New iterative codes for𝓗-tensors and an application

Feng Wang; Deshu Sun

Open Mathematics (2016)

  • Volume: 14, Issue: 1, page 212-220
  • ISSN: 2391-5455

Abstract

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New iterative codes for identifying 𝓗 -tensor are obtained. As an application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor, i.e., an even-degree homogeneous polynomial form are given. Advantages of results obtained are illustrated by numerical examples.

How to cite

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Feng Wang, and Deshu Sun. "New iterative codes for𝓗-tensors and an application." Open Mathematics 14.1 (2016): 212-220. <http://eudml.org/doc/277110>.

@article{FengWang2016,
abstract = {New iterative codes for identifying 𝓗 -tensor are obtained. As an application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor, i.e., an even-degree homogeneous polynomial form are given. Advantages of results obtained are illustrated by numerical examples.},
author = {Feng Wang, Deshu Sun},
journal = {Open Mathematics},
keywords = {𝓗-tensors; Symmetric tensors; Homogeneous polynomial; Positive definiteness; Irreducible; -tensors; symmetric tensors; homogeneous polynomial; positive definiteness; irreducible; iterative codes; numerical example},
language = {eng},
number = {1},
pages = {212-220},
title = {New iterative codes for𝓗-tensors and an application},
url = {http://eudml.org/doc/277110},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Feng Wang
AU - Deshu Sun
TI - New iterative codes for𝓗-tensors and an application
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 212
EP - 220
AB - New iterative codes for identifying 𝓗 -tensor are obtained. As an application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor, i.e., an even-degree homogeneous polynomial form are given. Advantages of results obtained are illustrated by numerical examples.
LA - eng
KW - 𝓗-tensors; Symmetric tensors; Homogeneous polynomial; Positive definiteness; Irreducible; -tensors; symmetric tensors; homogeneous polynomial; positive definiteness; irreducible; iterative codes; numerical example
UR - http://eudml.org/doc/277110
ER -

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