Scalar Product Spaces, Structured Matrices, Exchange Operator
The properties of the exchange operator on some types of matrices are explored in this paper. In particular, the properties of exc(A,p,q), where A is a given structured matrix of size (p+q)×(p+q) and exc : M ×N×N → M is the exchange operator are studied. This paper is a generalization of one of the results in [N.J. Higham. J-orthogonal matrices: Properties and generation. SIAM Review, 45:504–519, 2003.].
Cheng, Hanz Martin C. and David, Roden Jason.
"Some Properties of the Exchange Operator with respect to Structured Matrices defined by Indefinite Scalar Product Spaces",
Electronic Journal of Linear Algebra,