16 citations · 48 across the 45 of their papers we have counts for
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The vector space of pencils for singular matrix polynomials
Froilán Dopico, Vanni Noferini
Given a possibly singular matrix polynomial , we study how the eigenvalues, eigenvectors, root polynomials, minimal indices, and minimal bases of the pencils in the vector sp…
On the Rellich eigendecomposition of para-Hermitian matrices and the sign characteristics of -palindromic matrix polynomials
Giovanni Barbarino, Vanni Noferini
We study the eigendecompositions of para-Hermitian matrices , that is, matrix-valued functions that are analytic and Hermitian on the unit circle . In…
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…
Eigenvalue avoidance of structured matrices depending smoothly on a real parameter
Yuji Nakatsukasa, Vanni Noferini
We explore the concept of eigenvalue avoidance, which is well understood for real symmetric and Hermitian matrices, for other classes of structured matrices. We adopt a differentia…
Perturbation theory of transfer function matrices
Vanni Noferini, Lauri Nyman, Javier Pérez +1
Zeros of rational transfer function matrices are the eigenvalues of associated polynomial system matrices , under minimality conditions. In this paper we define a stru…
Root vectors of polynomial and rational matrices: theory and computation
Vanni Noferini, Paul Van Dooren
The notion of root polynomials of a polynomial matrix was thoroughly studied in [F. Dopico and V. Noferini, Root polynomials and their role in the theory of matrix polynomia…