A numerical method for locating the zeros of an analytic function
HTML articles powered by AMS MathViewer
- by L. M. Delves and J. N. Lyness PDF
- Math. Comp. 21 (1967), 543-560 Request permission
References
- P. Henrici and Bruce O. Watkins, Finding zeros of a polynomial by the $\textrm {Q-D}$ algorithm, Comm. ACM 8 (1965), 570–574. MR 0179935, DOI 10.1145/365559.365619
- 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 D. H. Lehmer, "A machine method for solving polynomial equations," J. Assoc. Comput. Mach., v. 8, 1961, pp. 151–162. R. D. Low, "On the first positive zero of $P_{\gamma - 1/2}^{ - m}(\cos \theta )$, considered as a function of $\gamma$," Math. Comp., v. 20, 1966, pp. 421–24.
- J. N. Lyness and L. M. Delves, On numerical contour integration round a closed contour, Math. Comp. 21 (1967), 561–577. MR 229388, DOI 10.1090/S0025-5718-1967-0229388-0
- J. N. Lyness and C. B. Moler, Numerical differentiation of analytic functions, SIAM J. Numer. Anal. 4 (1967), 202–210. MR 214285, DOI 10.1137/0704019
- F. W. J. Olver, The evaluation of zeros of high-degree polynomials, Philos. Trans. Roy. Soc. London Ser. A 244 (1952), 385–415. MR 49652, DOI 10.1098/rsta.1952.0010
- Heinz Rutishauser, Der Quotienten-Differenzen-Algorithmus, Z. Angew. Math. Phys. 5 (1954), 233–251 (German). MR 63763, DOI 10.1007/bf01600331
- J. H. Wilkinson, Rounding errors in algebraic processes, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1963. MR 0161456
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Math. Comp. 21 (1967), 543-560
- MSC: Primary 65.50
- DOI: https://doi.org/10.1090/S0025-5718-1967-0228165-4
- MathSciNet review: 0228165