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Least-squares solutions to the matrix equations AX = B and XC = D
Authors:Yongxin Yuan
Institution:School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212003, PR China
Abstract:The least-squares solution and the least-squares symmetric solution with the minimum-norm of the matrix equations AX = B and XC = D are considered in this paper. By the matrix differentiation and the spectral decomposition of matrices, an explicit representation of such solution is given.
Keywords:Matrix equation  Least-squares solution  Symmetric solution
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