Polynomial iterations to roots of algebraic equations

Householder, Alston S.

doi:10.1090/S0002-9939-1951-0043261-2

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Polynomial iterations to roots of algebraic equations
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by Alston S. Householder

Proc. Amer. Math. Soc. 2 (1951), 718-719

DOI: https://doi.org/10.1090/S0002-9939-1951-0043261-2

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References

D. R. Blaskett and H. Schwerdtfeger, A formula for the solution of an arbitrary analytic equation, Quart. Appl. Math. 3 (1945), 266–268. MR 13918, DOI 10.1090/S0033-569X-1945-13918-5
C. Domb, On iterative solutions of algebraic equations, Proc. Cambridge Philos. Soc. 45 (1949), 237–240. MR 29269, DOI 10.1017/s0305004100024774
E. Schröder, Ueber unendlich viele Algorithmen zur Auflösung der Gleichungen, Math. Ann. 2 (1870), no. 2, 317–365 (German). MR 1509664, DOI 10.1007/BF01444024