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Dong, C.Z., Wang, Q.W. and Zhang, Y.P. (2012) The Common Positive Solution to Adjointable Operators Equations with an Application. Journal of Mathematical Analysis and Applications, 396, 670-679.
http://dx.doi.org/10.1016/j.jmaa.2012.07.001

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• 标题: 复矩阵方程AXB = C的最小二乘Hermite解Least Squares Hermitian Solution of Complex Matrix Equation AXB = C

  作者: 王鹏, 陈剑波

  关键字: 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

  期刊名称: 《Pure Mathematics》, Vol.6 No.1, 2016-01-28

  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.