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Physical Sciences and Engineering Mathematics Analysis

An optimization of Chebyshev’s method

Article ID Journal Published Year Pages File Type
4608795 Journal of Complexity 2009 19 Pages PDF
Abstract

From Chebyshev’s method, new third-order multipoint iterations are constructed with their efficiency close to that of Newton’s method and the same region of accessibility.

Keywords
Multipoint iterationRR-order of convergenceAttraction basinNewton?s methodChebyshev?s methodNonlinear equations in Banach spacesRegion of accessibilitySemilocal convergence
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
An optimization of Chebyshev’s method
Authors
J.A. Ezquerro, M.A. Hernández,
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Journal of Complexity
Journal: Journal of Complexity
Related Categories
Multipoint iteration
RR-order of convergence
Attraction basin
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Nonlinear equations in Banach spaces
Region of accessibility
Semilocal convergence
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