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, PDF, HTML, XML, 下载: 2,333  浏览: 6,285  科研立项经费支持
作者: 王 鹏*, 陈剑波*：五邑大学数学与计算科学学院，广东 江门
关键词: 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
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.

文章引用：王鹏, 陈剑波. 复矩阵方程AXB = C的最小二乘Hermite解[J]. 理论数学, 2016, 6(1): 42-49. http://dx.doi.org/10.12677/PM.2016.61007

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