On a device for computing the 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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References | Similar Articles | Additional Information

**[1]**J. R. Schmidt, ``On the numerical solution of linear simultaneous equations by an iterative method,''*Phil. Mag.*, Ser. 7, v. 32, 1941, p. 369-383. MR**0006231 (3:276d)****[2]**D. Shanks, ``Non-linear transformations of divergent and slowly convergent sequences,''*J. Math. and Physics*, v. 34, 1955, p. 1-42. MR**0068901 (16:961e)****[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,'' Roy. Soc. Phil.,*Trans.*, v. 244, 1952, p. 385-415. MR**0049652 (14:209f)****[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