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On nonlinear SOR-like methods, I — Applications to simultaneous methods for polynomial zeros

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Abstract

This paper presents two convergence theorems for SOR-like methods for solving nonlinear equations inR n orC n. The results are then applied to several methods for finding all the zeros of a polynomial simultaneously.

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This work was partially supported by the Scientific Research Grant-in-Aid from the Ministry of Education, Science, Sports and Culture of Japan.

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Yamamoto, T. On nonlinear SOR-like methods, I — Applications to simultaneous methods for polynomial zeros. Japan J. Indust. Appl. Math. 14, 87–97 (1997). https://doi.org/10.1007/BF03167312

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  • DOI: https://doi.org/10.1007/BF03167312

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