理论数学  >> Vol. 6 No. 1 (January 2016)

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: 1,541  浏览: 3,966  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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