Results 91 to 100 of about 1,665,186 (233)
Geometric decomposition of the conformation tensor in viscoelastic turbulence
, 2018 This work introduces a mathematical approach to analysing the polymer dynamics in turbulent viscoelastic flows that uses a new geometric decomposition of the conformation tensor, along with associated scalar measures of the polymer fluctuations.
Gayme, Dennice F. +3 more
core +1 more source
Proof of a decomposition theorem for symmetric tensors on spaces with constant curvature
, 2008 In cosmological perturbation theory a first major step consists in the decomposition of the various perturbation amplitudes into scalar, vector and tensor perturbations, which mutually decouple.
Straumann, Norbert
core +1 more source
Tracking tensor ring decompositions of streaming tensors
Computational and Applied MathematicsTensor ring (TR) decomposition is an efficient approach to discover the hidden low-rank patterns for higher-order tensors, and streaming tensors are becoming highly prevalent in real-world applications. In this paper, we investigate how to track TR decompositions of streaming tensors. An efficient algorithm is first proposed.
Yajie Yu, Hanyu Li
openaire +2 more sources
Hankel Tensor Decompositions and Ranks [PDF]
SIAM Journal on Matrix Analysis and Applications, 2019 Hankel tensors are generalizations of Hankel matrices. This article studies the relations among various ranks of Hankel tensors. We give an algorithm that can compute the Vandermonde ranks and decompositions for all Hankel tensors. For a generic $n$-dimensional Hankel tensor of even order or order three, we prove that the the cp rank, symmetric rank ...
Jiawang Nie, Ke Ye
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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
doaj +1 more source
Spectrum Situation Awareness for Space–Air–Ground Integrated Networks Based on Tensor Computing
SensorsThe spectrum situation awareness problem in space–air–ground integrated networks (SAGINs) is studied from a tensor-computing perspective. Tensor and tensor computing, including tensor decomposition, tensor completion and tensor eigenvalues, can satisfy ...
Bin Qi, Wensheng Zhang, Lei Zhang
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Physical decomposition of the gauge and gravitational fields
, 2011 Physical decomposition of the non-Abelian gauge field has recently solved the two-decade-lasting problem of a meaningful gluon spin. Here we extend this approach to gravity and attack the century-lasting problem of a meaningful gravitational energy.
Ben-Chao Zhu +4 more
core +1 more source
On Anisotropy, Objectivity and Invariancy in finite thermo–mechanical deformations [PDF]
, 2006 In elastic–plastic finite deformation problems constitutive relations are commonly formulated in\ud terms the Cauchy stress as a function of the elastic finger tensor and an objective rate of the Cauchy stress\ud as a function of the rate of deformation ...
Huetink, J.
core +1 more source
Hermitian Tensor Product Approximation of Complex Matrices and Separability
, 2006 The approximation of matrices to the sum of tensor products of Hermitian matrices is studied. A minimum decomposition of matrices on tensor space $H_1\otimes H_2$ in terms of the sum of tensor products of Hermitian matrices on $H_1$ and $H_2$ is ...
Albeverio +29 more
core +2 more sources
A Tensor-Based Go Decomposition Method for Hyperspectral Anomaly Detection
IEEE Journal of Selected Topics in Applied Earth Observations and Remote SensingHyperspectral anomaly detection (HAD) aims at effectively separating the anomaly target from the background. The low-rank and sparse matrix decomposition (LRaSMD) technique has shown great potential in HAD tasks.
Meiping Song +4 more
doaj +1 more source