A high order iteration formula for the simultaneous inclusion of polynomial zeros

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摘要

In this paper, using Lagrange interpolation with special nodes, we construct an iteration for simultaneously finding all zeros of an algebraic polynomial with high order convergence. The convergence analysis, initial conditions and numerical examples are given.

论文关键词：Simultaneous iteration,Zeros of polynomial,Lagrange interpolation,Convergence order,Initial conditions for convergence

论文评审过程：Available online 26 January 2006.

论文官网地址：https://doi.org/10.1016/j.amc.2005.11.117