Acta mathematica scientia,Series A ›› 1999, Vol. 19 ›› Issue (4): 467-471.

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Matrix equation X+AXB=C and best approximation of a matrix on the lineat mainfold

  

  1. (Department Mathematics, Huber Educational College,Wuhan 430060)

  • Online:1999-11-01 Published:1999-11-01

Abstract:

In this paper, we give that a nessary and sufficient condition for the matrix equation X+AXB=C to have unique solution and the expression of unique solution. use the results abut X+AXB=C, we obtain that the expression of best approximation of the A1XB1-C12F +A2XB2-C22F = min.

Key words:  Matrixequaiton, Matrix, Bestapproximation.

CLC Number: 

  • 15A24
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