A family of Chebyshev-Halley type methods in Banach spaces
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Universidad de La Rioja
info
ISSN: 0004-9727
Year of publication: 1997
Volume: 55
Issue: 1
Pages: 113-130
Type: Article
More publications in: Bulletin of the Australian Mathematical Society
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.