Improving Convergence Analysis of the Newton–Kurchatov Method under Weak Conditions
The technique of using the restricted convergence region is applied to study a semilocal convergence of the Newton−Kurchatov method. The analysis is provided under weak conditions for the derivatives and the first order divided differences. Consequently, weaker sufficient convergence crite...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2020-01-01
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Series: | Computation |
Subjects: | |
Online Access: | https://www.mdpi.com/2079-3197/8/1/8 |
Summary: | The technique of using the restricted convergence region is applied to study a semilocal convergence of the Newton−Kurchatov method. The analysis is provided under weak conditions for the derivatives and the first order divided differences. Consequently, weaker sufficient convergence criteria and more accurate error estimates are retrieved. A special case of weak conditions is also considered. |
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ISSN: | 2079-3197 |