Extending the applicability of a third-order scheme with Lipschitz and Hölder continuous derivative in Banach spaces

Extending the applicability of a third-order scheme with Lipschitz and Hölder continuous derivative in Banach spaces

Abstract We extend the applicability of a cubically convergent nonlinear system solver using Lipschitz continuous first-order Fréchet derivative in Banach spaces. This analysis avoids the usual application of Taylor expansion in convergence analysis and extends the applicability of the scheme by app...

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Bibliographic Details
Main Authors: Debasis Sharma, Sanjaya Kumar Parhi
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Local convergence
Iterative schemes
Banach space
Lipschitz continuity condition
Hölder continuity condition
Online Access:http://link.springer.com/article/10.1186/s42787-020-00088-2

Internet

http://link.springer.com/article/10.1186/s42787-020-00088-2

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