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On the complexity of extending the convergence region for Traub’s method
Journal of Complexity ( IF 0.888 ) Pub Date : 2019-07-29 , DOI: 10.1016/j.jco.2019.101423
Ioannis K. Argyros; Santhosh George

The convergence region of Traub’s method for solving equations is small in general. This fact limits its applicability. We locate a more precise region containing the Traub iterations leading to at least as tight Lipschitz constants as before. Our convergence analysis is finer, and obtained without additional conditions. The new theoretical results are tested on numerical examples that illustrate their superiority over earlier results.
更新日期:2020-01-04

 

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