10 citations · 24 across the 22 of their papers we have counts for
4 papers · 1 filter
On minimal bases and indices of rational matrices and their linearizations
Agurtzane Amparan, Froilan M. Dopico, Silvia Marcaida +1
A complete theory of the relationship between the minimal bases and indices of rational matrices and those of their strong linearizations is presented. Such theory is based on esta…
Generic symmetric matrix polynomials with bounded rank and fixed odd grade
Fernando De Terán, Andrii Dmytryshyn, Froilán M. Dopico
We determine the generic complete eigenstructures for complex symmetric matrix polynomials of odd grade and rank at most . More precisely, we show that the set…
Local Linearizations of Rational Matrices with Application to Rational Approximations of Nonlinear Eigenvalue Problems
Froilán M. Dopico, Silvia Marcaida, María C. Quintana +1
This paper presents a definition for local linearizations of rational matrices and studies their properties. This definition allows us to introduce matrix pencils associated to a r…
Linear system matrices of rational transfer functions
Froilán M. Dopico, María C. Quintana, Paul Van Dooren
In this paper we derive new sufficient conditions for a linear system matrix where is assu…