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Bounds for the Extreme Zeros of Laguerre Polynomials

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Numerical Methods and Applications (NMA 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11189))

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Abstract

By applying well-known techniques such as the Gershgorin Circle Theorem and the Euler-Rayleigh method (the latter assisted by some computer algebra), we obtain new bounds for the extreme zeroes of the n-th Laguerre polynomial. It turns out that these bounds are competitive to some of the known best bounds.

Supported by the Bulgarian National Research Fund under Contract DN 02/14 and by the Sofia University Research Fund under Contract 80-10-139/2018.

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Author information

Authors and Affiliations

  1. Faculty of Mathematics and Informatics, Sofia University “St. Kliment Ohridski”, 5, James Bourchier blvd., 1164, Sofia, Bulgaria

    Geno Nikolov & Rumen Uluchev

Authors
  1. Geno Nikolov
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  2. Rumen Uluchev
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Corresponding author

Correspondence to Rumen Uluchev .

Editor information

Editors and Affiliations

  1. Sofia University “St. Kliment Ohridski”, Sofia, Bulgaria

    Geno Nikolov

  2. Bulgarian Academy of Sciences, Sofia, Bulgaria

    Natalia Kolkovska

  3. Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir Georgiev

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Nikolov, G., Uluchev, R. (2019). Bounds for the Extreme Zeros of Laguerre Polynomials. In: Nikolov, G., Kolkovska, N., Georgiev, K. (eds) Numerical Methods and Applications. NMA 2018. Lecture Notes in Computer Science(), vol 11189. Springer, Cham. https://doi.org/10.1007/978-3-030-10692-8_27

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  • DOI: https://doi.org/10.1007/978-3-030-10692-8_27

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-10691-1

  • Online ISBN: 978-3-030-10692-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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