On the consistency of the matrix equation $X^{\top }AX=B$ when $B$ is symmetric: the case where CFC($A$) includes skew-symmetric blocks

Alberto Borobia, Roberto Canogar, Fernando De Terán

In this paper, which is a follow-up to [A. Borobia, R. Canogar, F. De Terán, Mediterr. J. Math. 18, 40 (2021)], we provide a necessary and sufficient condition for the matrix equat…