Chen Yuming, Xiao Heng. The Expliclt solution of the Matrix Equation AX-XB=C──To the memory of Prof[J]. Applied Mathematics and Mechanics, 1995, 16(12): 1051-1059.
Citation: Chen Yuming, Xiao Heng. The Expliclt solution of the Matrix Equation AX-XB=C──To the memory of Prof[J]. Applied Mathematics and Mechanics, 1995, 16(12): 1051-1059.

The Expliclt solution of the Matrix Equation AX-XB=C──To the memory of Prof

  • Received Date: 1995-02-28
  • Publish Date: 1995-12-15
  • Almost all of the existing results on the explicit solutions of the matrix equation AX-XB=C are obtained under the condition that A and B have no eigenvalues incommon For both symmetric or skewsymmetric matrices A and B.we shall give outthe explicit general solutions of this equation by using the notions of eigenprojections The results we obtained are applicable not only to any cases of eigenvalues regardlessof their multiplicities but also to the discussion of the general case of this equation.
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