point super Halley-type methods with parameters in Banach space ⋮ A uniparametric family of iterative processes for solving nondifferentiable equations

Cites Work

• Unnamed Item
• Recurrence relations for rational cubic methods. II: The Chebyshev method
• Recurrence relations for rational cubic methods. I: The Halley method
• A method for finding sharp error bounds for Newton's method under the Kantorovich assumptions
• A local convergence theorem for the super-Halley method in a Banach space
• Quadratic equations in Banach spaces
• A family of Chebyshev-Halley type methods in Banach spaces

This page was built for publication: Multipoint Super-Halley Type Approximation Algorithms in Banach Spaces