A unified process for the evaluation of the zeros of polynomials over the complex number field

Author:
John I. Derr

Journal:
Math. Comp. **13** (1959), 29-36

MSC:
Primary 65.00

DOI:
https://doi.org/10.1090/S0025-5718-1959-0104342-3

MathSciNet review:
0104342

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References | Similar Articles | Additional Information

**[1]**E. Bodewig, ``On Types of Convergence and on the Behavior of Approximations in the Neighborhood of a Multiple Root of an Equation,''*Quarterly of Applied Mathematics*, Volume VII, p. 325-333. MR**0031326 (11:136d)****[2]**R. A. Brooker, ``The Solution of Algebraic Equations on the EDSAC,'' Proceedings of the Cambridge Philosophical Society, Vol. 48, 1952. MR**0046138 (13:691e)****[3]**Saul Gorn, ``Real Solutions of Numerical Equations by High-Speed Machines,'' BRL Report No. 966, October, 1955.**[4]**Frank L. Hitchcock, ``An Improvement on the G.C.D. Method for Complex Roots,''*Journal of Math and Physics*, v. 23, 1944. MR**0010657 (6:50k)****[5]**Morris Marden, ``The Geometry of the Zeros of a Polynomial in a Complex Variable,'' American Math. Society Survey III, N. Y., 1949. MR**0031114 (11:101i)****[6]**David E. Muller, ``A Method for Solving Algebraic Equations Using an Automatic Computer,*Mathematical Tables and Other Aids to Computation*,'' v. 10, 1956. MR**0083822 (18:766e)****[7]**F. W. J. Olver, ``Evaluation of Zeros of High-Degree Polynomials,''*Philosophical Transactions*of the Royal Society of London, Volume 244, April 3, 1952. MR**0049652 (14:209f)****[8]**A. N. Ostrowski, ``Lectures on Solutions of Equations and Systems of Equations,'' NBS Working Paper, June 11, 1952.

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DOI:
https://doi.org/10.1090/S0025-5718-1959-0104342-3

Article copyright:
© Copyright 1959
American Mathematical Society