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An Algorithm for the Fisher Information Matrix of a VARMAX Process
Algorithms, 2023 In this paper, an algorithm for Mathematica is proposed for the computation of the asymptotic Fisher information matrix for a multivariate time series, more precisely for a controlled vector autoregressive moving average stationary process, or VARMAX ...
André Klein, Guy Mélard
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Stieltjes Property of Quasi-Stable Matrix Polynomials
Mathematics, 2022 In this paper, basing on the theory of matricial Hamburger moment problems, we establish the intrinsic connections between the quasi-stability of a monic or comonic matrix polynomial and the Stieltjes property of a rational matrix-valued function built ...
Xuzhou Zhan, Bohui Ban, Yongjian Hu
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Eigenvalue Estimates via Pseudospectra
Mathematics, 2021 In this note, given a matrix A∈Cn×n (or a general matrix polynomial P(z), z∈C) and an arbitrary scalar λ0∈C, we show how to define a sequence μkk∈N which converges to some element of its spectrum.
Georgios Katsouleas +2 more
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IEEE Access, 2021 This paper focuses on stability analysis and stabilization of a switched system under average dwell time criteria in the continuous-time domain. The matrix polynomial approach is applied to the switched system to construct a continuous Lyapunov function ...
Yongjun Zhou, Lei Cheng, Hongbin Zhang
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Mathematical Modelling and Analysis, 2020 Solutions of nonhomogeneous systems of linear differential equations with multiple constant delays are explicitly stated without a commutativity assumption on the matrix coefficients.
Michal Pospíšil
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Triangularizing Quadratic Matrix Polynomials [PDF]
SIAM Journal on Matrix Analysis and Applications, 2013 We show that any regular quadratic matrix polynomial can be reduced to an upper triangular quadratic matrix polynomial over the complex numbers preserving the finite and infinite elementary divisors. We characterize the real quadratic matrix polynomials that are triangularizable over the real numbers and show that those that are not triangularizable ...
Tisseur, Françoise, Zaballa, Ion
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On Characteristic Polynomial of Antiadjacency Matrix of A Line Digraph
Jurnal Matematika UNAND, 2022 In this paper, we find the characteristic polynomial of the antiadjacency matrix of a line digraph. There are recent studies on the relation between the characteristic polynomial of the adjacency matrix and its line digraph, we are also interested in ...
Muhammad Irfan Arsyad Prayitno +1 more
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Some Results on the Field of Values of Matrix Polynomials [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, the notions of pseudofield of values and joint pseudofield of values of matrix polynomials are introduced and some of their algebraic and geometrical properties are studied.
Zahra Boor Boor Azimi +1 more
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Joint Numerical Range of Matrix Polynomials [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2009 Some algebraic properties of the sharp points of the joint numerical range of a matrix polynomials are the main subject of this paper. We also consider isolated points of the joint numerical range of matrix polynomials.
Ahmed Sabir
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Hermitian and Unitary Almost-Companion Matrices of Polynomials on Demand
Entropy, 2023 We introduce the concept of the almost-companion matrix (ACM) by relaxing the non-derogatory property of the standard companion matrix (CM). That is, we define an ACM as a matrix whose characteristic polynomial coincides with a given monic and generally ...
Liubov A. Markovich +2 more
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