Results 1 to 10 of about 54,437 (153)
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.
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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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, 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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Eigenvectors of random matrices: A survey [PDF]
, 2016 Eigenvectors of large matrices (and graphs) play an essential role in combinatorics and theoretical computer science. The goal of this survey is to provide an up-to-date account on properties of eigenvectors when the matrix (or graph) is random.Comment ...
O'Rourke, Sean, Vu, Van, Wang, Ke
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An efficient Fredholm method for calculation of highly excited states of billiards [PDF]
, 2007 A numerically efficient Fredholm formulation of the billiard problem is presented. The standard solution in the framework of the boundary integral method in terms of a search for roots of a secular determinant is reviewed first.
Abramovitz M +21 more
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, 2012 With the overwhelming amount of textual information available in electronic formats on the web, there is a need for an efficient text summarizer capable of condensing large bodies of text into shorter versions while keeping the relevant information ...
Kim, Youn S.
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Products, coproducts and singular value decomposition
, 2004 Products and coproducts may be recognized as morphisms in a monoidal tensor category of vector spaces. To gain invariant data of these morphisms, we can use singular value decomposition which attaches singular values, ie generalized eigenvalues, to these
B. Fauser +13 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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