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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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A fast method to block-diagonalize a Hankel matrix
Numerical Algorithms, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Rank of a Hankel matrix over Z[x1,..., xr]
Applicable Algebra in Engineering, Communication and Computing, 1992One of the main problems in the treatment of rational functions consists in representing them suitably for the purpose of their symbolic and algebraic manipulation. One can approach this problem by means of Hankel matrices if an efficient method for computing ranks is available.
J. Rafael Sendra, Juan Llovet
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Toeplitz and Hankel matrix approximation using structured approach
Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181), 2002Algorithms are presented for least-squares approximation of Toeplitz and Hankel matrices from noise corrupted or ill-composed matrices, which may not have correct structural or rank properties. Utilizing Caratheodery theorem on complex number representation to model the Toeplitz and Hankel matrices, it is shown that these matrices possess specific row ...
Shaw, Arnab K. +2 more
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A Hermitian Toeplitz matrix is unitarily similar to a real Toeplitz-plus-Hankel matrix
IEEE Transactions on Signal Processing, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. Mitchell Wilkes +3 more
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Complex Analysis and Operator Theory, 2014
The authors study how orthogonal matrix polynomials and related second kind polynomials which correspond to sequences generated by right(left)-sided \(\alpha\)-shifting [\textit{B. Fritzsche} et al., Linear Algebra Appl. 439, No. 12, 3893--3933 (2013; Zbl 1283.44003)] or by ``two-sided'' \(a-b\)-shifting are connected with polynomials generated by the ...
Rivero, Abdon E. Choque, Mädler, Conrad
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The authors study how orthogonal matrix polynomials and related second kind polynomials which correspond to sequences generated by right(left)-sided \(\alpha\)-shifting [\textit{B. Fritzsche} et al., Linear Algebra Appl. 439, No. 12, 3893--3933 (2013; Zbl 1283.44003)] or by ``two-sided'' \(a-b\)-shifting are connected with polynomials generated by the ...
Rivero, Abdon E. Choque, Mädler, Conrad
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