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

Chen Yuming; Xiao Heng

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Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(12): 1051-1059

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.

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.

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

Chen Yuming¹,
Xiao Heng²

1.
Department of Applied Mathematics, Human University, Changsha 410012, P. P. China;
2.
Departmeni of Mafhematics, Peking University, Beijing 100871, P. R. China

Received Date: 1995-02-28
Publish Date: 1995-12-15

Abstract

Abstract

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.
- matrix cquation,
- explicit solution,
- eigenprojection matrix squareproduct,

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References(15)

References

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