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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.
Fernando, K.V.
exaly +3 more sources
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
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Missing value imputation in a data matrix using the regularised singular value decomposition [PDF]
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
doaj +3 more sources
On Eigenvalues, Eigenvectors and Singular Values in Robust Stability Analysis [PDF]
, 1983 Recent papers have examined the problem of robustness of the stability of multivariable feedback systems to perturbations G in matrix form. Attention has been primarily focused on the use of the maximal singular value (G). This paper considers how structured information on the uncertainty in each element ij (s) can be used in a similar way based on ...
Owens, D.H., Chotai, A.
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, 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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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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IEEE AccessIt is necessary to identify the parameters for an equivalent circuit model of Li-ion batteries and understand their degradation conditions in electric vehicles and consumer electronic devices.
Takeshi Inoue, Daiki Komatsu
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Progress of Theoretical and Experimental Physics, 2023 Abstract As in random matrix theories, eigenvector/value distributions are important quantities of random tensors in their applications. Recently, real eigenvector/value distributions of Gaussian random tensors have been explicitly computed by expressing them as partition functions of quantum field theories with quartic interactions.
openaire
FastPCA: An R package for fast singular value decomposition. [PDF]
J Open Source SoftwWard KR +5 more
europepmc +1 more source
A Superintegrable Quantum Field Theory. [PDF]
Commun Math PhysDe Clerck M, Evnin O.
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