New lower bounds of the minimum eigenvalue for the Fan product of several M-matrices
In this study, we generalize the definition of the Fan product of two <italic>M</italic>-matrices to any $ k $ <italic>M</italic>-matrices $ {{A}_{1}}, {{A}_{2}}, \cdots, {{A}_{k}} $ of order $ n $. We introduce two new inequalities for the lower bound of the minimum eigenval...
| Published in: | AIMS Mathematics |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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AIMS Press
2023-10-01
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| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20231489?viewType=HTML/ |
| Summary: | In this study, we generalize the definition of the Fan product of two <italic>M</italic>-matrices to any $ k $ <italic>M</italic>-matrices $ {{A}_{1}}, {{A}_{2}}, \cdots, {{A}_{k}} $ of order $ n $. We introduce two new inequalities for the lower bound of the minimum eigenvalue $ \tau \left({{A}_{1}}\star {{A}_{2}}\star \cdots \star {{A}_{k}} \right) $. These new lower bounds generalize the existing results. To validate the accuracy of our findings, we present examples in which our results outperform previous ones in certain cases. |
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| ISSN: | 2473-6988 |