Generalized Perron complements in diagonally dominant matrices
The concept of the generalized Perron complement concerning a nonnegative irreducible matrix was proposed by L. Z. Lu in 2002, and it was used to construct an algorithm for estimating the boundary of the spectral radius. In this study, we consider the properties of generalized Perron complements of...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-11-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241616 |
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| _version_ | 1832590766022590464 |
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| author | Qin Zhong Na Li |
| author_facet | Qin Zhong Na Li |
| author_sort | Qin Zhong |
| collection | DOAJ |
| description | The concept of the generalized Perron complement concerning a nonnegative irreducible matrix was proposed by L. Z. Lu in 2002, and it was used to construct an algorithm for estimating the boundary of the spectral radius. In this study, we consider the properties of generalized Perron complements of nonnegative irreducible and diagonally dominant matrices. Moreover, we analyze the closure property of the generalized Perron complements of nonnegative irreducible $ H $-matrices under certain conditions. |
| format | Article |
| id | doaj-art-aaba28d1fb7c40148ac2d969f742ca29 |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-aaba28d1fb7c40148ac2d969f742ca292025-01-23T07:53:24ZengAIMS PressAIMS Mathematics2473-69882024-11-01912338793389010.3934/math.20241616Generalized Perron complements in diagonally dominant matricesQin Zhong0Na Li1Department of Mathematics, Sichuan University Jinjiang College, Meishan 620860, ChinaSchool of Intelligence Technology, Geely University of China, Chengdu 641423, ChinaThe concept of the generalized Perron complement concerning a nonnegative irreducible matrix was proposed by L. Z. Lu in 2002, and it was used to construct an algorithm for estimating the boundary of the spectral radius. In this study, we consider the properties of generalized Perron complements of nonnegative irreducible and diagonally dominant matrices. Moreover, we analyze the closure property of the generalized Perron complements of nonnegative irreducible $ H $-matrices under certain conditions.https://www.aimspress.com/article/doi/10.3934/math.20241616irreducibilitynonnegative matrixdiagonally dominantgeneralized perron complement$ h $-matrix |
| spellingShingle | Qin Zhong Na Li Generalized Perron complements in diagonally dominant matrices AIMS Mathematics irreducibility nonnegative matrix diagonally dominant generalized perron complement $ h $-matrix |
| title | Generalized Perron complements in diagonally dominant matrices |
| title_full | Generalized Perron complements in diagonally dominant matrices |
| title_fullStr | Generalized Perron complements in diagonally dominant matrices |
| title_full_unstemmed | Generalized Perron complements in diagonally dominant matrices |
| title_short | Generalized Perron complements in diagonally dominant matrices |
| title_sort | generalized perron complements in diagonally dominant matrices |
| topic | irreducibility nonnegative matrix diagonally dominant generalized perron complement $ h $-matrix |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241616 |
| work_keys_str_mv | AT qinzhong generalizedperroncomplementsindiagonallydominantmatrices AT nali generalizedperroncomplementsindiagonallydominantmatrices |