Results 31 to 40 of about 1,420 (175)
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
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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.
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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
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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_{
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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
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Structural-Missing Tensor Completion for Robust DOA Estimation with Sensor Failure
Applied Sciences, 2023 Array sensor failure poses a serious challenge to robust direction-of-arrival (DOA) estimation in complicated environments. Although existing matrix completion methods can successfully recover the damaged signals of an impaired sensor array, they cannot ...
Bin Li +4 more
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Multiple Hankel matrix rank minimization for audio inpainting
2023 46th International Conference on Telecommunications and Signal Processing (TSP), 2023 Sasaki et al. (2018) presented an efficient audio declipping algorithm, based on the properties of Hankel-structure matrices constructed from time-domain signal blocks. We adapt their approach to solving the audio inpainting problem, where samples are missing in the signal.
Pavel Záviska +2 more
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Abstract and Applied Analysis, 2014 This paper investigates the Hankel norm filter design problem for stochastic time-delay systems, which are represented by Takagi-Sugeno (T-S) fuzzy model.
Yanhui Li, Xiujie Zhou
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Orthogonal diagonalization for complex skew-persymmetric anti-tridiagonal Hankel matrices
Special Matrices, 2016 In this paper, we obtain an eigenvalue decomposition for any complex skew-persymmetric anti-tridiagonal Hankel matrix where the eigenvector matrix is orthogonal.
Gutiérrez-Gutiérrez Jesús +1 more
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Hankel and Toeplitz operators: continuous and discrete representations [PDF]
Opuscula Mathematica, 2017 We find a relation guaranteeing that Hankel operators realized in the space of sequences \(\mathcal{l}^2 (\mathbb{Z}_{+})\) and in the space of functions \(L^2 (\mathbb{R}_{+})\) are unitarily equivalent.
Dmitri R. Yafaev
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