Iteration Functions re-visited

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• 作者：Michael Farmer ; George Loizou ^{george@dcs.bbk.ac.uk" class="auth_mail" title="E-mail the corresponding author} ; Stephen Maybank ; ^{sjmaybank@dcs.bbk.ac.uk" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Iteration Functions ; Polynomial zeros ; Multiple zeros
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：311
• 期：Complete
• 页码：484-496
• 全文大小：468 K

文摘

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.