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Anping Liao, Yuan Lei, OPTIMAL APPROXIMATE SOLUTION OF THE MATRIX EQUATION AX B = C OVER SYMMETRIC MATRICES, Journal of Computational Mathematics, Vol. 25, No. 5 (September 2007), pp. 543-552 ...
We study the matrix equation XA - AX = Ï„ (X) in Mn (K), where Ï„ is an automorphism of a field K of finite order k. A criterion under which this equation has a nontrivial solution is given. In case ...