Fernando De Terán

activity

20222024

most citedOn bundle closures of matrix pencils and matrix polynomials

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NA2024★ 1 cited

On bundle closures of matrix pencils and matrix polynomials

Fernando De Terán, Froilán M. Dopico, Vadym Koval +1

Bundles of matrix polynomials are sets of matrix polynomials with the same size and grade and the same eigenstructure up to the specific values of the eigenvalues. It is known that…

math.RT2023

Even grade generic skew-symmetric matrix polynomials with bounded rank

Fernando De Terán, Andrii Dmytryshyn, Froilán M. Dopico

We show that the set of $m \times m$ complex skew-symmetric matrix polynomials of even grade $d$ , i.e., of degree at most $d$ , and (normal) rank at most $2 r$ is the closure of the…

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…

On bundle closures of matrix pencils and matrix polynomials

Even grade generic skew-symmetric matrix polynomials with bounded rank

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

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