A numerical method for locating the zeros of an analytic function

Authors:
L. M. Delves and J. N. Lyness

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

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References | Similar Articles | Additional Information

**[1]**P. Henrici & B. O. Watkins, "Finding zeros of a polynomial by the Q-D algorithm,"*Comm. ACM*, v. 8, 1965, pp. 570-574. MR**31**#4172. MR**0179935 (31:4172)****[2]**D. H. Lehmer, "The Graeffe process as applied to power series,"*MTAC*, v. 1, 1945, pp. 377-383. MR**7**, 84. MR**0012913 (7:84a)****[3]**D. H. Lehmer, "A machine method for solving polynomial equations,"*J. Assoc. Comput. Mach.*, v. 8, 1961, pp. 151-162.**[4]**R. D. Low, "On the first positive zero of , considered as a function of ,"*Math. Comp.*, v. 20, 1966, pp. 421-24.**[5]**J. N. Lyness & L. M. Delves, "On numerical contour integration round a closed contour,"*Math. Comp.*, v. 21, 1967, pp. 561-577. MR**0229388 (37:4962)****[6]**J. N. Lyness & C. B. Moler, "Numerical differentiation of analytic functions,"*J. SIAM Numer. Anal.*, v. 4, 1967, pp. 202-210. MR**0214285 (35:5136)****[7]**F. W. J. Olver, "The evaluation of zeros of high-degree polynomials,"*Phil. Trans. Roy. Soc.*A, v. 244, 1952, pp. 385-415. MR**14**, 209. MR**0049652 (14:209f)****[8]**H. Rutishauser, "Der Quotienten-Differenzen-Algorithmus,"*Z. Angew. Math. Phys.*, v. 5, 1954, pp. 233-251. MR**16**, 176. MR**0063763 (16:176c)****[9]**J. H. Wilkinson,*Rounding Errors in Algebraic Processes*, Prentice-Hall, Englewood Cliffs, N. J., 1963. MR**28**#4661. MR**0161456 (28:4661)**

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DOI:
https://doi.org/10.1090/S0025-5718-1967-0228165-4

Article copyright:
© Copyright 1967
American Mathematical Society