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On the approximate computation of extreme eigenvalues and the condition number of nonsingular matrices

โœ Scribed by Lei Guang-yao


Publisher
Springer
Year
1992
Tongue
English
Weight
313 KB
Volume
13
Category
Article
ISSN
0253-4827

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On the extreme eigenvalues of hermitian
โœ Stefano Serra ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 758 KB

We are concerned with the behavior of the minimum (maximum) eigenvalue A~0 "~ (A~ "~) of an (n + 1) X (n + 1) Hermitian Toeplitz matrix T~(f) where f is an integrable real-valued function. Kac, Murdoch, and Szeg5, Widom, Patter, and R. H. Chan obtained that A}~ 0 -rain f = O(1/n 2k) in the case whe