Recursive algorithm without extra function evaluations for the Jacobian matrix of Viéta's polynomial system with applications

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摘要

This paper describes a simple recursion without extra function calculating for Jacobian matrix of Viéta's polynomial system and its applications in simultaneously approximating all the zeros of a polynomial with complex coefficient.

论文关键词:Polynomial zeros,Simultaneous approximation of all zeros,Newton's method

论文评审过程:Available online 25 February 2004.

论文官网地址:https://doi.org/10.1016/j.amc.2003.12.107