Geodesic
On the convergence of secant-like algorithms with applications to generalized fractional calculus
George A. Anastassiou 1   ; Ioannis K. Argyros 2
1 Department of Mathematical Sciences University of Memphis Memphis, TN 38152, U.S.A.
2 Department of Mathematical Sciences Cameron University Lawton, OK 73505, U.S.A.
Applicationes Mathematicae, Tome 43 (2016) no. 2, pp. 191-206 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We present local and semilocal convergence results for secant-like algorithms in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. In the last part of the study we present some choices of the operators involved in fractional calculus where the operators satisfy the convergence conditions.
DOI : 10.4064/am2275-12-2015
Keywords: present local semilocal convergence results secant like algorithms order approximate locally unique solution nonlinear equation banach space setting part study present choices operators involved fractional calculus where operators satisfy convergence conditions

George A. Anastassiou  1   ; Ioannis K. Argyros  2

1 Department of Mathematical Sciences University of Memphis Memphis, TN 38152, U.S.A.
2 Department of Mathematical Sciences Cameron University Lawton, OK 73505, U.S.A. 
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George A. Anastassiou; Ioannis K. Argyros. On the convergence of secant-like algorithms with applications to generalized fractional calculus. Applicationes Mathematicae, Tome 43 (2016) no. 2, pp. 191-206. doi: 10.4064/am2275-12-2015

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