5 papers
Row completion of polynomial and rational matrices II
Agurtzane Amparan, Itziar Baragaña, Silvia Marcaida +1
We study the row completion problem of polynomial and rational matrices with partial prescription of the structural data. The prescription of the complete structural data has been…
Row completion of polynomial and rational matrices
Agurtzane Amparan, Itziar Baragaña, Silvia Marcaida +1
We characterize the existence of a polynomial (rational) matrix when its eigenstructure (complete structural data) and some of its rows are prescribed. For polynomial matrices, thi…
Row or column completion of polynomial matrices of given degree II
Agurtzane Amparan, Itziar Baragaña, Silvia Marcaida +1
The row (column) completion problem of polynomial matrices of given degree with prescribed eigenstructure has been studied in \cite{AmBaMaRo23}, where several results of prescripti…
Row or column completion of polynomial matrices of given degree
A. Amparan, I. Baragaña, S. Marcaida +1
We solve the problem of characterizing the existence of a polynomial matrix of fixed degree when its eigenstructure (or part of it) and some of its rows (columns) are prescribed. M…
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…