A family of Chebyshev-Halley type methods in Banach spaces 论文

1997Bulletin of the Australian Mathematical Society引用 253

Iterative Methods for Nonlinear EquationsAdvanced Optimization Algorithms ResearchMatrix Theory and Algorithms

Advanced Optimization Algorithms Research Matrix Theory and Algorithms Iterative Methods for Nonlinear Equations

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摘要

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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J.M. Gutiérrez

A family of Chebyshev-Halley type methods in Banach spaces 论文

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