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一矩阵方程组的反射解

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Reflexive solution to a system of matrix equations
We derive necessary and sufficient conditions for the existence and an expression of the (anti)reflexive solution with respect to the nontrivial generalized reflection matrix P to the system of complex matrix equations AX = B and XC = D.The explicit solutions of the approximation problem minX∈φ‖X- E‖F was given, where E is a given complex matrix and o is it was pointed that some results in a recent paper are special cases of this paper.

system of matrix equations, Moore-Penrose inverse, reflexive matrix, antireflexive matrix, Frobenius norm.

常海霞、王卿文

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Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China

system of matrix equations, Moore-Penrose inverse, reflexive matrix, antireflexive matrix, Frobenius norm.

国家自然科学基金

60672160

2007

上海大学学报(英文版)
上海大学

上海大学学报(英文版)

影响因子：0.196
ISSN：1007-6417
年,卷(期)：2007.11(4)
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