Methods for Fitting Rational Approximations, Parts II and III

Subscribe (Full Service)


	Search: The ACM Digital Library The Guide

	Feedback

Methods for Fitting Rational Approximations, Parts II and III

Full text

Pdf (1.01 MB)

Source

Journal of the ACM (JACM) archive
Volume 10 , Issue 3 (July 1963) table of contents

Pages: 257 - 277

Year of Publication: 1963

ISSN:0004-5411

Author

Hans J. Maehly

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 9, Downloads (12 Months): 58, Citation Count: 7

Additional Information:

references cited by index terms collaborative colleagues

Tools and Actions:	Request Permissions Review this Article Save this Article to a Binder Display Formats: BibTeX EndNote ACM Ref

DOI Bookmark:	Use this link to bookmark this Article: http://doi.acm.org/10.1145/321172.321173 What is a DOI?

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	AemEZER,N. I. Lektii po teorii approksimatsii (Leningrad, 1947). Eng. Transl.: Theory off Approximation, Frederick Ungar Publ. Co., New "York, 1956.
	2	BARTH, W. Ein Iterationsverfahren zur Approximation durch Polynome. Z. angew. Math. Mech. 88 (1958), 258---260.
	3	Cecil Hastings, Approximations for Digital Computers, Princeton University Press, Princeton, NJ, 1955
	4	LANczos, C. Applied Analysis, pp. 457-463. Prentice Hall, Englewood Cliffs, N. J., 1956.
	5	W. Fraser , J. F. Hart, On the computation of rational approximations to continuous functions, Communications of the ACM, v.5 n.7, p.401-403, July 1962 [doi>10.1145/368273.368578]
	6	LoEB, H .L . A note on rational function approximation. Convair Astronautics Appl. Math. Ser. 27 (Sept. 1959).
	7	MAEtLY, H .J . First interim progress report on rational approximations. Princeton University Tech. Report, June 23, 1958.
	8	Hans J. Maehly, Methods for Fitting Rational Approximations, Part I: Telescoping Procedures for Continued Fractions, Journal of the ACM (JACM), v.7 n.2, p.150-162, April 1960 [doi>10.1145/321021.321026]
	9	AEtLY, H. J., AND WITZGALL, C. Tschebyseheff-Approximationen in kleinen Interv,tllen I, Approximation dureh Polynome. Numer. Math. 2 (1960), 142-150.
	10	---- ANn ...... . Tschebyscheff-Approximationen in kleinen Intervallen II , Stetigkeitssatze for gebrochen rationale Approximationen. Numer. Math. 2 (1960), 293-307.
	11	CGHNn, E. W., FRASER, W., ET AL. Handbook on Chebyshev Approximations. In preparation.
	12	MURNAGIIAN, F. D., AND WRENCH, J. W., JR. The approximation of differentiable functions by polynomials. David Taylor Model Basin Report 1175, April 1958.
	13	---- AND --. The determination of the Chebyshev approximating polynomial for a differentiable function. MTAC 13 (1959), 185--193.
	14	RIMES, E. Sur le ealcul effectif des polynomes d'approximation de Tehebichef. C. R. Acad. Sci. Paris. 199 (1934), 337-340.
	15	STOER, J. A direct method for the Chebychev approximation by rational functions. In preparation.
	16	TuKtY, J. W., AND THACHER, H. C., JR. Rational interpolation made easy by a recursive algori'hm. In preparation.
	17	VEIDINGER, L. On the numerical determination of the best approximation in the Chebyshev sense. Numer. Math. 2 (1960), 99-105.
	18	WITTEMVR, L. Rational approximation of empirical functions. Nordisk Tidskrift for Inf ormations-Behandlung 4 (1962), 53-60.
	19	WIrzG.L, C. Tschebyscheff-Approximationen in kteinen Intervallen III , Approximation dureh gebrochen rationale Functionen. In preparation.

CITED BY 7

	Charles B. Dunham, Convergence Problems in Maehly's Second Method: Part II, Journal of the ACM (JACM), v.13 n.1, p.108-113, Jan. 1966
	M. Klein, Rational approximation via minimax linear programming regression, Proceedings of the 1968 23rd ACM national conference, p.79-84, August 27-29, 1968
	I. Gargantini , T. Pomentale, Rational Chebyshev approximations to the Bessel function integrals Kis(x), Communications of the ACM, v.7 n.12, p.727-730, Dec. 1964
	Josef Stoer, A Direct Method for Chebyshev Approximation by Rational Functions, Journal of the ACM (JACM), v.11 n.1, p.59-69, Jan. 1964
	I. Gargantini, On the application of the process of equalization of maxima to obtain rational approximation to certain modified Bessel functions, Communications of the ACM, v.9 n.12, p.859-863, Dec. 1966
	Charles B. Dunham, Convergence Problems in Maehly's Second Method, Journal of the ACM (JACM), v.12 n.2, p.181-186, April 1965
	W. Fraser , J. F. Hart, Remark on algorithm 162: Near-minimax polynomial approximations and partitioning of intervals, Communications of the ACM, v.7 n.8, p.486-489, Aug. 1964