On Newton-type methods for multiple roots with cubic convergence |
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| Authors: | H.H.H. Homeier |
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| Affiliation: | Institut für Physikalische und Theoretische Chemie, Universität Regensburg, 93040 Regenburg, Germany science + computing ag, Ingolstädter Str. 22, 80807 München, Germany |
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| Abstract: | We introduce two families of Newton-type methods for multiple roots with cubic convergence. A further Newton-type method for multiple roots with cubic convergence is presented that is related to quadrature. We also provide numerical tests that show that these new methods are competitive to other known methods for multiple roots. |
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| Keywords: | 41A25 65D99 |
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