4 papers
Rosenbrock's Theorem on System Matrices over Elementary Divisor Domains
Froilán Dopico, Vanni Noferini, Ion Zaballa
Rosenbrock's theorem on polynomial system matrices is a classical result in linear systems theory that relates the Smith-McMillan form of a rational matrix with the Smith forms…
On a formula of Thompson and McEnteggert for the adjugate matrix
Kenier Castillo, Ion Zaballa
For an eigenvalue of a Hermitian matrix , the formula of Thompson and McEnteggert gives an explicit expression of the adjoint of , , in ter…
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…
On variation of eigenvalues of birth and death matrices and random walk matrices
K. Castillo, I. Zaballa
The purpose of this note is twofold: firstly to improve the known results on variation of extreme eigenvalues of birth and death matrices and random walk matrices; and secondly to…