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Matrix equations under semi-Tensor ProductAx=B; XC=DLeast Squares solution

Tao Liu

Abstract


 In this paper, we study the matrix equations under the semi-tensor product.Ax=B; XC=DThe least squares solution under Different ConditionsXThe following2.RP£q,Where MatrixA 2RM £ nB 2RH £ KC 2RA £ BD 2RL £ dGiven.According to the definition of semi-tensor product, it is transformed into matrix equations under ordinary product.,Combined with the Matrix Singular Value Decomposition and matrix differential, the analytic expression of the least squares solution of the equations under different circumstances is given.,And it is verified by numerical examples..


Keywords


Semi-Tensor Product;Matrix Equations;Least Squares Solution;Singular Value Decomposition

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Copyright (c) 2018 Tao Liu

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