New bounds for the minimum eigenvalue of 𝓜-tensors

descriptionPublicationkeyboard_double_arrow_right Article 16 Mar 2017Publisher:Walter de Gruyter GmbHJournal:Open Mathematics, volume 15, pages 296-303 (eissn: 2391-5455,

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Authors: Zhao Jianxing; Sang Caili;

doi: 10.1515/math-2017-0018

New bounds for the minimum eigenvalue of 𝓜-tensors

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Abstract

Abstract A new lower bound and a new upper bound for the minimum eigenvalue of an 𝓜-tensor are obtained. It is proved that the new lower and upper bounds improve the corresponding bounds provided by He and Huang (J. Inequal. Appl., 2014, 2014, 114) and Zhao and Sang (J. Inequal. Appl., 2016, 2016, 268). Finally, two numerical examples are given to verify the theoretical results.

Related Organizations

Guizhou Minzu University
China (People's Republic of)
Minzu University of China
China (People's Republic of)

Keywords

15a18, nonnegative tensors, minimum eigenvalue, 𝓜-tensors, QA1-939, 15a42, 15a69, Mathematics

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