Homeier, Herbert H. H. (2003) A modified Newton method for rootfinding with cubic convergence. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 157 (1). pp. 227-230. ISSN 0377-0427
Full text not available from this repository.Abstract
We consider a modification of the Newton method for finding a zero of a univariate function. The case of multiple roots is not treated. It is proven that the modification converges cubically. Per iteration it requires one evaluation of the function and two evaluations of its derivative. Thus, the modification is suitable if the calculation of the derivative has a similar or lower cost than that of the function itself. Classes of such functions are sketched and a numerical example is given. (C) 2003 Published by Elsevier B.V.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | rootfinding; Newton method |
| Subjects: | 500 Science > 540 Chemistry & allied sciences |
| Divisions: | Chemistry and Pharmacy > Institut für Physikalische und Theoretische Chemie |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 17 Aug 2023 09:54 |
| Last Modified: | 17 Aug 2023 09:54 |
| URI: | https://pred.uni-regensburg.de/id/eprint/38771 |
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