北华大学学报(自然科学版)2016,Vol.17Issue(3):301-304,4.DOI:10.11713/j.issn.1009-4822.2016.03.004
矩阵方程AX+XB=C对称解的可信算法
Verified Algorithm for a Symmetric Solution of Matrix Equation AX+XB=C
摘要
Abstract
Using the interval arithmetic theory,an algorithm for computing an approximate symmetric solution and its verified error bound of matrix equation AX+XB=C is presented,and there must be an exact solution in the error bounds obtained by this algorithm.关键词
可信误差界/区间运算/Sylvester矩阵方程/对称解Key words
verified error bound/interval arithmetic/Sylvester matrix equation/symmetric solution分类
数理科学引用本文复制引用
刘畔畔,李梓毓,李庆春,桑海风,崔莹..矩阵方程AX+XB=C对称解的可信算法[J].北华大学学报(自然科学版),2016,17(3):301-304,4.基金项目
国家自然科学基金项目(11171133) (11171133)
吉林省教育厅科学技术研究项目(2015131 ()
2015156) ()