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On a device for computing the $ e\sb m(S\sb n)$ tranformation


Author: P. Wynn
Journal: Math. Comp. 10 (1956), 91-96
MSC: Primary 40.0X
DOI: https://doi.org/10.1090/S0025-5718-1956-0084056-6
MathSciNet review: 0084056
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  • [1] R. J. Schmidt, On the numerical solution of linear simultaneous equations by an iterative method, Philos. Mag. (7) 32 (1941), 369–383. MR 0006231
  • [2] Daniel Shanks, Non-linear transformations of divergent and slowly convergent sequences, J. Math. and Phys. 34 (1955), 1–42. MR 0068901, https://doi.org/10.1002/sapm19553411
  • [3] A. C. Aitken, Determinants and Matrices, Oliver and Boyd, 6th Ed., 1949, Ch. V, p. 108, formula (2) and p. 49, formula (9).
  • [4] F. W. J. Olver, The evaluation of zeros of high-degree polynomials, Philos. Trans. Roy. Soc. London. Ser. A. 244 (1952), 385–415. MR 0049652, https://doi.org/10.1098/rsta.1952.0010
  • [5] D. Shanks, ``An analogy between transients and mathematical sequences and some non-linear sequence-to-sequence transforms suggested by it,'' Part I. Naval Ordnance Laboratory Memorandum 9994, White Oak, Md., 1949.
  • [6] E. T. Whittaker & G. Robinson, The Calculus of Observations, Blackie and Son Ltd., 4th Ed., Ch. XV, 1944, p. 369.

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DOI: https://doi.org/10.1090/S0025-5718-1956-0084056-6
Article copyright: © Copyright 1956 American Mathematical Society