Results 181 to 190 of about 3,062 (211)
Model order determination using the Hankel matrix of impulse responses
Applied Mathematics Letters, 2011 This letter studies identification problems of model orders using the Hankel matrix of impulse responses of a system and presents two order identification methods: one is based on the singularities or ratios of the Hankel matrix determinants and the ...
Feng Ding
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Structured Gradient Descent for Fast Robust Low-Rank Hankel Matrix Completion
SIAM Journal of Scientific Computing, 2023 We study the robust matrix completion problem for the low-rank Hankel matrix, which detects the sparse corruptions caused by extreme outliers while we try to recover the original Hankel matrix from partial observation.
Hanqin Cai, Jian-Feng Cai, Juntao You
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System Approximation via Restructured Hankel Matrix
Circuits, Systems, and Signal Processing, 2021This paper presents a modified minimal realization technique to reduce single input single output (SISO) systems from higher-order SISO systems. The reduction process is based on restructuring the Hankel matrix, which consists of two major elements, i.e., Time Moments and Markov parameters.
Ramveer Singh Sengar +2 more
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A Hankel matrix acting on Fock spaces
Journal of Nonlinear and Variational Analysis, 2023Summary: Let \(\nu\) be a positive Borel measure on the interval \([0,\infty)\). Let \(\mathcal{H}_\nu=(\nu_{n,k})_{n,k\geq 0}\) be the Hankel matrix with entries \(\nu_{n,k}=\int_{[0,\infty)}\frac{ t^{n+k}}{n!}\,d\nu(t)\). The matrix \(\mathcal{H}_\nu\) induces formally the operator \(\mathcal{H}_\nu(f)(z)=\sum_{n=0}^{\infty}(\sum_{k=0}^{\infty}\nu_{n,
Zhuo, Zhengyuan +3 more
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The core invertibility of a companion matrix and a Hankel matrix
Linear and Multilinear Algebra, 2018ABSTRACTIn this paper, we show that the lower companion matrix associated with the monic polynomial over a ring with unity is core invertible if and only if there exist solutions x and y to (i) , (ii) , (iii) , (iv) In addition, some methods of characterizing and computing the core inverse of a Hankel matrix and a Toeplitz matrix over a field are ...
Tingting Li, Jianlong Chen
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The Hankel Matrix Solution to a System of Quaternion Matrix Equations
2020 Chinese Control And Decision Conference (CCDC), 2020The solution of matrix equations and the optimal approximation problem play an important role in linear optimal control, parameter identification, structural vibration, aviation and other fields. Hankel matrix is kind of matrix with special structure and wide application. In this paper, the problem of Hankel constraint solution to the system [AXB CXD]=[
Yun Wang +3 more
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Complex Analysis and Operator Theory, 2010
The authors study several classes of finite sequences of complex \(q\times q\) matrices, in connection with two matricial versions of the truncated Hamburger moment problem. Specifically, these classes of finite sequences of matrices are related to the following matrix versions of the truncated moment problem:{\parindent=8mm \begin{itemize}\item[(i ...
Fritzsche, Bernd +2 more
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The authors study several classes of finite sequences of complex \(q\times q\) matrices, in connection with two matricial versions of the truncated Hamburger moment problem. Specifically, these classes of finite sequences of matrices are related to the following matrix versions of the truncated moment problem:{\parindent=8mm \begin{itemize}\item[(i ...
Fritzsche, Bernd +2 more
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Hybrid Methods for Approximating Hankel Matrix
Numerical Algorithms, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exponential Decomposition and Hankel Matrix
2002Abstract We consider an important problem in mathematical modeling. Exponential decomposition. Given a finite sequence of signal values We usually solve the above problem in three steps. First, determine the rank r of the signal sequence. Second, find the knots z;.
Franklin T Luk +2 more
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Hankel matrix-based denoising for statistical damage diagnosis
2022ISBN:978-84-09-44336 ...
Gres, Szymon +3 more
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