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- Math. Comp. 2 (1946), 55-61 Request permission
Corrigendum: Math. Comp. 2 (1947), 228.
Corrigendum: Math. Comp. 2 (1946), 95-96.
References
- See E. T. Whittaker & G. Robinson, The Calculus of Observations, third ed., London, 1940.
- D. H. Lehmer, The Graeffe process as applied to power series, Math. Tables Aids Comput. 1 (1945), 377–383. MR 12913, DOI 10.1090/S0025-5718-1945-0012913-8 C. Runge & H. König, Vorlesungen über numerisches Rechnen, Berlin, 1924. The method was given earlier in C. Runge, Praxis der Gleichungen (Sammlung Schubert), Leipzig, 1900. S. Brodetsky & G. Smeal, “On Graeffe’s method for complex roots of algebraic equations,” Camb. Phil. So., Proc., v. 22, 1924, p. 83f. A. Ostrowski, “Sur la continuité relative des racines d’équations algébriques,” Académie d. Sci., Paris, Comptes Rendus, v. 209, 1939, p. 777f, has illustrated this very forcibly by comparison of ${z^4} - 4{z^3} + 6{z^2} - 4z + 1 = 0$, roots 1, 1, 1, 1; with ${z^4} - 4{z^3} + 5.999951{z^2} - 4z + 1 = 0$, roots 1.0872, .9198, .9965 $\pm$ .0836i.
- Shih-nge Lin, A method for finding roots of algebraic equations, J. Math. Phys. Mass. Inst. Tech. 22 (1943), 60–77. MR 8709, DOI 10.1002/sapm194322160
- A. P. Hillman and H. E. Salzer, Roots of $\sin z=z$, Philos. Mag. (7) 34 (1943), 575. MR 8710
Additional Information
- © Copyright 1946 American Mathematical Society
- Journal: Math. Comp. 2 (1946), 55-61
- DOI: https://doi.org/10.1090/S0025-5718-46-99631-7