标题:
复矩阵方程AXB = C的最小二乘Hermite解Least Squares Hermitian Solution of Complex Matrix Equation AXB = C
作者:
王鹏, 陈剑波
关键字:
矩阵方程, 最小二乘解, Moore-Penrose广义逆, Hermitian解, Matrix Equation, Least-Square Solution, Moore-Penrose Inverse Generalized, Hermitian Solution
期刊名称:
《Pure Mathematics》, Vol.6 No.1, 2016-01-28
摘要:
本文利用Moore-Penrose广义逆的方法,探讨了复矩阵方程的最小二乘Hermitian解,推到出了该类方程最小范数约束的最小二乘Hermitian解的解析形式。
Based on Moore-Penrose generalized inverse, by making use of matrix-vector production, an analytical expression of the least-squares Hermitian solution with the minimum-norm of complex matrix equation AXB = C is derived.