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07/26/2023
Generating functions of non-backtracking walks on weighted digraphs: radius of convergence and Ihara's theorem
It is known that the generating function associated with the enumeration...
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11/16/2022
Linearizations of matrix polynomials viewed as Rosenbrock's system matrices
A well known method to solve the Polynomial Eigenvalue Problem (PEP) is ...
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07/14/2022
Perturbation theory of transfer function matrices
Zeros of rational transfer function matrices R(λ) are the eigenvalues of...
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10/24/2021
Strongly minimal self-conjugate linearizations for polynomial and rational matrices
We prove that we can always construct strongly minimal linearizations of...
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03/30/2021
Structural backward stability in rational eigenvalue problems solved via block Kronecker linearizations
We study the backward stability of running a backward stable eigenstruct...
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11/02/2020
Block Full Rank Linearizations of Rational Matrices
Block full rank pencils introduced in [Dopico et al., Local linearizatio...
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09/01/2020
Diagonal scalings for the eigenstructure of arbitrary pencils
In this paper we show how to construct diagonal scalings for arbitrary m...
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03/05/2020
Linearizations of rational matrices from general representations
We construct a new family of linearizations of rational matrices R(λ) wr...
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07/25/2019