The \((P,Q)\) generalized reflexive and anti-reflexive solutions of the matrix equation \(AX=B\)
The paper is concerned with the solutions of a matrix equation \(AX=B\) (over the complex numbers), where \(X\) is subject to one of the conditions \(X=\pm PXQ\); here \(P\) and \(Q\) denote (in the terminology of the authors) ``generalized reflection matrices'', i.~e., \(P^2=I\), \(P^HP=I\), and likewise for \(Q\). Also, the solutions which are nearest to a given matrix (in terms of the Frobenius norm) are considered.
(\(P, Q\)) generalized anti-reflexive matrix
scientific article; zbMATH DE number 5534860