%0 Journal Article
%T 复矩阵方程<i>AXB</i> = <i>C</i>的最小二乘Hermite解<br>Least Squares Hermitian Solution of Complex Matrix Equation <i>AXB</i> = <i>C</i>
%A 王鹏
%A 陈剑波
%J Pure Mathematics
%P 42-49
%@ 2160-7605
%D 2016
%I Hans Publishing
%R 10.12677/PM.2016.61007
%X <p>
	<span style=\"line-height:1.5;\">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。</span>
</p>
<p>
	<span style=\"line-height:1.5;\">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 </span><em style=\"line-height:1.5;\">AXB</em><span style=\"line-height:1.5;\"> = </span><em style=\"line-height:1.5;\">C</em><span style=\"line-height:1.5;\"> is derived.</span>
</p>
%K 矩阵方程，最小二乘解，Moore-Penrose广义逆，Hermitian解
%K Matrix Equation
%K Least-Square Solution
%K Moore-Penrose Inverse Generalized
%K Hermitian Solution
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=16846