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On a Newton-Moser type method. (English) Zbl 0309.65020

MSC:
65H10 Numerical computation of solutions to systems of equations
65Z05 Applications to the sciences
47J05 Equations involving nonlinear operators (general)
70B99 Kinematics
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References:
[1] Cooley, J. W., Lewis P. A. W., Welch, P. D.: The fast Fourier transform algorithm and its applications. Research Report RC 1743. IBM Watson Research Center, Yorktown Heights, New York, 1967. A revised version will appear as a book · Zbl 0358.42009
[2] Goldstein, H.: Classical mechanics. Reading, Massachusetts: Addison-Wesley 1964 · Zbl 0043.18001
[3] Isaacson, E., Keller, H. B.: Analysis of numerical methods. New York: John Wiley & Sons, Inc. 1966 · Zbl 0168.13101
[4] Moser, J.: Stable and random motions in dynamical systems with special emphasis on celestial mechanics. Herman Weyl Lectures, Annals of Mathematics Studies, no. 77. Princeton, New Jersey: Princeton University Press 1973 · Zbl 0271.70009
[5] Ortega, J. M., Rheinboldt, W. C.: Iterative solution of nonlinear equations in several variables. New York: Academic Press 1970 · Zbl 0241.65046
[6] Rüssmann, H.: Kleine Nenner. II. Bemerkungen zur Newtonschen Methode. Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II, 1-10 (1972) · Zbl 0255.30003
[7] Singleton, R. C.: Algorithm 338, Algol procedures for the fast Fourier transform. Comm. ACM11, 773-776 (1968) · doi:10.1145/364139.364167
[8] Singleton, R. C.: On computing the fast Fourier transform. Comm. ACM10, 647-654 (1967) · Zbl 0149.37301 · doi:10.1145/363717.363771
[9] Strassen, N.: Gaussian elimination is not optimal. Numer. Math.13, 354-356 (1969) · Zbl 0185.40101 · doi:10.1007/BF02165411
[10] Traub, J. F.: Iterative methods for the solution of equations. Englewood Cliffs, New Jersey: Prentice-Hall, Inc. 1964 · Zbl 0121.11204
[11] Winograd, S.: A new algorithm for inner product. Research Report RC 1943, IBM Watson Research Center, Yorktown Heights, New York, 1967 · Zbl 0174.46703
[12] Zehnder, E. J.: A remark about Newton’s method. Comm. Pure Appl. Math.27, 361-366 (1974) · Zbl 0286.65026 · doi:10.1002/cpa.3160270305
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