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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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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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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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Signal denoising using Hankel matrix rank reduction
Proceedings of the Twenty-First National Radio Science Conference, 2004. NRSC 2004., 2004In this paper, signal denoising is achieved through a procedure consisting of rank reduction of the signal's Hankel matrix, then Hankel matrix restoration and finally projecting the enhanced signal on an optimally chosen signal space to get rid of the orthogonal noise components.
M.F. Fahmy, Y.M.Y. Hasan
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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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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;.
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