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Eigenvalue bounds and inequalities using vector aggregation of matrices

✍ Scribed by L.Yu. Kolotilina

Book ID
104156168
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
976 KB
Volume
271
Category
Article
ISSN
0024-3795

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Eigenvalue bounds for some classes of P-
Eigenvalue bounds for some classes of P-matrices
✍ J. M. PeΓ±a πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 110 KB

## Abstract Eigenvalue bounds are provided. It is proved that the minimal eigenvalue of a __Z__‐matrix strictly diagonally dominant with positive diagonals lies between the minimal and the maximal row sums. A similar upper bound does not hold for the minimal eigenvalue of a matrix strictly diagonal