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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
openaire   +1 more source

\(l^{p/2,q/2}\)-Singular values of a real partially symmetric rectangular tensor

Japan Journal of Industrial and Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jianxing Zhao
exaly   +2 more sources

Rectangular array of electromagnetic vector sensors: tensor modelling/decomposition and DOA-polarisation estimation [PDF]

open access: yesIET Signal Processing, 2019
In this study, the authors propose a fast quadrilinear decomposition algorithm for estimation of the directions‐of‐arrival and polarisations of the incident sources via a uniform rectangular array of electromagnetic vector sensors (EMVSs). Conventional quadrilinear alternating least squares (QALS), involves computationally intensive Khatri‐Rao products
Pan Gong, Tanveer Ahmed, Xiaofei Zhang
exaly   +2 more sources

Tensor permittivity reconstruction of multi-sectional diaphragm in a rectangular waveguide

2016 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2016
This 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.
Yury Smirnov, Ekaterina Derevyanchuk
exaly   +2 more sources

Tensor permittivity reconstruction of two-sectional diaphragm in a rectangular waveguide

Proceedings of the International Conference Days on Diffraction 2014, 2014
In this paper we consider tensor permittivity determination of two-sectional diaphragm in a rectangular waveguide. This study employs the technique developed in [1]-[3] and deals with tensor permittivity reconstruction of layered materials in the form of diaphragms (sections) in a waveguide of rectangular cross section from the transmission coefficient.
Yury Smirnov
exaly   +2 more sources

A Measurement of the Complex Permittivity Tensor by a Standing-Wave Method in a Rectangular Waveguide

IEEE Transactions on Electromagnetic Compatibility, 1987
A rubber sheet manufactured by the rolling process strongly shows an anisotropic property, which is caused by carbon particles or carbon fibers aligned along the rolling direction. The measurement of the complex permittivity tensor in the rubber sheet is studied by a standing-wave method in a rectangular waveguide.
Yasutaka Shimizu
exaly   +2 more sources

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
openaire   +2 more sources

Linear convergence of an algorithm for largest singular value of a nonnegative rectangular tensor

Frontiers of Mathematics in China, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

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 ...
openaire   +1 more source

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