Recurrence relations for a third-order family of methods in Banach Spaces
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Authors
Chun, Changbum
Stănică, Pantelimon
Neta, Beny
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2011
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Abstract
Recently, PArida and Gupta (J. Comp. Appl.Math. 2-6 (2007), 873-877) used Rall's recurrence relations approach (from 1961) to approximate roots of nonlinear equations, by developing several methods, the latest of which is free of second derivative and it is of third order. In this paper, we use an idea of Kou and Li (appl. Math. Comp. 187 (2007), 1027-1032) and modify the approach of Parida and Gupta, obtaining yet another third-order method to approximate a solution of a non-linear equation in a Banach space. We give several applications to our method.
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Applied Mathematics
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Naval Postgraduate School (U.S.)
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Computers & Mathematics with Applications 61 (2011), 1665-1675.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.