Geodesic
Local convergence of two competing third order methods in Banach space
Ioannis K. Argyros 1   ; Santhosh George 2
1 Department of Mathematical Sciences Cameron University Lawton, OK 73505, U.S.A.
2 Department of Mathematical and Computational Sciences National Institute of Technology Karnataka, India 757 025
Applicationes Mathematicae, Tome 41 (2014) no. 4, pp. 341-350 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We present a local convergence analysis for two popular third order methods of approximating a solution of a nonlinear equation in a Banach space setting. The convergence ball and error estimates are given for both methods under the same conditions. A comparison is given between the two methods, as well as numerical examples.
DOI : 10.4064/am41-4-5
Keywords: present local convergence analysis popular third order methods approximating solution nonlinear equation banach space setting convergence ball error estimates given methods under conditions comparison given between methods numerical examples

Ioannis K. Argyros  1   ; Santhosh George  2

1 Department of Mathematical Sciences Cameron University Lawton, OK 73505, U.S.A.
2 Department of Mathematical and Computational Sciences National Institute of Technology Karnataka, India 757 025 
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Ioannis K. Argyros; Santhosh George. Local convergence of two competing third order methods in Banach space. Applicationes Mathematicae, Tome 41 (2014) no. 4, pp. 341-350. doi: 10.4064/am41-4-5

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