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Newton-like methods under mild differentiability conditions with error analysis

Published online by Cambridge University Press:  17 April 2009

Ioannis K. Argyros
Ioannis K. Argyros
Affiliation:
Department of Mathematics, New Mexico State UniversityLas Cruces, NM 88003, United States of America
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Abstract

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We apply Newton-like methods to operator equations where the operator has Hölder continuous derivatives. Our results reduce to the ones obtained by Rockne when the ordinary Newton method is applied to find solutions of nonlinear operator equations.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 37 , Issue 1 , February 1988 , pp. 131 - 147
Copyright
Copyright © Australian Mathematical Society 1988

References

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