Results 11 to 20 of about 549,018 (333)
Matrix of Polynomials Model based Polynomial Dictionary Learning Method for Acoustic Impulse Response Modeling [PDF]
, 2017 We study the problem of dictionary learning for signals that can be represented as polynomials or polynomial matrices, such as convolutive signals with time delays or acoustic impulse responses.
Dong, Jing +4 more
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Matrix Approaches for Gould–Hopper–Laguerre–Sheffer Matrix Polynomial Identities [PDF]
Axioms, 2023 The Gould–Hopper–Laguerre–Sheffer matrix polynomials were initially studied using operational methods, but in this paper, we investigate them using matrix techniques.
Tabinda Nahid +2 more
doaj +2 more sources
Geometry of Matrix Polynomial Spaces [PDF]
Foundations of Computational Mathematics, 2019 Let \(P(\lambda)\) be an \(m \times n\) matrix polynomial defined by \[ P(\lambda) = \lambda^d A_d + \dots + \lambda A_1 +A_0 \] where \(A_i \in {\mathbb C} ^{m\times n}\) for \(i = 0, \dots, d\), and \(A_d \neq 0\). Let \(E(\lambda)\) be an \(m\times n\) matrix polynomial with \(\deg P(\lambda) \ge \deg E(\lambda)\).
Andrii Dmytryshyn +3 more
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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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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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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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