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Proceedings of the American Mathematical Society

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Small eigenvalues of large Hankel matrices


Authors: Harold Widom and Herbert Wilf
Journal: Proc. Amer. Math. Soc. 17 (1966), 338-344
MSC: Primary 65.40
DOI: https://doi.org/10.1090/S0002-9939-1966-0189237-7
Erratum: Proc. Amer. Math. Soc. 19 (1968), 1508-1509.
Erratum: Proc. Amer. Math. Soc. 19 (1968), 1508.
MathSciNet review: 0189237
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  • [1] Ja. L. Geronimus, Polynomials orthogonal on a circle and interval, Translated from the Russian by D. E. Brown; edited by Ian N. Sneddon. International Series of Monographs on Pure and Applied Mathematics, Vol. 18, Pergamon Press, New York-Oxford-London-Paris, 1960. MR 0133642
  • [2] G. Szegö, Orthogonal polynomials, rev. ed., Amer. Math. Soc. Colloq. Publ., Vol. 23, Amer. Math. Soc., Providence, R. I., 1959.
  • [3] John Todd, The condition of the finite segments of the Hilbert matrix, Contributions to the solution of systems of linear equations and the determination of eigenvalues, National Bureau of Standards Applied Mathematics Series No. 39, U. S. Government Printing Office, Washington, D. C., 1954, pp. 109–116. MR 0068304

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DOI: https://doi.org/10.1090/S0002-9939-1966-0189237-7
Article copyright: © Copyright 1966 American Mathematical Society