On the local convergence of fast two-step Newton-like methods for solving nonlinear equations

A local convergence analysis is presented for a fast two-step Newton-like method (TSNLM) for solving nonlinear equations in a Banach space setting. The TSNLM unifies earlier methods such as Newton’s, Secant, Newton-like, Chebyshev–Secant, Chebyshev–Newton, Steffensen, Stirling’s and other single or...

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Bibliographic Details
Published in:	Journal of computational and applied mathematics Vol. 245; pp. 1 - 9
Main Authors:	Argyros, I.K., Hilout, S.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01-06-2013
Subjects:	Banach space Chebyshev approximation Chebyshev’s method Computation Convergence Mathematical models Newton methods Newton-like method Newton’s method Nonlinear equations Secant method Semilocal convergence Semilocal convergence 47H99 Chebyshev’s method Secant method Newton’s method 65G99 49M15 Banach space Newton-like method 65J15
Online Access:	Get full text
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