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关于矩阵方程AXB=E的加权最小二乘Hermite解

作者:王明辉; 魏木生标准相关分解加权最小二乘解最佳逼近解矩阵方程

摘要:In this paper, we discuss the matrix equation AXB = C. We obtain a terse expression of weighted least-squares solution by applying the canonical correlation decomposition(CCD), we discuss the sufficient and necessary conditions for existence of Hermitian solutions, and derive a general form of the Hermite solutions.We also derive the expression of the optimal approximation solution in the set of Hermite soluti6ns to given matrix.

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计算数学

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