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The perturbation bounds for eigenvalues of normal matrices

✍ Scribed by Wen Li; Weiwei Sun


Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
73 KB
Volume
12
Category
Article
ISSN
1070-5325

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## 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