J Austral Math Soc Ser B 37 pp16--25, 1995.

A note on the convergence of Halley's method for solving operator equations

Shming Zheng and Desmond Robbie

(Received 9 October 1992; revised 28 January 1994)

Abstract

Halley's method is a famous iteration for solving nonlinear equations. Some Kantorovich-like theorems have been given. The purpose of this note is to relax the region conditions and give another Kantorovich-like theorem for operator equations.

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Authors

Shming Zheng: Department of Mathematics, Hangzhou University, Hangzhou 310028, China.
Desmond Robbie: Department of Mathematics, University of Melbourne, Parkville 3052, Australia.

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Last Modified: Mon Dec 10 11:52:58 2001