Results 21 to 30 of about 940 (106)
Two new eigenvalue localization sets for tensors and theirs applications
Open Mathematics, 2017 A new eigenvalue localization set for tensors is given and proved to be tighter than those presented by Qi (J. Symbolic Comput., 2005, 40, 1302-1324) and Li et al. (Numer. Linear Algebra Appl., 2014, 21, 39-50).
Zhao Jianxing, Sang Caili
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Some inequalities on the spectral radius of nonnegative tensors
Open Mathematics, 2020 The eigenvalues and the spectral radius of nonnegative tensors have been extensively studied in recent years. In this paper, we investigate the analytic properties of nonnegative tensors and give some inequalities on the spectral radius.
Ma Chao +3 more
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Higher rank numerical hulls of matrices and matrix polynomials
, 2015 In this paper, some properties of the higher rank numerical hulls, as a generalization of higher rank numerical ranges and polynomial numerical hulls, of matrices are investigated.
G. Aghamollaei, Sharifeh Rezagholi
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An S-type upper bound for the largest singular value of nonnegative rectangular tensors
Open Mathematics, 2016 An S-type upper bound for the largest singular value of a nonnegative rectangular tensor is given by breaking N = {1, 2, … n} into disjoint subsets S and its complement. It is shown that the new upper bound is smaller than that provided by Yang and Yang (
Zhao Jianxing, Sang Caili
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Notes and counterexamples on positive (semi) definite properties of some matrix products
Ain Shams Engineering Journal, 2018 In the present paper, we give some notes and counterexamples to show that the positive (semi) definite property of the Khatri-Rao and Tracy-Singh products of partitioned matrices are in general incorrect and show also that the matrix triangle inequality ...
Zeyad Al-Zhour
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On the average condition number of tensor rank decompositions
, 2019 We compute the expected value of powers of the geometric condition number of random tensor rank decompositions. It is shown in particular that the expected value of the condition number of $n_1\times n_2 \times 2$ tensors with a random rank-$r ...
Breiding, Paul, Vannieuwenhoven, Nick
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On decomposition problems on manifolds with a special differential operators
, 2013 This paper deals with the properties of a special differential operator with respect to the general decomposition of tensor fields on manifolds with affine connection.
M. Jukl, L. Juklová
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New bounds for the minimum eigenvalue of 𝓜-tensors
Open Mathematics, 2017 A new lower bound and a new upper bound for the minimum eigenvalue of an 𝓜-tensor are obtained. It is proved that the new lower and upper bounds improve the corresponding bounds provided by He and Huang (J. Inequal.
Zhao Jianxing, Sang Caili
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One-site density matrix renormalization group and alternating minimum energy algorithm
, 2013 Given in the title are two algorithms to compute the extreme eigenstate of a high-dimensional Hermitian matrix using the tensor train (TT) / matrix product states (MPS) representation.
E. Jeckelmann +7 more
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Characterization generalized derivations of tensor products of nonassociative algebras
Demonstratio MathematicaConsider A{\mathcal{A}} and ℬ{\mathcal{ {\mathcal B} }} to be nonassociative unital algebras. Under the assumption that either one of them has finite dimensions or that both are finite dimensions, a generalized derivation is an additive map ℱ:A→A ...
Aboubakr Ahmed
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