Results 91 to 100 of about 1,601 (125)

Singular values of nonnegative rectangular tensors

Frontiers of Mathematics in China, 2011
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Yang, Yuning, Yang, Qingzhi
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On copositiveness identification of partially symmetric rectangular tensors

Journal of Computational and Applied Mathematics, 2020
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Chunyan Wang, Haibin Chen, Yiju Wang, Guanglu Zhou   +3 more
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Singular value inclusion sets of rectangular tensors

Linear Algebra and its Applications, 2019
The authors work on rectangular tensors, namely tensors of type \( v\in V^{m\times \dots \times m \times n \times \dots \times n },\) where \(V=\mathbb{R}\) or \(\mathbb{C}.\) The main task is finding bounds on the set of singular values of \(v\) in terms of its components.
Yao, Hongmei, Zhang, Can, Liu, Lei, Zhou, Jiang, Bu, Changjiang   +4 more
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Volume average demagnetizing tensor of rectangular prisms

IEEE Transactions on Magnetics, 1998
An exact analytic formula is presented for the magnetostatic field produced by a three-dimensional array of uniformly magnetized rectangular prisms. It is derived from the volume integration of a point-function demagnetizing tensor. The values of the point-function demagnetizing tensor at the centers of rectangular prisms of different aspect-ratios are
H. Fukushima, Y. Nakatani, N. Hayashi
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l k,s -Singular values and spectral radius of rectangular tensors

Frontiers of Mathematics in China, 2013
This paper deals with spectral issues of real \((p,q)\)-th order \((m\times n)\)-dimensional rectangular tensors. The concepts of \(l^{k,s}\)-singular values/vectors of real nonnegative partially symmetric rectangular tensors are introduced and their properties are investigated.
Ling, Chen, Qi, Liqun
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l k,s -Singular values and spectral radius of partially symmetric rectangular tensors

Frontiers of Mathematics in China, 2015
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Yao, Hongmei, Long, Bingsong, Bu, Changjiang, Zhou, Jiang   +3 more
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E-characteristic polynomials of real rectangular tensor

Transactions of Tianjin University, 2014
By the resultant theory, the E-characteristic polynomial of a real rectangular tensor is defined. It is proved that an E-singular value of a real rectangular tensor is always a root of the E-characteristic polynomial. The definition of the regularity of square tensors is generalized to the rectangular tensors, and in the regular case, a root of the ...
Wei Wu, Xiaoxiao Chen
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Singular value inclusion sets for rectangular tensors

Linear and Multilinear Algebra, 2017
Two singular value inclusion sets for rectangular tensors are given. These sets provide two upper bounds and lower bounds for the largest singular value of nonnegative rectangular tensors, which ca...
Jianxing Zhao, Chaoqian Li
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$$l^{p/2,q/2}$$-Singular values of a real partially symmetric rectangular tensor

Japan Journal of Industrial and Applied Mathematics, 2022
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Two new singular value inclusion sets for rectangular tensors

Linear and Multilinear Algebra, 2018
ABSTRACTLet A be a real (p,q)th order m×n dimensional rectangular tensor. A new singular value inclusion set for rectangular tensors with m=n is given and proved to be tighter than those in [Zhao J...
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