Results 11 to 20 of about 940 (106)
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
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
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
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
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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 note on the three-way generalization of the Jordan canonical form
Open Mathematics, 2018 The limit point 𝓧 of an approximating rank-R sequence of a tensor Ƶ can be obtained by fitting a decomposition (S, T, U) ⋅ 𝓖 to Ƶ. The decomposition of the limit point 𝓧 = (S, T, U) ⋅ 𝓖 with 𝓖 = blockdiag(𝓖1, … , 𝓖m) can be seen as a three order ...
Cui Lu-Bin, Li Ming-Hui
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A concise proof to the spectral and nuclear norm bounds through tensor partitions
Open Mathematics, 2019 On estimations of the lower and upper bounds for the spectral and nuclear norm of a tensor, Li established neat bounds for the two norms based on regular tensor partitions, and proposed a conjecture for the same bounds to be hold based on general tensor ...
Kong Xu
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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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