Results 21 to 30 of about 80 (79)

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

Semi-Symmetric Algebras: General Constructions. Part II [PDF]

, 2010
2000 Mathematics Subject Classification: 15A69, 15A78.In [3] we present the construction of the semi-symmetric algebra [χ](E) of a module E over a commutative ring K with unit, which generalizes the tensor algebra T(E), the symmetric algebra S(E), and ...
Iliev, Valentin Vankov
core  

Eigenvalues of the Adjacency Tensor on Products of Hypergraphs [PDF]

, 2013
We consider the generalized notions of Cartesian and tensor products on m-uniform hypergraphs. The adjacency tensor is analogous to the adjacency matrix and two different notions of eigenvalues of the adjacency tensor on the products of hypergraphs are ...
Kelly J Pearson, Tan Zhang
core  

Linear preservers of Tensor product of Unitary Orbits

, 2020
It is shown that the linear group of automorphism of Hermitian matrices which preserves the tensor product of unitary orbits is generated by natural automorphisms: change of an orthonormal basis in each tensor factor, partial transpose in each tensor ...
Chi-Kwong Li, Raphael Loewy, Abraham Berman, Yiu-Tung Poon, Moshe Goldberg, Nung-Sing Sze   +5 more
core  

Asymptotic behaviour of Functional Identities [PDF]

, 2012
2010 Mathematics Subject Classification: Primary 16R60, Secondary 16R10, 15A03, 15A69.We calculate the asymptotics of functional codimensions fcn(A) and generalized functional codimensions gfc n (A) of an arbitrary not necessarily associative algebra A ...
Gordienko, A. S.
core  

Computation of the Response Surface in the Tensor Train data format [PDF]

, 2014
We apply the Tensor Train (TT) approximation to construct the Polynomial Chaos Expansion (PCE) of a random field, and solve the stochastic elliptic diffusion PDE with the stochastic Galerkin discretization.
Matthies, Hermann G., Khoromskij, Boris N., Dolgov, Sergey, Litvinenko, Alexander   +3 more
core  

The hyperbolic CS decomposition of tensors based on the C-product

Open Mathematics
This paper studies the issues about the hyperbolic CS decomposition of tensors under the C-product. The aim of this paper is fourfold. Firstly, we establish the CS decomposition of a complex unitary tensor, including the thin version and the standard ...
Jin Hongwei, Chen Siran, Benítez Julio
doaj   +1 more source

Algorithm and linear convergence of the H-spectral radius of weakly irreducible quasi-positive tensors

Open Mathematics
A class of weakly irreducible quasi-positive tensors is defined by using directed hypergraphs of tensors, which generalizes the essential positive tensors, weakly positive tensors, generalized weakly positive tensors, and weakly essential irreducible ...
Lv Hongbin, Chen Meixiang
doaj   +1 more source

Preconditioned optimization algorithms solving the problem of the non unitary joint block diagonalization: application to blind separation of convolutive mixtures [PDF]

, 2017
International audienceThis article addresses the problem of the Non Unitary Joint Block Diagonalization (NU − JBD) of a given set of complex matrices for the blind separation of convolutive mixtures of sources.
Thirion-Moreau, Nadège, Cherrak, Omar, Ghennioui, Hicham, Abarkan, El Houssein   +3 more
core   +1 more source

Geršhgorin-type theorems for Z1-eigenvalues of tensors with applications

Demonstratio Mathematica
In this article, we present several Geršhgorin-type theorems for Z1{Z}_{1}-eigenvalues of tensors, which improve the results provided by Wang et al. (Some upper bounds on Zt{Z}_{t}-eigenvalues of tensors, Appl. Math. Comput.
Shen Xiaowei, Hao Qian, He Jun, Wang Guangbin   +3 more
doaj   +1 more source