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Book Review
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Book Information
Author(s):
Jet Wimp
Title:
Sequence transformations and their applications
Additional book information:
Mathematics in Science and Engineering, vol. 154, Academic Press, 1981, xix + 257 pp., $38.50. ISBN 0-12-757940-0
References:
- 1.
- R. P. Boas, Estimating remainders, Math. Magazine 51 (1978), 83-89. MR 612186
- 2.
- C. Brezinski, Accélération de la convergence en analyse numérique, Lecture Notes in Math., vol. 584, Springer-Verlag, Berlin and New York, 1977. MR 455266
- 3.
- C. Brezinski, Algorithmes d'accélération de la convergence: Etude numérique, Editions Technip, Paris, 1978. MR 511657
- 4.
- P. Calabrese, A note on alternating series, Amer. Math. Monthly 69 (1962), 215-217; repr. in Selected Papers in Calculus, 1968, pp. 352-353. MR 1531588
- 5.
- B. Germain-Bonne, Transformations de suites, Rev. Française Automat. Informat. Recherche Opérationnelle 7 (1973), 84-94. MR 356440
- 6.
- B. Germain-Bonne, Thesis, Univ. des Sciences et Techniques de Lille, 1978.
- 7.
- T. Havie, Generalized neville type extrapolation schemes, BIT 19 (1979), 204-213. MR 537780
- 8.
- R. L. Higgins, Thesis, Drexel Univ., 1976.
- 9.
- R. Johnsonbaugh, Summing an alternating series, Amer. Math. Monthly 86 (1979), 637-648. MR 546176
- 10.
- E. E. Kummer, Eine neue methode, die numerischen summen langsam convergirenden reihen zu berechnen, J. Reine Angew. Math. 16 (1837), 206-214.
- 11.
- M. A. Pinsky, Averaging an alternating series, Math. Magazine 51 (1978), 235-237. MR 506726
- 12.
- D. F. Riddle, Calculus and analytic geometry (2nd ed.), Wadsworth, Belmont, California, 1974.
- 13.
- J. R. Schmidt, Philos. Mag. 32 (1941), 369-383. MR 6231
- 14.
- D. Shanks, Non-linear transformations of divergent and slowly convergent sequences, J. Math. Phys. 34 (1955), 1-42. MR 68901
- 15.
- W. F. Trench, An algorithm for the inversion of finite Hankel matrices, Siam. J. Appl. Math. 13 (1965), 1102-1107. MR 189232
- 16.
- R. R. Tucker, Thesis, Oregon State University, 1963.
- 17.
- R. R. Tucker, The δ, Pacific J. Math. 22 (1967), 349-359. MR 218780
- 18.
- R. R. Tucker, The δ. II, Pacific J. Math. 28 (1969), 455-463. MR 243220
- 19.
- R. R. Tucker, A general theory of alternating series, 1986 (in preparation).
Additional Information:
Reviewer(s):
Richard R.
Tucker
Review Information:
Journal:
Bull. Amer. Math. Soc.
15
(1986),
245-252.
DOI:
10.1090/S0273-0979-1986-15494-7
PII:
S 0273-0979(1986)15494-7
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