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Lower eigenvalue bounds for pencils of matrices

✍ Scribed by Robert Beauwens

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
805 KB
Volume
85
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

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A lower bound is obta~e~ for the ejge~v~~es elf certain matrices arising from the applicatidn of the theory of : the symmetric groups CO the calculation of enegy for n-ekctron systems. .( '. '\_ . ## .f83 With'these defmitions (4) becomes

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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