Results 191 to 200 of about 3,062 (211)

A fast method to block-diagonalize a Hankel matrix

Numerical Algorithms, 2007
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Rank of a Hankel matrix over Z[x1,..., xr]

Applicable Algebra in Engineering, Communication and Computing, 1992
One 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), 2002
Algorithms 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., Pokala, Srikanth, Kumaresan, Ramdas   +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, 1991
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D. Mitchell Wilkes, Salvatore D. Morgera, Fazal Noor, Monson H. Hayes III   +3 more
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On Hankel Positive Definite Perturbations of Hankel Positive Definite Sequences and Interrelations to Orthogonal Matrix Polynomials

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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Random matrix based approach to quantify the effect of measurement noise on Hankel matrix

2013 American Control Conference, 2013
This paper focuses on the development of analytical methods for uncertainty quantification of the models obtained by the Eigensystem Realization Algorithm (ERA) to quantify the effect of noise in the input-output experimental data. Starting from first principles, analytical expressions are presented for the probability distribution of eigenvalues of ...
Kumar Vishwajeet, Manoranjan Majji, Puneet Singla   +2 more
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Comments on "Application of Hankel matrix to the root location problem"

IEEE Transactions on Automatic Control, 1977
It is shown that the main result (Theorem 2) in the above note is untrue. The Hankel matrix does not, in general, provide information about the location of the zeros of a polynomial.
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Hankel Matrix and Singular Value Decomposition

1990
This chapter constructs a Hankel matrix from auto-covariance matrices of time series which are used in Chapter 9 to estimate system matrices in the state space models for the data-generating processes. This chapter describes several concepts and relations needed in the later chapters.
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Influence of Hankel matrix dimension on system identification of structures using stochastic subspace algorithms

Mechanical Systems and Signal Processing, 2023
Mehran Pourgholi
exaly  

Hankel-matrix approach to invertibility of linear multivariable systems

Kybernetika, 1984
Summary: The transfer-function matrix R(s) of a linear multivariable system can be represented by the matrix fraction description \(R(s)=P(s)Q^{- 1}(s)=\tilde Q^{-1}(s)\tilde P(s)\) or by \(R(s)=\bar P(s)/q(s)\) where q(s) is the common denominator of all entries in R(s).
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