A family of Chebyshev-Halley type methods in Banach spaces

1997/02/01 by J.M. Gutiérrez, M.A. Hernández · 3 citations
Mathematics · Computer Science · #Iterative Methods for Nonlinear Equations #Advanced Optimization Algorithms Research #Matrix Theory and Algorithms

paper · pdf · doi:10.1017/s0004972700030586

Abstract

A family of third-order iterative processes (that includes Chebyshev and Halley's methods) is studied in Banach spaces. Results on convergence and uniqueness of solution are given, as well as error estimates. This study allows us to compare the most famous third-order iterative processes.

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