Some new bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and an inverse M-matrix

Some new bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and an inverse M-matrix

Let A and B be nonsingular M -matrices. Several new bounds on the minimum eigenvalue for the Hadamard product of B and the inverse matrix of A are given. These bounds can improve considerably some previous results. MSC: 15A42, 15B34.

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Veröffentlicht in:Journal of inequalities and applications 2013-11, Vol.2013 (1), Article 480
Hauptverfasser: Li, Yao-tang, Wang, Feng, Li, Chao-qian, Zhao, Jian-xing
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Mathematics
Mathematics and Statistics
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Zusammenfassung:Let A and B be nonsingular M -matrices. Several new bounds on the minimum eigenvalue for the Hadamard product of B and the inverse matrix of A are given. These bounds can improve considerably some previous results. MSC: 15A42, 15B34.
ISSN:1029-242X
1029-242X
DOI:10.1186/1029-242X-2013-480