1Department of Mathematics Sciences Cameron University Lawton, OK 73505, U.S.A. 2College of Information and Electronics Hangzhou Polytechnic Hangzhou 31140 Zhejiang, P.R. China
Applicationes Mathematicae, Tome 39 (2012) no. 2, pp. 243-255
We provide a semilocal convergence analysis for Halley's method using convex majorants in order to approximate a locally unique solution of a nonlinear operator equation in a Banach space setting. Our results reduce and improve earlier ones in special cases.
Keywords:
provide semilocal convergence analysis halleys method using convex majorants order approximate locally unique solution nonlinear operator equation banach space setting results reduce improve earlier special cases
Affiliations des auteurs :
Ioannis K. Argyros
1
;
Hongmin Ren
2
1
Department of Mathematics Sciences Cameron University Lawton, OK 73505, U.S.A.
2
College of Information and Electronics Hangzhou Polytechnic Hangzhou 31140 Zhejiang, P.R. China
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author = {Ioannis K. Argyros and Hongmin Ren},
title = {On the {Halley} method in {Banach} spaces},
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Ioannis K. Argyros; Hongmin Ren. On the Halley method in Banach spaces. Applicationes Mathematicae, Tome 39 (2012) no. 2, pp. 243-255. doi: 10.4064/am39-2-9
