The skew-symmetric orthogonal solutions of the matrix equation AX = B

@inproceedings{Meng2005TheSO,
  title={The skew-symmetric orthogonal solutions of the matrix equation AX = B},
  author={Chunjun Meng and Xi-Yan Hu and Lei Zhang},
  year={2005}
}
Abstract An n  ×  n real matrix X is said to be a skew-symmetric orthogonal matrix if X T  = − X and X T X  =  I . Using the special form of the C–S decomposition of an orthogonal matrix with skew-symmetric k  ×  k leading principal submatrix, this paper establishes the necessary and sufficient conditions for the existence of and the expressions for the skew-symmetric orthogonal solutions of the matrix equation AX  =  B . In addition, in corresponding solution set of the equation, the explicit… CONTINUE READING
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Anti-symmetric solutions of a class of linear matrix equations

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