A new simultaneous method of fourth order for finding complex zeros in circular interval arithmetic

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摘要

Starting from disjoint disks which contain polynomial complex zeros, the new iterative interval method for simultaneous finding of inclusive disks for complex zeros is formulated. The convergence theorem and the conditions for convergence are considered, and the convergence is shown to be fourth. Numerical examples are included.

论文关键词:Iterative method,Interval arithmetic,Zeros of polynomial,Lagrange interpolation,Order of convergence

论文评审过程:Received 14 April 1999, Available online 7 May 2001.

论文官网地址:https://doi.org/10.1016/S0377-0427(99)00375-1