Results 31 to 40 of about 1,581,020 (197)
On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]
, 2011 Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Blower, Gordon
core +5 more sources
Efficient Beampattern Synthesis for Sparse Frequency Diverse Array via Matrix Pencil Method
Sensors, 2022 Due to the introduction of frequency offsets, the pattern synthesis problem of sparse Frequency diverse array (FDA) becomes more complicated than that of the phased array. A typical way to solve this problem is to use a global optimization algorithm, but
Xiaolang Shao +5 more
doaj +1 more source
On determinants identity minus Hankel matrix [PDF]
Bulletin of the London Mathematical Society, 2019 In this note, we study the asymptotics of the determinant $\det(I_N - βH_N)$ for $N$ large, where $H_N$ is the $N\times N$ restriction of a Hankel matrix $H$ with finitely many jump discontinuities in its symbol satisfying $\|H\|\leq 1$. Moreover, we assume $β\in\mathbb C$ with $|β|<1$ and $I_N$ denotes the identity matrix.
Fedele, Emilio, Gebert, Martin
openaire +2 more sources
Discrete Tracy--Widom operators. [PDF]
, 2009 Integrable operators arise in random matrix theory, where they describe the asymptotic eigenvalue distribution of large self-adjoint random matrices from the generalized unitary ensembles.
McCafferty, Andrew, Blower, Gordon
core +4 more sources
A note on the maximization of matrix valued Hankel determinants with applications [PDF]
Journal of Computational and Applied Mathematics, 2005 In this note we consider the problem of maximizing the determinant of moment matrices of matrix measures. The maximizing matrix measure can be characterized explicitly by having equal (matrix valued) weights at the zeros of classical (one dimensional) orthogonal polynomials.
Dette, Holger, Studden, W. J.
openaire +4 more sources
Applications of Hankel and Regular Matrices in Fourier Series
Abstract and Applied Analysis, 2013 Recently, Alghamdi and Mursaleen (2013) used the Hankel matrix to determine the necessary and suffcient condition to find the sum of the Walsh-Fourier series.
Abdullah Alotaibi, M. Mursaleen
doaj +1 more source
Hankel matrix transforms and operators [PDF]
Journal of Inequalities and Applications, 2012 The article under review concerns Hankel matrices and Hankel operators. Reviewer's remark: The paper contains errors. In particular, the paper contains the following result: Theorem 3.1. A Hankel matrix is regular if and only if (i) \(\lim_{n\to\infty}h_{n+k}=0\). (ii) \(\lim_{n\to\infty}\sum_{k=1}^\infty h_{n+k}=1\). (iii) \(\sup_n\sum_{k=1}^\infty|h_{
openaire +2 more sources
Simultaneously Low Rank and Group Sparse Decomposition for Rolling Bearing Fault Diagnosis
Sensors, 2020 Singular value decomposition (SVD) methods have aroused wide concern to extract the periodic impulses for bearing fault diagnosis. The state-of-the-art SVD methods mainly focus on the low rank property of the Hankel matrix for the fault feature, which ...
Kai Zheng +5 more
doaj +1 more source
Testing the Rank of the Hankel Matrix: A Statistical Approach [PDF]
, 2003 The rank of the Hankel matrix, corresponding to a system transfer function, is equal to the order of its minimal state space realization. The computation of the rank of the Hankel matrix is complicated by the fact that its block elements are rarely given exactly but are estimated instead. In this paper, we propose new statistical tests to determine the
Camba-Méndez, Gonzalo +1 more
openaire +2 more sources
Journal of Marine Science and Engineering, 2021 This paper focuses on the formulation of state–space representations of radiation forces for marine structures using Hankel Singular Value Decomposition (HSVD), a method used to obtain a state–space realization from a Hankel matrix, with the classical ...
Romain Lecuyer-Le Bris +3 more
doaj +1 more source