A Note on Inclusion Intervals of Matrix Singular Values
Journal of Applied Mathematics, 2012 We establish an inclusion relation between two known inclusion intervals of matrix singular values in some special case. In addition, based on the use of positive scale vectors, a known inclusion interval of matrix singular values is also improved.
Shu-Yu Cui, Gui-Xian Tian
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On singular values of large dimensional lag-τ sample auto-correlation matrices. [PDF]
J Multivar Anal, 2023 Long Z, Li Z, Lin R, Qiu J.
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OutSingle: a novel method of detecting and injecting outliers in RNA-Seq count data using the optimal hard threshold for singular values. [PDF]
Bioinformatics, 2023 Salkovic E +4 more
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Noise Mapping and Removal in Complex-Valued Multi-Channel MRI via Optimal Shrinkage of Singular Values. [PDF]
Med Image Comput Comput Assist Interv, 2021 Minh Huynh K +5 more
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SINGULAR RANDOM MATRIX DECOMPOSITIONS: DISTRIBUTIONS. [PDF]
Assuming that Y has a singular matrix variate elliptically contoured distribution with respect to the Hausdorff measure, the distributions of several matrices associated to QR, modified QR, SV and Polar decompositions of matrix Y are determined, for ...
Graciela González-Farías +1 more
core
On the singular values decoupling in the Singular Spectrum Analysis of volcanic tremor at Stromboli [PDF]
Natural Hazards and Earth System Sciences, 2006 The well known strombolian activity at Stromboli volcano is occasionally interrupted by rarer episodes of paroxysmal activity which can lead to considerable hazard for Stromboli inhabitants and tourists. On 5 April 2003 a powerful explosion, which can be
R. Carniel +3 more
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Perturbation bounds for eigenvalues of diagonalizable matrices and singular values
Journal of Inequalities and Applications, 2016 Perturbation bounds for eigenvalues of diagonalizable matrices are derived. Perturbation bounds for singular values of arbitrary matrices are also given. We generalize some existing results.
Duanmei Zhou +3 more
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SINGULAR RANDOM MATRIX DECOMPOSITIONS: JACOBIANS. [PDF]
For a singular random matrix Y, we find the Jacobians associated with the following decompositions; QR, Polar, Singular Value (SVD), L´U, L´DM and modified QR (QDR).
Graciela González-Farías +1 more
core
svt: Singular Value Thresholding in MATLAB
Journal of Statistical Software, 2017 Many statistical learning methods such as matrix completion, matrix regression, and multiple response regression estimate a matrix of parameters. The nuclear norm regularization is frequently employed to achieve shrinkage and low rank solutions.
Cai Li, Hua Zhou
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Modified Differential Transform Method for Two Singular Boundary Values Problems
Journal of Applied Mathematics, 2014 This paper deals with the two singular boundary values problems of second order. Two singular points are both boundary values points of the differential equation.
Yinwei Lin +2 more
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