一族求多项式零点的高阶并行迭代法  

A Family of High-order Parallel Iterative Methods for Finding Zeros of Polynomials

作　　者：张昕[1] 钟孝畴 ZHANG Xin;ZHONG Xiaochou(College of Mathematic and Informatics,South China Agricultural University,Guangzhou 510642,China;Lianyuan No.2 Middle School,Loudi 417000,China)

机构地区：[1]华南农业大学数学与信息学院,广东广州510642 [2]涟源市第二中学,湖南娄底417000

出　　处：《湖南理工学院学报(自然科学版)》2025年第1期7-9,共3页Journal of Hunan Institute of Science and Technology(Natural Sciences)

摘　　要：讨论一族同时求多项式零点的并行迭代法,证明其收敛性且收敛阶为4,并通过数值例子验证该迭代法具有较高的计算效率.In this paper,we discuss a family of parallel iterative methods for simultaneously finding simple zeros of polynomials,prove that these methods are convergent,and their order are 4,and verify that the iterative methods have high computational efficiency by numerical examples.

关 键 词：多项式零点 迭代法 收敛阶 

分 类 号：O241[理学—计算数学]