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    Iteration functions re-visited

    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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    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.


    Item Type: Article
    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


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