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math.SP2025
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…
math.SP2025
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…