Schur complement-based infinity norm bounds for the inverse of S-Sparse Ostrowski Brauer matrices
In this paper, we study the Schur complement problem of $ S $-SOB matrices, and prove that the Schur complement of $ S $-Sparse Ostrowski-Brauer ($ S $-SOB) matrices is still in the same class under certain conditions. Based on the Schur complement of $ S $-SOB matrices, some upper bound for the inf...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-09-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231317?viewType=HTML |
| _version_ | 1797674348880855040 |
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| author | Dizhen Ao Yan Liu Feng Wang Lanlan Liu |
| author_facet | Dizhen Ao Yan Liu Feng Wang Lanlan Liu |
| author_sort | Dizhen Ao |
| collection | DOAJ |
| description | In this paper, we study the Schur complement problem of $ S $-SOB matrices, and prove that the Schur complement of $ S $-Sparse Ostrowski-Brauer ($ S $-SOB) matrices is still in the same class under certain conditions. Based on the Schur complement of $ S $-SOB matrices, some upper bound for the infinite norm of $ S $-SOB matrices is obtained. Numerical examples are given to certify the validity of the obtained results. By using the infinity norm bound, an error bound is given for the linear complementarity problems of $ S $-SOB matrices. |
| first_indexed | 2024-03-11T21:57:47Z |
| format | Article |
| id | doaj.art-8b320a8a34624d3684aa56c58f3c79cb |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-11T21:57:47Z |
| publishDate | 2023-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-8b320a8a34624d3684aa56c58f3c79cb2023-09-26T01:31:49ZengAIMS PressAIMS Mathematics2473-69882023-09-01811258152584410.3934/math.20231317Schur complement-based infinity norm bounds for the inverse of S-Sparse Ostrowski Brauer matricesDizhen Ao0Yan Liu1Feng Wang2Lanlan Liu 3College of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, ChinaCollege of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, ChinaCollege of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, ChinaCollege of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, ChinaIn this paper, we study the Schur complement problem of $ S $-SOB matrices, and prove that the Schur complement of $ S $-Sparse Ostrowski-Brauer ($ S $-SOB) matrices is still in the same class under certain conditions. Based on the Schur complement of $ S $-SOB matrices, some upper bound for the infinite norm of $ S $-SOB matrices is obtained. Numerical examples are given to certify the validity of the obtained results. By using the infinity norm bound, an error bound is given for the linear complementarity problems of $ S $-SOB matrices. https://www.aimspress.com/article/doi/10.3934/math.20231317?viewType=HTML$ s $-sob matrixschur complementinfinite norm upper bound |
| spellingShingle | Dizhen Ao Yan Liu Feng Wang Lanlan Liu Schur complement-based infinity norm bounds for the inverse of S-Sparse Ostrowski Brauer matrices AIMS Mathematics $ s $-sob matrix schur complement infinite norm upper bound |
| title | Schur complement-based infinity norm bounds for the inverse of S-Sparse Ostrowski Brauer matrices |
| title_full | Schur complement-based infinity norm bounds for the inverse of S-Sparse Ostrowski Brauer matrices |
| title_fullStr | Schur complement-based infinity norm bounds for the inverse of S-Sparse Ostrowski Brauer matrices |
| title_full_unstemmed | Schur complement-based infinity norm bounds for the inverse of S-Sparse Ostrowski Brauer matrices |
| title_short | Schur complement-based infinity norm bounds for the inverse of S-Sparse Ostrowski Brauer matrices |
| title_sort | schur complement based infinity norm bounds for the inverse of s sparse ostrowski brauer matrices |
| topic | $ s $-sob matrix schur complement infinite norm upper bound |
| url | https://www.aimspress.com/article/doi/10.3934/math.20231317?viewType=HTML |
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