On the convergent condition of Durand–Kerner method in parallel circular iteration of multi-step
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摘要
In this paper, a new theorem for the convergence of Durand–Kerner method in parallel circular iteration are given. The uniform convergent condition of multi-step method’s circular iteration is obtained accurately.The constant concerned with the condition is [ln ϕ]−1, which emerged from the convergent conditions of single-step and double-step method, where ϕ=(5+1)/2≈1.61803399.
论文关键词:Durand–Kerner method,Parallel circular iteration,Multi-step
论文评审过程:Available online 25 January 2005.
论文官网地址:https://doi.org/10.1016/j.amc.2004.10.086