# 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} }

- Published 2005
DOI:10.1016/j.laa.2005.01.022

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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