Results 21 to 30 of about 1,581,020 (197)
Analytical solutions to some generalized and polynomial eigenvalue problems
Special Matrices, 2021 It is well-known that the finite difference discretization of the Laplacian eigenvalue problem −Δu = λu leads to a matrix eigenvalue problem (EVP) Ax =λx where the matrix A is Toeplitz-plus-Hankel.
Deng Quanling
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Simultaneous reconstruction and denoising for DAS-VSP seismic data by RRU-net
Frontiers in Earth Science, 2023 Distributed acoustic sensing in vertical seismic profile (DAS-VSP) acquisition plays an important role in reservoir monitoring. But the field data can be noisy and associated with missing traces which affects the seismic imaging and geological ...
Huanhuan Tang +3 more
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IET Signal Processing, 2021 The nuclear magnetic resonance (NMR) spectroscopy has fruitful applications in chemistry, biology and life sciences, but suffers from long acquisition time.
Zhangren Tu +7 more
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IEEE Transactions on Quantum Engineering, 2023 The structured matrix completion problem (SMCP) is ubiquitous in several signal processing applications. In this article, we consider a fixed pattern, namely, the Hankel-structure for the SMCP under quantum formalism. By exploiting its structure, a lower-
Mostafizur Rahaman Laskar +1 more
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Toeplitz versus Hankel: semibounded operators [PDF]
Opuscula Mathematica, 2018 Our goal is to compare various results for Toeplitz \(T\) and Hankel \(H\) operators. We consider semibounded operators and find necessary and sufficient conditions for their quadratic forms to be closable. This property allows one to define \(T\) and \(
Dmitri R. Yafaev
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Companion matrices and their relations to Toeplitz and Hankel matrices
Special Matrices, 2015 In this paper we describe some properties of companion matrices and demonstrate some special patterns that arisewhen a Toeplitz or a Hankel matrix is multiplied by a related companion matrix.We present a necessary and sufficient condition, generalizing ...
Luo Yousong, Hill Robin
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Buildings, 2022 With the advantage of non-contact measurement, ground-based synthetic aperture radar (GB-SAR) has been widely used to obtain the dynamic deflection of various bridges.
Xianglei Liu +4 more
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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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Electronics Letters, 1991 A new property of Hankel matrix is presented which can be used to compute the characteristic polynomial of the system from the measurements of its impulse-response data. The property is also illustrated by a numerical example.
V. Sreeram, A.Y. Zomaya
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Sensors, 2021 Signal denoising is one of the most important issues in signal processing, and various techniques have been proposed to address this issue. A combined method involving wavelet decomposition and multiscale principal component analysis (MSPCA) has been ...
Kang Peng, Hongyang Guo, Xueyi Shang
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