Results 21 to 30 of about 850 (64)

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, H. Munthe-Kaas, I.V. Oseledets, M. Fannes, S.R. White, S.V. Dolgov, T. Rohwedder, U. Schollwöck   +7 more
core   +1 more source

Characterization generalized derivations of tensor products of nonassociative algebras

Demonstratio Mathematica
Consider 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
doaj   +1 more source

Maximizing spectral radii of uniform hypergraphs with few edges

, 2015
In this paper we investigate the hypergraphs whose spectral radii attain the maximum among all uniform hypergraphs with given number of edges. In particular we characterize the hypergraph(s) with maximum spectral radius over all unicyclic hypergraphs ...
Fan, Yi-Zheng, Liu, An-Hong, Peng, Xi-Xi, Tan, Ying-Ying   +3 more
core   +1 more source

Matrix stretching

Open Mathematics
We consider the tensor products of square matrices of different sizes and introduce the stretching maps, which can be viewed as a generalized matricization.
Futorny Vyacheslav, Neklyudov Mikhail, Zhao Kaiming   +2 more
doaj   +1 more source

Note on a Differential-Geometrical Construction of Optimal Directions in Linearly-Constrained Systems [PDF]

, 2010
This note presents an analytic construction of the optimal unit-norm direction hat(x) = x/|x| that maximizes or minimizes the objective linear expression, B . hat(x), subject to a system of linear constraints of the form [A] .
Ellis, John, Lee, Jae Sik, Pilaftsis, Apostolos   +2 more
core  

The quantum group of a preregular multilinear form

, 2012
We describe the universal quantum group preserving a preregular multilinear form, by means of an explicit finite presentation of the corresponding Hopf algebra.Comment: 17 pages - Ref.
Bichon, Julien, Dubois-Violette, Michel
core   +3 more sources

On an argument of J.--F. Cardoso dealing with perturbations of joint diagonalizers

, 2012
B. Afsari has recently proposed a new approach to the matrix joint diagonalization, introduced by J.--F. Cardoso in 1994, in order to investigate the independent component analysis and the blind signal processing in a wider prospective.
Russo, Francesco G.
core   +1 more source

Conservative algebras of $2$-dimensional algebras, II

, 2015
In 1990 Kantor defined the conservative algebra $W(n)$ of all algebras (i.e. bilinear maps) on the $n$-dimensional vector space. If $n>1$, then the algebra $W(n)$ does not belong to any well-known class of algebras (such as associative, Lie, Jordan, or ...
Kaygorodov, Ivan, Volkov, Yury
core   +1 more source

Three Dimensional Strongly Symmetric Circulant Tensors

, 2015
In this paper, we give a necessary and sufficient condition for an even order three dimensional strongly symmetric circulant tensor to be positive semi-definite.
Chen, Yannan, Qi, Liqun, Wang, Qun
core   +1 more source

The necessary and sufficient conditions of copositive tensors

, 2013
In this paper, it is proved that (strict) copositivity of a symmetric tensor $\mathcal{A}$ is equivalent to the fact that every principal sub-tensor of $\mathcal{A}$ has no a (non-positive) negative $H^{++}$-eigenvalue.
Qi, Liqun, Song, Yisheng
core   +1 more source