✦ LIBER ✦

On Newton-type methods for multiple roots with cubic convergence

✍ Scribed by H.H.H. Homeier

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 374 KB
Volume: 231
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2009.02.006

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✦ Synopsis

a b s t r a c t

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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