Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities
β Scribed by Deift, Percy (author);Its, Alexander (author);Krasovsky, Igor (author)
- Book ID
- 120183840
- Publisher
- Princeton University
- Year
- 2011
- Tongue
- English
- Weight
- 735 KB
- Volume
- 174
- Category
- Article
- ISSN
- 0003-486X
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π SIMILAR VOLUMES
Let c be a function defined on the unit circle with Fourier coefficients [c n ] n=& . The Fisher Hartwig conjecture describes the asymptotic behaviour of the determinants of the n\_n Toeplitz matrices for a certain class of functions c. In this paper we prove this conjecture in the case of function
Recently, Lu and Hurvich [Y. Lu, C. Hurvich, On the complexity of the preconditioned conjugate gradient algorithm for solving toeplitz systems with a Fisher-Hartwig singularity, SIAM J. Matrix Anal. Appl. 27 (2005) 638-653] used the preconditioned conjugate gradient method with the optimal circulant