Results 31 to 40 of about 835 (69)

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
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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

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

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
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On two matrix derivatives by Kollo and von Rosen [PDF]

, 2003
The article establishes relationships between the matrix derivatives of F with respect to X as introduced by von Rosen (1988), Kollo and von Rosen (2000) and the Magnus-Neudecker (1999) matrix derivative.
Neudecker, Heinz
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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

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
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On Kronecker Quotients

, 2014
Leopardi introduced the notion of a Kronecker quotient in [Paul Leopardi. A generalized FFT for Clifford algebras. Bulletin of the Belgian Mathematical Society, 11:663--688, 2005.].
Hardy, Yorick
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Linear preservers and quantum information science

, 2012
Let $m,n\ge 2$ be positive integers, $M_m$ the set of $m\times m$ complex matrices and $M_n$ the set of $n\times n$ complex matrices. Regard $M_{mn}$ as the tensor space $M_m\otimes M_n$. Suppose $|\cdot|$ is the Ky Fan $k$-norm with $1 \le k \le mn$, or
Fosner, Ajda, Huang, Zejun, Li, Chi-Kwong, Sze, Nung-Sing   +3 more
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M-tensors and The Positive Definiteness of a Multivariate Form [PDF]

, 2012
We study M-tensors and various properties of M-tensors are given. Specially, we show that the smallest real eigenvalue of M-tensor is positive corresponding to a nonnegative eigenvector.
Qi, Liqun, Zhang, Liping, Zhou, Guanglu
core