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An efficient algorithm for infallible polynomial complex root isolation

Published:01 August 1992Publication History
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References

  1. 1.G. E. Collins. infallible calculation of polynomial zeros to specified precision. Mathemattcal Soft. ware, Academic Press, New York, pages 35-68, 1977.Google ScholarGoogle Scholar
  2. 2.Jeremy R. Johnson. Algorithms for polynomial real root isolation. Technical Research Report OSU- CISRC-8/91-TR21, The Ohio State University, 2036 Neil Avenue Mall, Columbus, Ohio 43210, Phone: 614-292-5813, 1991.Google ScholarGoogle Scholar
  3. 3.D. It. Lehmer. A machine method for solving polynomial equations, j.A.C.M., 8(2):151-162, April 1961. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. 4.Morris Uarden. The geometry of the zeros of a polynomial zn a complex vamable. American Mathematical Society, New York, 1949.Google ScholarGoogle Scholar
  5. 5.J. R. Pinkert. Algebraic algomthms for computing the complex zeros of Gauss~an polynomzals. PhD thesis, University of Wisconsin, 1973. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. 6.J. R. Pinkert. An exact method for finding the complex roots of a complex polynomial. Technical Report CS-75-4, University of Tennessee, Computer Science Department, 1975. Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. 7.james R. Pinkert. An exact method for finding the roots of a complex polynomial. ACM Transactions on Mathematical Software, 2(4):351-363, December 1976. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. 8.Herbert S. Wilf. A global bisection algorithm for computing the zeros of polynomials in the complex plane. J.A.C.M., 25(3):415-420, July 1978. Google ScholarGoogle ScholarDigital LibraryDigital Library

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        cover image ACM Conferences
        ISSAC '92: Papers from the international symposium on Symbolic and algebraic computation
        August 1992
        406 pages
        ISBN:0897914899
        DOI:10.1145/143242

        Copyright © 1992 ACM

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        Publication History

        • Published: 1 August 1992

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