New inequalities on the Fan product of M-matrices

This paper focuses on the minimum eigenvalue involving the Fan product. By utilizing the Hölder inequality and the classic eigenvalue inclusion theorem, we introduce two novel lower bounds for τ ( A 1 ⋆ A 2 ) , representing the minimum eigenvalue involving the Fan product of two M -matrices A 1 , A...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2024; no. 1; pp. 133 - 14
Main Authors Zhong, Qin, Li, Na, Li, Chunlan
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 16.10.2024
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Eigenvalues
Fan product
Inequality
Irreducible
Lower bounds
M-matrix
Mathematics
Mathematics and Statistics
Minimum eigenvalue
15A42
Fan product
Minimum eigenvalue
15A48
matrix
Irreducible
15A18
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Summary:This paper focuses on the minimum eigenvalue involving the Fan product. By utilizing the Hölder inequality and the classic eigenvalue inclusion theorem, we introduce two novel lower bounds for τ ( A 1 ⋆ A 2 ) , representing the minimum eigenvalue involving the Fan product of two M -matrices A 1 , A 2 . The newly derived lower bounds are then compared with the traditional findings. Numerical tests are presented to illustrate that the new lower bound formulas significantly enhance Johnson and Horn’s results in certain scenarios and are more precise than other existing findings.
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SourceType-Scholarly Journals-1
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ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-024-03211-4