Results 51 to 60 of about 26,670 (208)
Orthogonal diagonalization for complex skew-persymmetric anti-tridiagonal Hankel matrices
Special Matrices, 2016 In this paper, we obtain an eigenvalue decomposition for any complex skew-persymmetric anti-tridiagonal Hankel matrix where the eigenvector matrix is orthogonal.
Gutiérrez-Gutiérrez Jesús +1 more
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Super-optimal approximation by meromorphic functions. [PDF]
, 1996 Let G be a matrix function of type m × n and suppose that G is expressible as the sum of an H∞ function and a continuous function on the unit circle. Suppose also that the (k – 1)th singular value of the Hankel operator with symbol G is greater than the ...
Peller, V. V., Young, N. J.
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On the solvability of the indefinite Hamburger moment problem
AIMS Mathematics, 2023 In this paper, we present a new approach for the solvability of the indefinite Hamburger moment problem in the class of generalized Nevanlinna functions with a given negative index, which is more algebraic and completely different from the existing ...
Yongjian Hu, Huifeng Hao , Xuzhou Zhan
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Computation- and Space-Efficient Implementation of SSA [PDF]
, 2010 The computational complexity of different steps of the basic SSA is discussed. It is shown that the use of the general-purpose "blackbox" routines (e.g.
Korobeynikov, Anton
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Journal of Marine Science and Engineering, 2021 This paper focuses on the formulation of state–space representations of radiation forces for marine structures using Hankel Singular Value Decomposition (HSVD), a method used to obtain a state–space realization from a Hankel matrix, with the classical ...
Romain Lecuyer-Le Bris +3 more
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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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Abstract and Applied Analysis, 2014 This paper investigates the Hankel norm filter design problem for stochastic time-delay systems, which are represented by Takagi-Sugeno (T-S) fuzzy model.
Yanhui Li, Xiujie Zhou
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Hankel and Toeplitz operators: continuous and discrete representations [PDF]
Opuscula Mathematica, 2017 We find a relation guaranteeing that Hankel operators realized in the space of sequences \(\mathcal{l}^2 (\mathbb{Z}_{+})\) and in the space of functions \(L^2 (\mathbb{R}_{+})\) are unitarily equivalent.
Dmitri R. Yafaev
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On sufficient conditions for the total positivity and for the multiple positivity of matrices [PDF]
, 2005 The following theorem is proved: Suppose $M = (a_{i,j})$ be a $k \times k$ matrix with positive entries and $a_{i,j}a_{i+1,j+1} > 4\cos ^2 \frac{\pi}{k+1} a_{i,j+1}a_{i+1,j} \quad (1 \leq i \leq k-1, 1 \leq j \leq k-1).$ Then $\det M > 0 .$ The ...
Katkova, Olga M., Vishnyakova, Anna M.
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Special Matrices, 2020 In this paper, our main attention is paid to calculate the determinants and inverses of two types Toeplitz and Hankel tridiagonal matrices with perturbed columns.
Fu Yaru +3 more
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