Roberto Canogar

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20182022

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math.RA2022

On the consistency of the matrix equation $X^{⊤} A X = B$ 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…

math.RA2022

The equation $X^{⊤} A X = B$ with $B$ skew-symmetric: How much of a bilinear form is skew-symmetric?

Alberto Borobia, Roberto Canogar, Fernando De Terán

Given a bilinear form on $C^{n}$ , represented by a matrix $A \in C^{n \times n}$ , the problem of finding the largest dimension of a subspace of $C^{n}$ such that t…

On the consistency of the matrix equation X⊤AX=B when B is symmetric: the case where CFC(A) includes skew-symmetric blocks

The equation X⊤AX=B with B skew-symmetric: How much of a bilinear form is skew-symmetric?

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

The equation $X^{⊤} A X = B$ with $B$ skew-symmetric: How much of a bilinear form is skew-symmetric?