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math.NA2019
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…
math.NA2019
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…