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Can I read A Sixth Order Method for Nonlinear Equations on EtoBox?
A Sixth Order Method for Nonlinear Equations by S.K. Parhi; D.K. Gupta is a Mathematics article available to read on EtoBox.
What is A Sixth Order Method for Nonlinear Equations about?
In this paper, a sixth order method is developed by extending a third order method of Weerakoon and Fernando [S. Weerakoon, T.G.I. Fernando, A variant of Newton's method with accelerated third-order convergence, Appl. Math. Lett. 13 (2000) 87-93] for finding the real roots of nonlinear equations in R. Starting with a suitably chosen x 0 , the method generates a sequence of iterates converging to the root. The convergence analysis is provided to establish its sixth order of convergence. In terms of computational cost, it requires evaluations of only two functions and two first derivatives per iteration. This implies that efficiency index of our method is 1.565. Our method is comparable with the methods of Neta [B. Neta, A sixth order family of methods for nonlinear equations, Intern.
Who reads A Sixth Order Method for Nonlinear Equations?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- S.K. Parhi; D.K. Gupta
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0096-3003)
- Published
- 2008
- Language
- EN
- Field
- Mathematics (Physical Sciences)