Results 31 to 40 of about 849 (68)
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 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.
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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
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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
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Open MathematicsA 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
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The hyperbolic CS decomposition of tensors based on the C-product
Open MathematicsThis 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
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Geršhgorin-type theorems for Z1-eigenvalues of tensors with applications
Demonstratio MathematicaIn 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 +3 more
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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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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 +3 more
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Nonnegative Tensor Factorization, Completely Positive Tensors and an Hierarchical Elimination Algorithm [PDF]
, 2013 Nonnegative tensor factorization has applications in statistics, computer vision, exploratory multiway data analysis and blind source separation. A symmetric nonnegative tensor, which has a symmetric nonnegative factorization, is called a completely ...
Qi, Liqun, Xu, Changqing, Xu, Yi
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