Farmer, Michael and Loizou, George and Maybank, Stephen J. (2017) Iteration functions re-visited. Journal of Computational and Applied Mathematics 311 , pp. 484-496. ISSN 0377-0427.
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Official URL: http://dx.doi.org/10.1016/j.cam.2016.08.021
Abstract
Two classes of Iteration Functions (IFs) are derived in this paper. The first (one-point IFs) was originally derived by Joseph Traub using a different approach to ours (simultaneous IFs). The second is new and is demonstrably shown to be more informationally efficient than the first. These IFs apply to polynomials with arbitrary complex coefficients and zeros, which can also be multiple.
Metadata
Item Type: | Article |
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Keyword(s) / Subject(s): | Iteration Functions, Polynomial Zeros, Multiple Zeros |
School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
Depositing User: | Administrator |
Date Deposited: | 01 Sep 2016 14:29 |
Last Modified: | 09 Aug 2023 12:38 |
URI: | https://eprints.bbk.ac.uk/id/eprint/15900 |
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