Remarks on extreme eigenvalues of Toeplitz matrices
Let f be a nonnegative integrable function on [−π,π], Tn(f) the (n+1)×(n+1) Toeplitz matrix associated with f and λ1,n its smallest eigenvalue. It is shown that the convergence of λ1,n to minf(0) can be exponentially fast even when f does not satisfy the smoothness condition of Kac, Murdoch and Szeg...
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| Aineistotyyppi: | Artikkeli |
| Kieli: | English |
| Julkaistu: |
Hindawi Limited
1988-01-01
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| Sarja: | International Journal of Mathematics and Mathematical Sciences |
| Aiheet: | |
| Linkit: | http://dx.doi.org/10.1155/S0161171288000055 |