Remarks on extreme eigenvalues of Toeplitz matrices
1988 ◽
Vol 11
(1)
◽
pp. 23-26
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Keyword(s):
Letfbe a nonnegative integrable function on[−π,π],Tn(f)the(n+1)×(n+1)Toeplitz matrix associated withfandλ1,nits smallest eigenvalue. It is shown that the convergence ofλ1,ntominf(0)can be exponentially fast even whenfdoes not satisfy the smoothness condition of Kac, Murdoch and Szegö (1953). Also a lower bound forλ1,ncorresponding to a large class of functions which do not satisfy this smoothness condition is provided.
2008 ◽
Vol 54
(10)
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pp. 4726-4731
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Keyword(s):
1992 ◽
Vol 111
(2)
◽
pp. 273-281
◽
1986 ◽
Vol 41
(2)
◽
pp. 152-164
Keyword(s):
1988 ◽
Vol 12
(3)
◽
pp. 129-132
Keyword(s):
1988 ◽
Vol 34
(2)
◽
pp. 352-355
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