Article
| Title: | A lower bound sequence for the minimum eigenvalue of Hadamard product of an $M$-matrix and its inverse (English) |
| Author: | Zeng, Wenlong |
| Author: | Liu, Jianzhou |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 72 |
| Issue: | 3 |
| Year: | 2022 |
| Pages: | 663-679 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We propose a lower bound sequence for the minimum eigenvalue of Hadamard product of an $M$-matrix and its inverse, in terms of an $S$-type eigenvalues inclusion set and inequality scaling techniques. In addition, it is proved that the lower bound sequence converges. Several numerical experiments are given to demonstrate that the lower bound sequence is sharper than some existing ones in most cases. (English) |
| Keyword: | lower bound sequence |
| Keyword: | Hadamard product |
| Keyword: | $M$-matrix |
| Keyword: | doubly stochastic matrix |
| Keyword: | $S$-type eigenvalue inclusion set |
| MSC: | 15A18 |
| MSC: | 15A42 |
| idZBL: | Zbl 07584094 |
| idMR: | MR4467934 |
| DOI: | 10.21136/CMJ.2021.0092-21 |
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| Date available: | 2022-08-22T08:16:54Z |
| Last updated: | 2022-12-27 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/150609 |
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| Reference: | [8] Li, H.-B., Huang, T.-Z., Shen, S.-Q., Li, H.: Lower bounds for the minimum eigenvalue of Hadamard product of an $M$-matrix and its inverse.Linear Algebra Appl. 420 (2007), 235-247. Zbl 1172.15008, MR 2277644, 10.1016/j.laa.2006.07.008 |
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