An optimal $ Z $-eigenvalue inclusion interval for a sixth-order tensor and its an application-Reference-Cited by-同舟云学术

An optimal $ Z $-eigenvalue inclusion interval for a sixth-order tensor and its an application

Published:2021 Issue:1 Volume:7 Page:967-985
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Yao Tinglan,

Abstract

<abstract><p>An optimal $ Z $-eigenvalue inclusion interval for a sixth-order tensor is presented. As an application, a sufficient condition for the positive definiteness of a sixth-order real symmetric tensor (also a homogeneous polynomial form) is obtained, which is used to judge the asymptotically stability of time-invariant polynomial systems.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference31 articles.

1. B. D. Anderson, N. K. Bose, E. I. Jury, Output feedback stabilization and related problems-solution via decision methods, IEEE T. Automat. Contr., 20 (1975), 53–66. doi: 10.1109/TAC.1975.1100846.

2. N. K. Bose, P. S. Kamt, Algorithm for stability test of multidimensional filters, IEEE T. Acoust. Speech Signal Proc., 22 (1974), 307–314. doi: 10.1109/TASSP.1974.1162592.

3. N. K. Bose, R. W. Newcomb, Tellegon's theorem and multivariate realizability theory, Int. J. Electron, 36 (1974), 417–425. doi: 10.1080/00207217408900421.

4. C. L. Deng, H. F. Li, C. J. Bu, Brauer-type eigenvalue inclusion sets of stochastic/irreducible tensors and positive definiteness of tensors, Linear Algebra Appl., 556 (2018), 55–69. doi: 10.1016/j.laa.2018.06.032.

5. P. van den Driessche, Reproduction numbers of infectious disease models, Infect. Dis. Model., 2 (2017), 288–303. doi: 10.1016/j.idm.2017.06.002.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Z-Eigenvalue Intervals of Even-Order Tensors with Application to Judge the Strong Ellipticity of an Elasticity Tensor;Acta Applicandae Mathematicae;2022-11-16