Geodesic
On the Halley method in Banach spaces
Ioannis K. Argyros1 ; Hongmin Ren2
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
Applicationes Mathematicae, Tome 39 (2012) no. 2, pp. 243-255 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am39-2-9
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

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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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

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