Results 11 to 20 of about 927 (80)
Canonical form of m-by-2-by-2 matrices over a field of characteristic other than two [PDF]
, 2006 We give a canonical form of m-by-2-by-2 matrices for equivalence over any field of characteristic not two.Comment: 6 ...
Belitskii +10 more
core +2 more sources
Exponential type locally generalized strictly double diagonally tensors and eigenvalue localization
, 2020 In this paper, we introduce exponential type locally generalized strictly double diagonally dominant tensors. This concept extends the concept of strictly diagonally dominant tensors.
J. Liu, L. Xiong
semanticscholar +1 more source
Some inequalities for nonnegative tensors
Journal of Inequalities and Applications, 2014 Let A be a nonnegative tensor and x=(xi)>0 its Perron vector. We give lower bounds for xtm−1/∑xi2⋯xim and upper bounds for xsm−1/∑xi2⋯xim, where xs=max1≤i≤nxi and xt=min1≤i≤nxi.MSC:15A18, 15A69, 65F15, 65F10.
Jun He, Tingzhu Huang, G. Cheng
semanticscholar +2 more sources
Bounds for the Z-eigenpair of general nonnegative tensors
Open Mathematics, 2016 In this paper, we consider the Z-eigenpair of a tensor. A lower bound and an upper bound for the Z-spectral radius of a weakly symmetric nonnegative irreducible tensor are presented.
Liu Qilong, Li Yaotang
doaj +1 more source
A criterion for detecting the identifiability of symmetric tensors of size three [PDF]
, 2012 We prove a criterion for the identifiability of symmetric tensors $P$ of type $3\times ...\times 3$, $d$ times, whose rank $k$ is bounded by $(d^2+2d)/8$. The criterion is based on the study of the Hilbert function of a set of points $P_1,..., P_k$ which
Ballico, Edoardo, Chiantini, Luca
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On Comon's and Strassen's conjectures [PDF]
, 2018 Comon's conjecture on the equality of the rank and the symmetric rank of a symmetric tensor, and Strassen's conjecture on the additivity of the rank of tensors are two of the most challenging and guiding problems in the area of tensor decomposition.
Casarotti, Alex +2 more
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Plethysm and fast matrix multiplication [PDF]
, 2018 Motivated by the symmetric version of matrix multiplication we study the plethysm $S^k(\mathfrak{sl}_n)$ of the adjoint representation $\mathfrak{sl}_n$ of the Lie group $SL_n$.
Seynnaeve, Tim
core +3 more sources
Introduction to Grassmann manifolds and quantum computation
Journal of Applied Mathematics, Volume 2, Issue 8, Page 371-405, 2002., 2002 Geometrical aspects of quantum computing are reviewed elementarily for nonexperts and/or graduate students who are interested in both geometry and quantum computation. We show how to treat Grassmann manifolds which are very important examples of manifolds in mathematics and physics.
Kazuyuki Fujii
wiley +1 more source
α‐Derivations and their norm in projective tensor products of Γ‐Banach algebras
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 359-368, 1998., 1996 Let (V, Γ) and (V′, Γ′) be Gamma‐Banach algebras over the fields F1 and F2 isomorphic to a field F which possesses a real valued valuation, and (V, Γ)⊗p(V′, Γ′), their projective tensor product. It is shown that if D1 and D2 are α ‐ derivation and α′ ‐ derivation on (V, Γ) and (V′, Γ′) respectively and , is an arbitrary element of (V, Γ)⊗p(V′, Γ ...
T. K. Dutta, H. K. Nath, R. C. Kalita
wiley +1 more source
A binary encoding of spinors and applications
Complex Manifolds, 2020 We present a binary code for spinors and Clifford multiplication using non-negative integers and their binary expressions, which can be easily implemented in computer programs for explicit calculations.
Arizmendi Gerardo, Herrera Rafael
doaj +1 more source