Novel Pareto Z-eigenvalue inclusion intervals for tensor eigenvalue complementarity problems and its applications
In this paper, we establish Pareto $ Z $-eigenvalue inclusion intervals of tensor eigenvalue complementarity problems based on the spectral radius of symmetric matrices deduced from the provided tensor. Numerical examples are suggested to demonstrate the effectiveness of the results. As an applicati...
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AIMS Press
2024-10-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241459?viewType=HTML |
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| author | Xueyong Wang Gang Wang Ping Yang |
| author_facet | Xueyong Wang Gang Wang Ping Yang |
| author_sort | Xueyong Wang |
| collection | DOAJ |
| description | In this paper, we establish Pareto $ Z $-eigenvalue inclusion intervals of tensor eigenvalue complementarity problems based on the spectral radius of symmetric matrices deduced from the provided tensor. Numerical examples are suggested to demonstrate the effectiveness of the results. As an application we offer adequate criteria for the strict copositivity of symmetric tensors. |
| format | Article |
| id | doaj-art-57a7bbc0400c40fbb5bcd8a5d766f2c9 |
| institution | OA Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-57a7bbc0400c40fbb5bcd8a5d766f2c92025-08-20T02:18:42ZengAIMS PressAIMS Mathematics2473-69882024-10-01911302143022910.3934/math.20241459Novel Pareto Z-eigenvalue inclusion intervals for tensor eigenvalue complementarity problems and its applicationsXueyong Wang0Gang Wang1Ping Yang21. School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741000, Gansu, China2. School of Management Science, Qufu Normal University, Rizhao 276800, Shandong, China2. School of Management Science, Qufu Normal University, Rizhao 276800, Shandong, ChinaIn this paper, we establish Pareto $ Z $-eigenvalue inclusion intervals of tensor eigenvalue complementarity problems based on the spectral radius of symmetric matrices deduced from the provided tensor. Numerical examples are suggested to demonstrate the effectiveness of the results. As an application we offer adequate criteria for the strict copositivity of symmetric tensors.https://www.aimspress.com/article/doi/10.3934/math.20241459?viewType=HTMLtensor eigenvalue complementarity problemspareto $ z $-eigenvalue intervalsstrict copositivitylower and upper bounds |
| spellingShingle | Xueyong Wang Gang Wang Ping Yang Novel Pareto Z-eigenvalue inclusion intervals for tensor eigenvalue complementarity problems and its applications AIMS Mathematics tensor eigenvalue complementarity problems pareto $ z $-eigenvalue intervals strict copositivity lower and upper bounds |
| title | Novel Pareto Z-eigenvalue inclusion intervals for tensor eigenvalue complementarity problems and its applications |
| title_full | Novel Pareto Z-eigenvalue inclusion intervals for tensor eigenvalue complementarity problems and its applications |
| title_fullStr | Novel Pareto Z-eigenvalue inclusion intervals for tensor eigenvalue complementarity problems and its applications |
| title_full_unstemmed | Novel Pareto Z-eigenvalue inclusion intervals for tensor eigenvalue complementarity problems and its applications |
| title_short | Novel Pareto Z-eigenvalue inclusion intervals for tensor eigenvalue complementarity problems and its applications |
| title_sort | novel pareto z eigenvalue inclusion intervals for tensor eigenvalue complementarity problems and its applications |
| topic | tensor eigenvalue complementarity problems pareto $ z $-eigenvalue intervals strict copositivity lower and upper bounds |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241459?viewType=HTML |
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