Results 1 to 10 of about 55,051 (186)
arXiv.org, 2022 In a series of recent papers the spectral behavior of the matrix sequence $\{Y_nT_n(f)\}$ is studied in the sense of the spectral distribution, where $Y_n$ is the main antidiagonal (or flip matrix) and $T_n(f)$ is the Toeplitz matrix generated by the function $f$, with $f$ being Lebesgue integrable and with real Fourier coefficients. This kind of study
Barbarino, Giovanni +3 more
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On eigenvalues, eigenvectors and singular values in robust stability analysis† [PDF]
International Journal of Control, 1984 Abstract Recent papers have examined the problem of robustness of the stability of multi-variable feedback systems to perturbations ΔG in matrix form. Attention has been primarily focused on the use of the maximal singular value δ ( ΔG). This paper considers how structured information on the uncertainty in each element Δ δ (9) con be used in a similar ...
D. H. OWENS, A. CHOTAI
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Accurate ordering of eigenvectors and singular vectors without eigenvalues and singular values
Linear Algebra and its Applications, 2003 The author identifies a structural property of an eigenvector of a symmetric tridiagonal matrix which can be used to rank and ordering eigenvectors without knowing the eigenvalues. This is extended to singular vectors of bidiagonal matrices. These procedures do not require floating-point operations and hence are immune from round-off errors.
K. V. Fernando
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Hybrid Precoding for Massive mmWave MIMO Systems
IEEE Access, 2019 Due to high costs and power consumptions, fully digital baseband precoding schemes are usually prohibitive in millimeter-wave massive MIMO systems. Therefore, hybrid precoding strategies become promising solutions.
Xianru Liu +6 more
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Missing value imputation in a data matrix using the regularised singular value decomposition
MethodsX, 2023 Some statistical analysis techniques may require complete data matrices, but a frequent problem in the construction of databases is the incomplete collection of information for different reasons. One option to tackle the problem is to estimate and impute
Sergio Arciniegas-Alarcón +3 more
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Localization of eigenvectors of nonhermitian banded noisy Toeplitz matrices [PDF]
Probability and Mathematical Physics, 2021 We prove localization with high probability on sets of size of order $N/\log N$ for the eigenvectors of non-Hermitian finitely banded $N\times N$ Toeplitz matrices $P_N$ subject to small random perturbations, in a very general setting. As perturbation we
Anirban Basak, Martin Vogel, O. Zeitouni
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Singular values and eigenvalues of tensors: a variational approach [PDF]
IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, 2005 We propose a theory of eigenvalues, eigenvectors, singular values, and singular vectors for tensors based on a constrained variational approach much like the Rayleigh quotient for symmetric matrix eigenvalues.
Lek-Heng Lim
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A Sliding Windows Singular Decomposition Model of Monitoring Data for Operational Tunnels
Symmetry, 2022 In order to extract the valuable information from massive and usually unstructured datasets, increasingly, a novel nonparametric approach is proposed for detecting early signs of structural deterioration in civil infrastructure systems from vast field ...
R. Xing +5 more
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Spectral Methods for Data Science: A Statistical Perspective [PDF]
Found. Trends Mach. Learn., 2020 Spectral methods have emerged as a simple yet surprisingly effective approach for extracting information from massive, noisy and incomplete data. In a nutshell, spectral methods refer to a collection of algorithms built upon the eigenvalues (resp ...
Yuxin Chen +3 more
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Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices [PDF]
, 2009 A Toeplitz matrix is one in which the matrix elements are constant along diagonals. The Fisher–Hartwig matrices are much-studied singular matrices in the Toeplitz family. The matrices are defined for all orders, N. They are parameterized by two constants,
Hui Dai, Zachary Geary, L. Kadanoff
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