1 citations · 1 across the 11 of their papers we have counts for
11 papers
Distance to nearest skew-symmetric matrix polynomials of bounded rank
Andrii Dmytryshyn, Froilán M. Dopico, Rakel Hellberg
We propose an algorithm that approximates a given matrix polynomial of degree by another skew-symmetric matrix polynomial of a specified rank and degree at most . The algori…
Generic real Jordan canonical forms
Fernando De Terán, Froilán M. Dopico
We obtain the generic real Jordan canonical forms for matrices with real entries. More precisely, we prove that the set of real matrices is the union of the…
The generic canonical form for congruence of matrices
Fernando De Terán, Froilán M. Dopico
First, we prove that the set of complex matrices is the closure of a certain open subset whose elements have a very specific canonical form under congruence, which is u…
Real-congruence canonical forms of real matrices
Fernando De Terán, Froilán M. Dopico
We present two new canonical forms for real congruence of a real square matrix . The first one is a direct sum of canonical matrices of four different types and is obtained from…
On the dimension of orbits of matrix pencils under strict equivalence
Fernando De Terán, Froilán M. Dopico, Patryk Pagacz
We prove that, given two matrix pencils and , if belongs to the closure of the orbit of under strict equivalence, then the dimension of the orbit of is smaller t…
Polynomial and rational matrices with the invariant rational functions and the four sequences of minimal indices prescribed
Itziar Baragaña, Froilán M. Dopico, Silvia Marcaida +1
The complete eigenstructure, or structural data, of a rational matrix is comprised by its invariant rational functions, both finite and at infinity, which in turn determine…