Homeier, H. H. H. (2009) On Newton-type methods for multiple roots with cubic convergence. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 231 (1). pp. 249-254. ISSN 0377-0427,
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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. (C) 2009 Elsevier B.V. Ail rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | FINDING METHODS; FAMILY; ZEROS; Rootfinding; Newton method; Multiple roots; Chebyshev method; Halley method; Newton-type methods |
| Subjects: | 500 Science > 540 Chemistry & allied sciences |
| Divisions: | Chemistry and Pharmacy > Institut für Physikalische und Theoretische Chemie > Chair of Chemistry III - Physical Chemistry (Molecular Spectroscopy and Photochemistry) > Prof. Dr. Hartmut Yersin |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 09 Sep 2020 04:51 |
| Last Modified: | 09 Sep 2020 04:51 |
| URI: | https://pred.uni-regensburg.de/id/eprint/28491 |
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