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Singular values of nonnegative rectangular tensors

Frontiers of Mathematics in China, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Yuning, Yang, Qingzhi
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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   +4 more
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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 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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$$l^{p/2,q/2}$$-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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Image buildup for the rectangular waveguide tensor Green's function

IEEE Transactions on Antennas and Propagation, 1984
Tensor 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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Correlation tensors of the blackbody radiation in rectangular cavities

Zeitschrift f�r Physik B Condensed Matter and Quanta, 1976
Electromagnetic equilibrium fluctuations in finite cavities filled with a dissipative medium (dielectric functione (ω)=e′+ie″) and bounded by walls of infinite conductivity are considered. Expanding the fields in terms of a complete and orthonormal set of functions and solving the Maxwell equations the response of the EM field to external forces ...
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The streamline-diffusion method for nonconforming Qrot1 elements on rectangular tensor-product meshes

IMA Journal of Numerical Analysis, 2001
The authors study the stability and convergence properties of the streamline-diffusion finite element method (SDFEM) discretization for nonconforming elements on tensor-product rectangular meshes. The analysis in this paper shows that no jump terms are needed to stabilize the method as propsed in earlier works dealing with nonconformal elements ...
Stynes, Martin, Tobiska, Lutz
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