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Some modifications of Laguerre's method

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Abstract

Two modifications of Laguerre's method are given. They define methods for simultaneously approximating all the zeros of a given polynomial. The asymptotic behavior of the methods is studied. The possibilities of both sequential and parallel implementations of the methods are considered.

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Author information

Authors and Affiliations

  1. Eldon Hansen Lockheed Palo Alto Research Laboratory, Palo Alto, California, USA

    E. Hansen, M. Patrick & J. Rusnak

  2. Merrell Patrick and Joseph Rusnak Department of Computer Science, Duke University, Durham, N.C., USA

    E. Hansen, M. Patrick & J. Rusnak

Authors
  1. E. Hansen
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  2. M. Patrick
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  3. J. Rusnak
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Additional information

This research was supported by the National Science Foundation under grant number NSF-DCR-74-10042.

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Hansen, E., Patrick, M. & Rusnak, J. Some modifications of Laguerre's method. BIT 17, 409–417 (1977). https://doi.org/10.1007/BF01933450

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  • DOI: https://doi.org/10.1007/BF01933450

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