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Generalized Bezoutians and block Hankel matrices
Linear Algebra and its Applications, 1989 Let W(z) be a rational matrix, \(W(\infty)=0,\) \(W(z)=\sum_{i>0}W_ iz^{-i}.\) Let F(z) be \(p\times p\)-, D(z) \(q\times q\)-, G and U \(p\times q\)-polynomial matrices, F and D nonsingular, and let \(F^{-1}G=UD^{- 1}=W\). The Bézoutian \(B=B(F,G;U,D)\) is the rp\(\times sq\) matrix B whose \(p\times q\) block \(B_{ij}\) is defined by \((F(z)U(y)-G(z ...
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Irreducible Toeplitz and Hankel matrices
The Electronic Journal of Linear Algebra, 2006 An infinite matrix is called irreducible if its directed graph is strongly connected.It is proved that an infinite Toeplitz matrix is irreducible if and only if almost every finite leadingsubmatrix is irreducible. An infinite Hankel matrix may be irreducible even if all its finite leadingsubmatrices are reducible.
Karl Foerster, Bela Nagy
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Hankel matrices for system identification
Journal of Mathematical Analysis and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mu, Bi-Qiang, Chen, Han-Fu
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Spectral theory of selfadjoint Hankel matrices.
Michigan Mathematical Journal, 1986 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Inversion des matrices de Hankel
Linear Algebra and its Applications, 1990 AbstractHankel determinants can be viewed as special Schur symmetric functions. This provides, without computations of determinants or matrices, most of the algebra of Hankel determinants and explains their links with other classical fields.
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Toeplitz matrices and invertibility of Hankel matrices [PDF]
Pacific Journal of Mathematics, 1964 openaire +2 more sources
Space-time POD and the Hankel matrix. [PDF]
PLoS One, 2023 Frame P, Towne A.
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Computations on Some Hankel Matrices
, 2009 In this note, we present the determinant, the inverse and a lower bound for the smallest eigenvalue for some Hankel ...
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A novel Hankel norm approximation-based AGC for a hydro-dominated power system. [PDF]
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