Results 11 to 20 of about 3,062 (211)
A note on the maximization of matrix valued Hankel determinants with applications [PDF]
Journal of Computational and Applied Mathematics, 2005 In this note we consider the problem of maximizing the determinant of moment matrices of matrix measures. The maximizing matrix measure can be characterized explicitly by having equal (matrix valued) weights at the zeros of classical (one dimensional) orthogonal polynomials.
Dette, Holger, Studden, W. J.
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Foundations of system theory: The hankel matrix
Journal of Computer and System Sciences, 1980 AbstractAfter introducing the notion of “dynamical interpretation functor” to provide a general methodology for nonlinear state-space description, we define the Hankel matrix for an arbitrary adjoint system. This returns the usual definition for linear systems, but also applies to sequential machines, group machines, and bilinear machines.
Michael A. Arbib, Ernest G. Manes
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Asymmetric Truncated Hankel Operators: Rank One, Matrix Representation
Journal of Function Spaces, 2021 Asymmetric truncated Hankel operators are the natural generalization of truncated Hankel operators. In this paper, we determine all rank one operators of this class.
Firdaws Rahmani, Yufeng Lu, Ran Li
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Testing the Rank of the Hankel Matrix: A Statistical Approach [PDF]
SSRN Electronic Journal, 2001 The rank of the Hankel matrix, corresponding to a system transfer function, is equal to the order of its minimal state space realization. The computation of the rank of the Hankel matrix is complicated by the fact that its block elements are rarely given exactly but are estimated instead. In this paper, we propose new statistical tests to determine the
Camba-Méndez, Gonzalo +1 more
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Matrix representations of Toeplitz-plus-Hankel matrix inverses
Linear Algebra and its Applications, 1989 Some matrix representations for the inverses of Toeplitz-plus-Hankel \((T+H)\) matrices are given as well as for \(T+H\)-Bézoutians introduced before by the authors. This representation is given as sum of products of triangular \(T+H\)-matrices. The conditions for these inverses are determined by some columns and rows of the inverse matrix or by ...
Heinig, Georg, Rost, Karla
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Characterizations of matrix-valued asymmetric truncated Hankel operators
Banach Journal of Mathematical Analysis, 2023 In this paper we introduce the class of matrix valued asymmetric truncated Hankel operators. By using characterizations of matrix valued asymmetric truncated Toeplitz operators, we characterize matrix valued asymmetric truncated Hankel operators in the case when two involved inner matrices are J-symmetric.
Khan, Rewayat, Lee, Ji Eun
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The Lanczos algorithm and Hankel matrix factorization
Linear Algebra and its Applications, 1992 The connection between the Lanczos algorithm for matrix tridiagonalization and fast algorithms for Hankel matrix factorization is studied. For this reason the Lanczos method for nonsymmetric matrices is discussed. Most Toeplitz solvers are based on the shift invariance of a Toeplitz matrix, and the authors note that many recursion formulae (although ...
Boley, Daniel L. +2 more
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The Hankel matrix rank theorem revisited [PDF]
Linear Algebra and its Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al'pin Y.
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Exponential Signal Reconstruction With Deep Hankel Matrix Factorization [PDF]
IEEE Transactions on Neural Networks and Learning Systems, 2023 Exponential is a basic signal form, and how to fast acquire this signal is one of the fundamental problems and frontiers in signal processing. To achieve this goal, partial data may be acquired but result in the severe artifacts in its spectrum, which is the Fourier transform of exponentials. Thus, reliable spectrum reconstruction is highly expected in
Yihui Huang +5 more
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A Hankel Matrix Acting on Spaces of Analytic Functions [PDF]
Integral Equations and Operator Theory, 2017 If $μ$ is a positive Borel measure on the interval $[0, 1)$ we let $\mathcal H_μ$ be the Hankel matrix $\mathcal H_μ=(μ_{n, k})_{n,k\ge 0}$ with entries $μ_{n, k}=μ_{n+k}$, where, for $n\,=\,0, 1, 2, \dots $, $μ_n$ denotes the moment of order $n$ of $μ$. This matrix induces formally the operator $$\mathcal{H}_μ(f)(z)= \sum_{n=0}^{\infty}\left(\sum_{k=0}
Daniel Girela, Noel Merchán
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