南京师大学报(自然科学版)2011,Vol.34Issue(3):44-49,6.
李亚普诺夫方程AX+XB=C的简洁解及其应用
The Simple Formulae of Solutions to Liapunov Matrix Equation AX+XB=C and Its Application
摘要
Abstract
At first, the simple expression of solutions to matrix equation AX + XB = C is given, the second an explicit formulae for the minimum-norm least-squares solutions of matrix equation AX + YB = E is obtained, finally, a numerical example is given.关键词
李亚普诺夫方程/约当标准型/最小二乘解/极小范数最小二乘解Key words
Liapunov matrix equation/Jordan canonical form/the least-squares solution/the minimum-norm least-squares solution分类
数理科学引用本文复制引用
尤兴华,马圣容..李亚普诺夫方程AX+XB=C的简洁解及其应用[J].南京师大学报(自然科学版),2011,34(3):44-49,6.基金项目
江苏省高校自然科学基金(07KJD110077). (07KJD110077)