AnS-type upper bound for the largest singular value of nonnegative rectangular tensors

Jianxing Zhao; Caili Sang

Open Mathematics (2016)

  • Volume: 14, Issue: 1, page 925-933
  • ISSN: 2391-5455

Abstract

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An S-type upper bound for the largest singular value of a nonnegative rectangular tensor is given by breaking N = {1, 2, … n} into disjoint subsets S and its complement. It is shown that the new upper bound is smaller than that provided by Yang and Yang (2011). Numerical examples are given to verify the theoretical results.

How to cite

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Jianxing Zhao, and Caili Sang. "AnS-type upper bound for the largest singular value of nonnegative rectangular tensors." Open Mathematics 14.1 (2016): 925-933. <http://eudml.org/doc/287141>.

@article{JianxingZhao2016,
abstract = {An S-type upper bound for the largest singular value of a nonnegative rectangular tensor is given by breaking N = \{1, 2, … n\} into disjoint subsets S and its complement. It is shown that the new upper bound is smaller than that provided by Yang and Yang (2011). Numerical examples are given to verify the theoretical results.},
author = {Jianxing Zhao, Caili Sang},
journal = {Open Mathematics},
keywords = {Nonnegative tensor; Rectangular tensor; Singular value; nonnegative tensor; rectangular tensor; singular value},
language = {eng},
number = {1},
pages = {925-933},
title = {AnS-type upper bound for the largest singular value of nonnegative rectangular tensors},
url = {http://eudml.org/doc/287141},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Jianxing Zhao
AU - Caili Sang
TI - AnS-type upper bound for the largest singular value of nonnegative rectangular tensors
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 925
EP - 933
AB - An S-type upper bound for the largest singular value of a nonnegative rectangular tensor is given by breaking N = {1, 2, … n} into disjoint subsets S and its complement. It is shown that the new upper bound is smaller than that provided by Yang and Yang (2011). Numerical examples are given to verify the theoretical results.
LA - eng
KW - Nonnegative tensor; Rectangular tensor; Singular value; nonnegative tensor; rectangular tensor; singular value
UR - http://eudml.org/doc/287141
ER -

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