摘要
利用区间运算的相关理论,当Sylvester矩阵方程的系数矩阵不可对角化时,提出了计算其近似对称解及其可信误差界的算法,由此算法得到的误差界范围内必定存在一个精确对称解.
Using the interval arithmetic theory,when the coefficient matrices of Sylvester matrix equation are not diagonalizable,an algorithm for calculating the approximate symmetric solution and its verified error bound are proposed,and there must be an exact solution in this error bound obtained by this algorithm.
作者
刘畔畔
桑海风
赵盈
王尧
Liu Panpan;Sang Haifeng;Zhao Ying;Wang Yao(School of Mathematics and Statistics,Beihua University,Jilin 132013,China;Mechanical Engineering College of Beihua University,Jilin 132021,China)
出处
《北华大学学报(自然科学版)》
CAS
2019年第6期714-718,共5页
Journal of Beihua University(Natural Science)
基金
吉林省教育厅科学技术研究项目(JJKH20190639KJ)