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Eigenvalue distribution of Toeplitz matrices


Author: Paul G. Nevai
Journal: Proc. Amer. Math. Soc. 80 (1980), 247-253
MSC: Primary 15A18
DOI: https://doi.org/10.1090/S0002-9939-1980-0577753-2
MathSciNet review: 577753
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Abstract: A theorem of U. Grenander and G. Szegö on Toeplitz matrices is generalized. A new method is proposed for investigating eigenvalue distribution of Toeplitz matrices.


References [Enhancements On Off] (What's this?)

  • [1] P. Erdös and P. Turan, On interpolation. III, Ann. of Math. (2) 41 (1940), 510-553. MR 0001999 (1:333e)
  • [2] G. Freud, Orthogonale polynome, Akadémiai Kiadó, Budapest, 1969. MR 0481888 (58:1982)
  • [3] U. Grenander and G. Szegö, Toeplitz forms and their applications, Univ. of California Press, Berkeley and Los Angeles, 1958. MR 0094840 (20:1349)
  • [4] P. Nevai, Orthogonal polynomials, Mem. Amer. Math. Soc. No. 213, Amer. Math. Soc., Providence, R. I., 1979. MR 519926 (80k:42025)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0577753-2
Keywords: Toeplitz matrix, eigenvalue, orthogonal polynomials
Article copyright: © Copyright 1980 American Mathematical Society

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