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We present a semilocal convergence analysis of a third order method for approximating a locally unique solution of an equation in a Banach space setting. Recently, this method was studied by Chun, Stanica and Neta. These authors extended earlier results by Kou, Li and others. Our convergence analysis extends the applicability of these methods under less computational cost and weaker convergence criteria. Numerical examples are also presented to show that the earlier results cannot apply to solve these equations.
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참고문헌 (22)
참고문헌 신청
A. A. Magre?n´an / 2013 / Estudio de la din´amica del m´etodo de Newton amortiguado / PhD / Universidad de La Rioja
A. A. Magre?n´an / 2014 / Two-step Newton methods / J. Complexity 30 (4) : 533 ~ 553
C. Chun / 2011 / Third order family of methods in Banach spaces / Comput. Math. Appl 61 (6) : 1665 ~ 1675
F. A. Potra / 1984 / Nondiscrete induction and iterative processes / Research Notes in Mathematics 103
I. K. Argyros / 2007 / Computational theory of iterative methods, Series: Studies in Computational Mathematics, 15 / Elsevier Publ. Co
A. A. Magre?n´an / 2014 / Two-step Newton methods / J. Complexity 30 (4) : 533 ~ 553
C. Chun / 2011 / Third order family of methods in Banach spaces / Comput. Math. Appl 61 (6) : 1665 ~ 1675
F. A. Potra / 1984 / Nondiscrete induction and iterative processes / Research Notes in Mathematics 103
I. K. Argyros / 2007 / Computational theory of iterative methods, Series: Studies in Computational Mathematics, 15 / Elsevier Publ. Co
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