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复矩阵方程AXB = C的最小二乘Hermite解
Least Squares Hermitian Solution of Complex Matrix Equation AXB = C

DOI: 10.12677/PM.2016.61007, PP. 42-49

Keywords: 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

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Abstract:

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.

References

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