UNIFICATION OF SIXTH-ORDER ITERATIVE METHODS

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KHATTRI SANJAY K.; ARGYROS IOANNIS K.

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Journal Paper

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Journal: MATHEMATICAL SCIENCES Year:2013 | Volume:7 | Issue:- Page(s): 1-8

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Information Journal Paper

Title

UNIFICATION OF SIXTH-ORDER ITERATIVE METHODS

Author(s)

KHATTRI SANJAY K. | ARGYROS IOANNIS K. | Issue Writer Certificate

Keywords

ITERATIVE METHODS

SIXTH ORDER

NEWTON

UNIFICATION

CONVERGENCE

NUMERICAL ANALYSIS

INFINITE SERIES

NONLINEAR

Abstract

There exist many sixth-order ITERATIVE METHODS for solving NONLINEAR scalar equations. The purpose of this work is to bring them together. We develop a scheme for unifying sixth-order ITERATIVE METHODS. CONVERGENCE analysis shows that the methods and family of methods, formulated through the scheme are sixth-order convergent. Finally, some computational results are reported to verify the developed theory.

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