Iteration Functions re-visited

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:311

Article

Farmer, Michael¹  Loizou, George¹  Maybank, Stephen¹ 

[1] Birkbeck Univ London, Dept Comp Sci & Informat Syst, London WC1E 7HX, England

关键词: Iteration Functions;    Polynomial zeros;    Multiple zeros;   

DOI  :  10.1016/j.cam.2016.08.021

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

Free