Results 31 to 40 of about 107,644 (266)
Singularity, Wielandt’s lemma and singular values
Journal of Computational and Applied Mathematics, 2010 The authors obtain some upper and lower bounds for the largest and the smallest singular values of certain complex matrices based on the entries and diagonal dominance. A relationship between largest singular value of a block matrix and its block norm matrix is obtained. Numerical examples are given to demonstrate the usefulness of their results.
Hou-Biao Li +3 more
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Determinantal inequalities of Hua-Marcus-Zhang type for quaternion matrices
Open Mathematics, 2021 In this paper, the authors extend determinantal inequalities of the Hua-Marcus-Zhang type for positive definite matrices to the corresponding ones for quaternion matrices.
Hong Yan, Qi Feng
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The singular values of the GOE
Random Matrices: Theory and Applications, 2015 As a unifying framework for examining several properties that nominally involve eigenvalues, we present a particular structure of the singular values of the Gaussian orthogonal ensemble (GOE): the even-location singular values are distributed as the positive eigenvalues of a Gaussian ensemble with chiral unitary symmetry, while the odd-location ...
Bornemann, Folkmar, La Croix, Michael
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Bound for the largest singular value of nonnegative rectangular tensors
Open Mathematics, 2016 In this paper, we give a new bound for the largest singular value of nonnegative rectangular tensors when m = n, which is tighter than the bound provided by Yang and Yang in “Singular values of nonnegative rectangular tensors”, Front. Math.
He Jun +4 more
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An S-type singular value inclusion set for rectangular tensors
Journal of Inequalities and Applications, 2017 An S-type singular value inclusion set for rectangular tensors is given. Based on the set, new upper and lower bounds for the largest singular value of nonnegative rectangular tensors are obtained and proved to be sharper than some existing results ...
Caili Sang
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Schur Complement-Based Infinity Norm Bounds for the Inverse of GDSDD Matrices
Mathematics, 2022 Based on the Schur complement, some upper bounds for the infinity norm of the inverse of generalized doubly strictly diagonally dominant matrices are obtained. In addition, it is shown that the new bound improves the previous bounds.
Yating Li, Yaqiang Wang
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A basis of common approach to the development of universal steganalysis methods for digital images
Trudy Odesskogo Politehničeskogo Universiteta, 2014 In this paper a new common approach to the organization of steganalysis in digital images is developed. New features of formal parameters defining the image are identified, theoretically grounded and practically tested. For the first time characteristics
Alla А. Kobozeva
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New inclusion sets for singular values
Journal of Inequalities and Applications, 2017 In this paper, for a given matrix A = ( a i j ) ∈ C n × n $A=(a_{ij}) \in\mathbb{C}^{n\times n}$ , in terms of r i $r_{i}$ and c i $c_{i}$ , where r i = ∑ j = 1 , j ≠ i n | a i j | $r_{i} = \sum _{j = 1,j \ne i}^{n} {\vert {a_{ij} } \vert }$ , c i = ∑ j =
Jun He +3 more
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On a Matrix Inequality Related to the Distillability Problem
Entropy, 2018 We investigate the distillability problem in quantum information in ℂ d ⊗ ℂ d . One case of the problem has been reduced to proving a matrix inequality when d = 4 .
Yi Shen, Lin Chen
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Singular value decomposition in AHP
European Journal of Operational Research, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saul I. Gass, Tamás Rapcsák
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