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math.NA2022
Linearizations of matrix polynomials viewed as Rosenbrock's system matrices
Froilán M. Dopico, Silvia Marcaida, María C. Quintana +1
A well known method to solve the Polynomial Eigenvalue Problem (PEP) is via linearization. That is, transforming the PEP into a generalized linear eigenvalue problem with the same…
math.NA2022
Revisiting the matrix polynomial greatest common divisor
Vanni Noferini, Paul Van Dooren
In this paper we revisit the greatest common right divisor (GCRD) extraction from a set of polynomial matrices $P_i(λ)\in \F[\la]^{m_i\times n}$, with coefficients i…