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Singular value inclusion sets of rectangular tensors
Linear Algebra and its Applications, 2019The 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 +4 more
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Volume average demagnetizing tensor of rectangular prisms
IEEE Transactions on Magnetics, 1998An 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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E-characteristic polynomials of real rectangular tensor
Transactions of Tianjin University, 2014By 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, 2017Two 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 k,s -Singular values and spectral radius of rectangular tensors
Frontiers of Mathematics in China, 2013This 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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$$l^{p/2,q/2}$$-Singular values of a real partially symmetric rectangular tensor
Japan Journal of Industrial and Applied Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Two new singular value inclusion sets for rectangular tensors
Linear and Multilinear Algebra, 2018ABSTRACTLet 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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Tensor permittivity reconstruction of multi-sectional diaphragm in a rectangular waveguide
2016 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2016This work is devoted to the development of a numerical-analytical method for solving the inverse problem of reconstructing tensor permittivity of a multi-sectional diaphragm in a rectangular waveguide. Numerical results are presented that confirm the efficiency of the proposed technique.
Yu. V. Shestopalov +2 more
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l k,s -Singular values and spectral radius of partially symmetric rectangular tensors
Frontiers of Mathematics in China, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yao, Hongmei +3 more
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Image buildup for the rectangular waveguide tensor Green's function
IEEE Transactions on Antennas and Propagation, 1984Tensor Green's functions, of both electric and magnetic type, are produced for the rectangular waveguide through summation of a doubly infinite series of free-space contributions obtained from endless imaging across (perfectly conducting) guide walls. The requisite summation is facilitated by resorting to a Fourier integral representation for the basic
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