Several new inequalities for the minimum eigenvalue of M-matrices

Several new inequalities for the minimum eigenvalue of M-matrices

Several convergent sequences of the lower bounds for the minimum eigenvalue of M -matrices are given. It is proved that these sequences are monotone increasing and improve some existing results. Finally, numerical examples are given to show that these sequences are better than some known results and...

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Veröffentlicht in:Journal of inequalities and applications 2016-04, Vol.2016 (1), p.1-9, Article 119
Hauptverfasser: Zhao, Jianxing, Sang, Caili
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Eigenvalues
Hadamard product
Inequalities
Lower bounds
M-matrix
Mathematical models
Mathematics
Mathematics and Statistics
minimum eigenvalue
nonnegative matrix
Recent Advances in Eigenvalues Estimates of Special Matrices (Tensors)
spectral radius
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Zusammenfassung:Several convergent sequences of the lower bounds for the minimum eigenvalue of M -matrices are given. It is proved that these sequences are monotone increasing and improve some existing results. Finally, numerical examples are given to show that these sequences are better than some known results and could reach the true value of the minimum eigenvalue in some cases.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-016-1062-8