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Comments on "Application of Hankel matrix to the root location problem"
IEEE Transactions on Automatic Control, 1977It 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 approach to invertibility of linear multivariable systems
Kybernetika, 1984Summary: 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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Structured Gradient Descent for Fast Robust Low-Rank Hankel Matrix Completion
SIAM Journal of Scientific Computing, 2023Hanqin Cai, Juntao You, Cai Jian-Feng
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Model order determination using the Hankel matrix of impulse responses
Applied Mathematics Letters, 2011Feng Ding
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The core invertibility of a companion matrix and a Hankel matrix
Linear and Multilinear Algebra, 2020Tingting Li
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Annihilating Filter-Based Low-Rank Hankel Matrix Approach for Image Inpainting
IEEE Transactions on Image Processing, 2015Kyong Hwan Jin, Jong Chul Ye
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Hankel Matrix Rank Minimization with Applications to System Identification and Realization
SIAM Journal on Matrix Analysis and Applications, 2013Ting Kei Pong +2 more
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Discrete fractional Hankel transform based on a nonsymmetric kernel matrix
2022Magdy Tawfik Hanna
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