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

Published online by Cambridge University Press:  17 February 2009

Shiming Zheng  and
Desmond Robbie
Shiming Zheng
Affiliation:
Department of Mathematics, Hangzhou University, Hangzhou 310028, China.
Desmond Robbie
Affiliation:
Department of Mathematics, University of Melbourne, Parkville 3052, Australia.
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Abstract

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 37 , Issue 1 , July 1995 , pp. 16 - 25
Copyright
Copyright © Australian Mathematical Society 1995

References

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