## Acceleration techniques for iterated vector and matrix problems.(English)Zbl 0105.10302

### Keywords:

numerical analysis
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 [1] P. Wynn, On a device for computing the \?_{\?}(\?_{\?}) tranformation, Math. Tables Aids Comput. 10 (1956), 91 – 96. · Zbl 0074.04601 [2] P. Wynn, The rational approximation of functions which are formally defined by a power series expansion, Math. Comput. 14 (1960), 147 – 186. · Zbl 0173.18803 [3] Daniel Shanks, Non-linear transformations of divergent and slowly convergent sequences, J. Math. and Phys. 34 (1955), 1 – 42. · Zbl 0067.28602 [4] Thomas Jan Stieltjes, Recherches sur les fractions continues, Ann. Fac. Sci. Toulouse Math. (6) 4 (1995), no. 3, J76 – J122 (French). Reprint of Ann. Fac. Sci. Toulouse 8 (1894), J76 – J122. · Zbl 0861.01036 [5] P. Wynn, The numerical transformation of slowly convergent series by methods of comparison. I, Chiffres 4 (1961), 177 – 210. · Zbl 0113.04601 [6] P. Wynn, On repeated application of the \?-algorithm, Chiffres 4 (1961), 19 – 22. · Zbl 0102.33301 [7] F. L. Bauer, Connections between the q-d algorithm of Rutishauser and the $$\epsilon$$-algorithm of Wynn, A technical report prepared under the sponsorship of the Deutsche Forschungsgemeinschaft, Project No. BA:106, Nov. 1957. [8] R. J. Schmidt, On the numerical solution of linear simultaneous equations by an iterative method, Philos. Mag. (7) 32 (1941), 369 – 383. · Zbl 0061.27109 [9] E. Bodewig, A practical refutation of the iteration method for the algebraic eigenproblem, Math. Tables and Other Aids to Computation 8 (1954), 237 – 240. · Zbl 0056.11703 [10] J. Morris, An escalator process for the solution of linear simultaneous equations, Philos. Mag. (7) 37 (1946), 106 – 120. · Zbl 0061.27101 [11] E. R. Love, The electrostatic field of two equal circular co-axial conducting disks, Quart. J. Mech. Appl. Math. 2 (1949), 428 – 451. · Zbl 0040.12105 [12] L. Fox and E. T. Goodwin, The numerical solution of non-singular linear integral equations, Philos. Trans. Roy. Soc. London. Ser. A. 245 (1953), 501 – 534. · Zbl 0050.12902 [13] A. C. Aitken, “On Bernoulli’s numerical solution of algebraic equations,” Proc. Roy. Soc. Edinburgh, v. 46, 1926, p. 287. · JFM 52.0098.05 [14] F. G. Friedlander, The reflexion of sound pulses by convex parabolic reflectors, Proc. Cambridge Philos. Soc. 37 (1941), 134 – 149. · Zbl 0028.25502 [15] C. W. Clenshaw & F. W. J. Olver, “Solution of differential equations by recurrence relations,” MTAC, v. 5, 1951, p. 34. · Zbl 0045.06701 [16] L. Fox and E. T. Goodwin, Some new methods for the numerical integration of ordinary differential equations, Proc. Cambridge Philos. Soc. 45 (1949), 373 – 388. · Zbl 0033.28701 [17] L. Fox & J. C. P. Miller, “Table making for large arguments, the exponential integral,” MTAC, v. 5, 1951, p. 163. · Zbl 0044.33301 [18] R. A. Buckingham, Numerical Methods, Pitman, London, 1957, p. 504-505. [19] D. R. Hartree, Numerical analysis, Oxford, at the Clarendon Press, 1952. · Zbl 0049.35905 [20] P. Wynn, Singular rules for certain non-linear algorithms, Nordisk Tidskr. Informations-Behandling 3 (1963), 175 – 195. · Zbl 0123.11101 [21] Robert Sauer, Einführung in die theoretische Gasdynamik, Springer-Verlag, Berlin, Göttingen, Heidelberg, 1951 (German). 2d ed. · Zbl 0028.02603 [22] C. Lanczos, Linear systems in self-adjoint form, Amer. Math. Monthly 65 (1958), 665 – 679. · Zbl 0083.00604 [23] P. Wynn, Note on the solution of a certain boundary-value problem, Nordisk Tidskr. Informations-Behandling 2 (1962), 61 – 64. · Zbl 0105.32103
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