Results 41 to 50 of about 5,012,670 (186)
Properties of singular points in a special case of orthorhombic media
Геофизический журнал, 2023 The position of singular lines for orthorhombic (ORT) media with fixed diagonal elements of the elasticity matrix cij, i=1…6 is studied under the condition that c11, c22, c33>c66>c44>c55.
Yu.V. Roganov, A. Stovas, V.Yu. Roganov
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Fast singular value thresholding without singular value decomposition [PDF]
Methods and Applications of Analysis, 2013 We are interested in solving the following minimization problem Dτ (Y ) := arg min X∈Rm×n 1 2 ∥Y −X∥F + τ∥X∥∗, where Y ∈ Rm×n is a given matrix, and ∥ ⋅ ∥F is the Frobenius norm and ∥ ⋅ ∥∗ the nuclear norm. This problem serves as a basic subroutine in many popular numerical schemes for nuclear norm minimization problems, which arise from low rank ...
Cai, Jianfeng, Stanley, Osher
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Tracial and majorisation Heinz mean-type inequalities for matrices
Journal of Inequalities and Applications, 2016 The Heinz mean for every nonnegative real numbers a, b and every 0 ≤ ν ≤ 1 $0\le\nu\le1$ is H ν ( a , b ) = a ν b 1 − ν + a 1 − ν b ν 2 $H_{\nu}(a , b)=\frac{a^{\nu}b^{1-\nu} +a^{1-\nu}b^{\nu}}{2}$ .
Seyed Mahmoud Manjegani
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Projecting XRP price burst by correlation tensor spectra of transaction networks
Scientific Reports, 2023 Cryptoassets are becoming essential in the digital economy era. XRP is one of the large market cap cryptoassets. Here, we develop a novel method of correlation tensor spectra for the dynamical XRP networks, which can provide an early indication for XRP ...
Abhijit Chakraborty +2 more
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Singular Values of Trilinear Forms [PDF]
Experimental Mathematics, 2001 Let T : H 1 × H 2 × H 3 → C be a trilinear form, where H 1, H 2, H 3 are separable Hilbert spaces. In the hypothesis that at least two of the three spaces are finite dimensional we show that the norm square λ = ∥T∥2 is a root of a certain algebraic equation, usually of very high degree, which we baptize the millennia] equation, because it is an ...
Bo Bernhardsson, Jaak Peetre
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Singular random matrix decompositions: Jacobians. [PDF]
, 2002 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).
González Farías, Graciela +1 more
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Approximation numbers=singular values [PDF]
, 2007 This paper introduces a generalisation of the notion of singular value for Hilbert space operators to more general Banach spaces. It is shown that for a simple integral operator of Hardy type the singular values are the eigenvalues of a non-linear Sturm ...
Bennewitz, Christer
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Computing μ-Values for Real and Mixed μ Problems
Mathematics, 2019 In various modern linear control systems, a common practice is to make use of control in the feedback loops which act as an important tool for linear feedback systems.
Mutti-Ur Rehman +2 more
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Generalized Singular Value Thresholding
Proceedings of the AAAI Conference on Artificial Intelligence, 2015 This work studies the Generalized Singular Value Thresholding (GSVT) operator associated with a nonconvex function g defined on the singular values of X. We prove that GSVT can be obtained by performing the proximal operator of g on the singular values since Proxg(.) is monotone when g is lower bounded. If the nonconvex g satisfies some
Canyi Lu +4 more
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Block Power Method for SVD Decomposition
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 We present in this paper a new method to determine the k largest singular values and their corresponding singular vectors for real rectangular matrices A ∈ Rn×m.
Bentbib A. H., Kanber A.
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