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Published in 2017 at "Foundations of Computational Mathematics"
DOI: 10.1007/s10208-015-9291-7
Abstract: This paper studies symmetric tensor decompositions. For symmetric tensors, there exist linear relations of recursive patterns among their entries. Such a relation can be represented by a polynomial, which is called a generating polynomial. The…
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Keywords:
tensor decompositions;
matrix;
tensor;
symmetric tensor ... See more keywords
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Published in 2018 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2018.05.033
Abstract: Abstract We study E-eigenvalues of a symmetric tensor f of degree d on a finite-dimensional Euclidean vector space V, and their relation with the E-characteristic polynomial of f. We show that the leading coefficient of…
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Keywords:
eigenvalues symmetric;
product;
characteristic polynomial;
symmetric tensor ... See more keywords
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Published in 2021 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2021.12.008
Abstract: The Symmetric Tensor Approximation problem (STA) consists of approximating a symmetric tensor or a homogeneous polynomial by a linear combination of symmetric rank-1 tensors or powers of linear forms of low symmetric rank. We present…
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Keywords:
newton;
tensor;
symmetric tensor;
approximation problem ... See more keywords
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Published in 2019 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7910
Abstract: This article answers a question posed by Draisma and Horobet, who asked for a closed formula for the expected number of real eigenvalues of a random real symmetric tensor drawn from the Gaussian distribution relative…
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Keywords:
symmetric tensor;
random symmetric;
many eigenvalues;
tensor real ... See more keywords
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Published in 2019 at "IEEE Transactions on Visualization and Computer Graphics"
DOI: 10.1109/tvcg.2018.2864768
Abstract: 3D symmetric tensor fields appear in many science and engineering fields, and topology-driven analysis is important in many of these application domains, such as solid mechanics and fluid dynamics. Degenerate curves and neutral surfaces are…
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Keywords:
tensor;
symmetric tensor;
neutral surfaces;
topology ... See more keywords
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Published in 2019 at "Quaestiones Mathematicae"
DOI: 10.2989/16073606.2019.1605422
Abstract: Abstract For a positive integer n and a uniformly complete vector lattice E, let denote the n-fold Fremlin vector lattice symmetric tensor product of E. We prove that if there exists a lattice homomorphism φ…
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Keywords:
lattice symmetric;
fremlin vector;
symmetric tensor;
vector lattice ... See more keywords
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Published in 2020 at "Quaestiones Mathematicae"
DOI: 10.2989/16073606.2020.1816587
Abstract: This paper aims to introduce the spacetimes admitting the Z-symmetric tensor. We investigate the properties of these spacetimes for a perfect fluid and a pressureless perfect fluid (a dust). Some theorems about the properties are…
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Keywords:
admitting symmetric;
symmetric tensor;
spacetimes admitting;