Book Review
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MathSciNet review:
1567496
Full text of review:
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Book Information:
Authors:
J. F. Traub and
H. Wozniakowski
Title:
A general theory of optimal algorithms
Additional book information:
Academic Press, 1980, xiv + 341 pp., $36.00. ISBN 0-1269-7650-3.
P. M. Anselone and P. J. Laurent, A general method for the construction of interpolating or smoothing spline-functions, Numer. Math. 12 (1968), 66–82. MR 249904, DOI 10.1007/BF02170998
Michael Golomb and Hans F. Weinberger, Optimal approximation and error bounds, On numerical approximation. Proceedings of a Symposium, Madison, April 21-23, 1958, Publication of the Mathematics Research Center, U.S. Army, the University of Wisconsin, no. 1, University of Wisconsin Press, Madison, Wis., 1959, pp. 117–190. Edited by R. E. Langer. MR 0121970
C. A. Micchelli and T. J. Rivlin, A survey of optimal recovery, Optimal estimation in approximation theory (Proc. Internat. Sympos., Freudenstadt, 1976) Plenum, New York, 1977, pp. 1–54. MR 0617931
J. L. Synge (1948), The hypercircle in mathematical physics, Cambridge Univ. Press.
William E. Wecker and Craig F. Ansley, The signal extraction approach to nonlinear regression and spline smoothing, J. Amer. Statist. Assoc. 78 (1983), no. 381, 81–89. MR 696851
- P. M. Anselone and P. J. Laurent (1968), A general method for the construction of interpolating or smoothing spline functions, Numer. Math. 12, 66-82. MR 0249904
- M. Golomb and H. F. Weinberger (1959), Optimal approximation and error bounds, On Numerical Approximation (R. E. Langer, ed.), Univ. of Wisconsin Press, pp. 117-190. MR 121970
- C. A. Micchelli and T. J. Rivlin (1977), A survey of optimal recovery, Optimal Estimation in Approximation Theory (C. A. Micchelli and T. J. Rivlin, eds.), Plenum Press, pp. 1-54. MR 617931
- J. L. Synge (1948), The hypercircle in mathematical physics, Cambridge Univ. Press.
- W. E. Wecker and C. F. Ansley (1983), The signal extraction approach to nonlinear regression and spline smoothing, J. Amer. Statist. Assoc. 78, 81-89. MR 696851
Review Information:
Reviewer:
M. R. Osborne
Journal:
Bull. Amer. Math. Soc.
10 (1984), 323-325
DOI:
https://doi.org/10.1090/S0273-0979-1984-15270-4
