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On the symmetric solutions of linear matrix equations. (English) Zbl 0712.15009
Necessary and sufficient conditions are given for the existence of symmetric solutions of the matrix equations $$AX=C$$ and $$AXB=C$$ on the real field, in terms of the singular value decomposition of A and the generalized singular value decomposition of the pair $$(A,B^ T)$$, respectively. Expressions for the general solution are provided for each case.
Reviewer: M.E.Sezer

##### MSC:
 15A24 Matrix equations and identities 15A18 Eigenvalues, singular values, and eigenvectors
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##### References:
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