Least-squares Solution of the Matrix Equation [A_1XB_1,A_2XB_2]=[C,D]
Huang Jing · Journal of Sichuan Normal University · 2003
Solving the mathematical model of a class of composite linear systems is reduced to matrix equations of the form A1XB1,A2XB2]=. Since the equations of this kind are usually unsolvable, the studying its leastsquares solutions is of equal importance. In this paper, using generalized singular value decomposition of matrices and invariant of Frobenius norm of orthogonal matrix product, the expressions of the leastsquares solution on the real matrix equations 糤THX〗A= are given.