Results 1 to 10 of about 1,601 (125)

An S-type singular value inclusion set for rectangular tensors [PDF]

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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V-singular values of rectangular tensors and their applications [PDF]

Journal of Inequalities and Applications, 2019
The positive definiteness of rectangular tensors has wide applications in solid mechanics and quantum physics. By modifying the existing definition of singular value for rectangular tensors, some V-singular value inclusion sets for rectangular tensors ...
Jun He, Yanmin Liu, Guangjun Xu, Gang Liu   +3 more
doaj   +5 more sources

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, Liu Yan-Min, Ke Hua, Tian Jun-Kang, Li Xiang   +4 more
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A new S-type upper bound for the largest singular value of nonnegative rectangular tensors [PDF]

Journal of Inequalities and Applications, 2017
By breaking N = { 1 , 2 , … , n } $N=\{1,2,\ldots,n\}$ into disjoint subsets S and its complement, a new S-type upper bound for the largest singular value of nonnegative rectangular tensors is given and proved to be better than some existing ones ...
Jianxing Zhao, Caili Sang
doaj   +2 more sources

An S-type upper bound for the largest singular value of nonnegative rectangular tensors [PDF]

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
doaj   +4 more sources

Improved singular value inclusion sets for rectangular tensors

Journal of Inequalities and Applications
In this paper, improved singular value inclusion sets for rectangular tensors are given, which are tighter than those in (Zhao and Li in Linear Multilinear Algebra 66(7):1333–1350, 2018).
Jun He, Yanmin Liu
doaj   +2 more sources

Structured Rectangular Tensors and Rectangular Tensor Complementarity Problems [PDF]

Mathematical Problems in Engineering, 2020
In this paper, some properties of structured rectangular tensors are presented, and the relationship among these structured rectangular tensors is also given. It is shown that all the V-singular values of rectangular P-tensors are positive. Some necessary and/or sufficient conditions for a rectangular tensor to be a rectangular P-tensor are also ...
Qingyu Zeng, Jun He, Yanmin Liu
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N‌O‌N‌L‌I‌N‌E‌A‌R F‌I‌N‌I‌T‌E E‌L‌E‌M‌E‌N‌T A‌N‌A‌L‌Y‌S‌I‌S O‌F S‌K‌I‌N G‌R‌O‌W‌T‌H U‌S‌I‌N‌G H‌Y‌P‌E‌R‌E‌L‌A‌S‌T‌I‌C M‌E‌M‌B‌R‌A‌N‌E M‌O‌D‌E‌ [PDF]

مهندسی مکانیک شریف, 2022
The aim of this paper is the formulation and numerical simulation of the growth phenomenon in skin under mechanical loading. The main feature and the novelty of the present research is that it models the skin as a membrane that obeys the constitutive ...
N. Firouzi, F. Dadgar-Rad, S.R. Falahatgar   +2 more
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The effect of added point masses on the geometrically non-linear vibrations of SCSC rectangular plates

Diagnostyka, 2022
A point mass added to a plate may have a significant effect on its linear and nonlinear dynamics, including frequencies, mode shapes and the forced response to external loading.
Mustapha Hamdani, Mounia El Kadiri, Rhali Benamar   +2 more
doaj   +1 more source

Fundamental Invariants of Tensors, Latin Hypercubes, and Rectangular Kronecker Coefficients

International Mathematics Research Notices, 2022
Abstract We study polynomial SL-invariants of tensors, mainly focusing on fundamental invariants that are of smallest degrees. In particular, we prove that certain 3-dimensional analogue of the Alon–Tarsi conjecture on Latin cubes considered previously by Bürgisser and Ikenmeyer implies positivity of (generalized) Kronecker coefficients ...
Amanov, Alimzhan, Yeliussizov, Damir
openaire   +2 more sources