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Sharp error bounds for Newton-like methods under weak smoothness assumptions

Published online by Cambridge University Press:  17 April 2009

Ioannis K. Argyros
Affiliation:
Department of MathematicsCameron UniversityLawton OK 73505United States of America
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Abstract

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We provide sufficient convergence conditions as well as sharp error bounds for Newton-like iterations which generalise a wide class of known methods for solving nonlinear equations in Banach space.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1992

References

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