A three-stage variable-shift iteration for polynomial zeros and its relation to generalized rayleigh iteration

Author:

Jenkins M. A.,Traub J. F.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference13 articles.

1. Bauer, F. L.: Beiträge zur Entwicklung numerischer Verfahren für programmgesteuerte Rechenanlagen. II. Direkte Faktorisierung eines Polynoms. Bayer. Akad. Wiss. Math.-Nat. Kl. S.-B., 163–203 (1956).

2. —— Samelson, K.: Polynomkerne und Iterationsverfahren. Math. Z.67, 93–93 (1957).

3. Jenkins, M. A.: Three-stage variable-shift iterations for the solution of polynomial equations with a posteriori error bounds for the zeros. Stanford Dissertation, 1969

4. — — — A three-stage algorithm for real polynomials using quadratic iteration. To appear in SIAM Journal of Numerical Analysis.

5. —, —: An algorithm for an automatic general polynomial solver. Constructive aspects of the fundamental theorem of algebra, edited by Dejon and Henrici, p. 151–180. New York: Wiley-Interscience 1969

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