Computing with Formal Power Series

Subscribe (Full Service)


	Search: The ACM Digital Library The Guide

	Feedback

Computing with Formal Power Series

Full text

Pdf (685 KB)

Source

ACM Transactions on Mathematical Software (TOMS) archive
Volume 1 , Issue 4 (December 1975) table of contents

Pages: 346 - 356

Year of Publication: 1975

ISSN:0098-3500

Author

A. C. Norman

University Computer Laboratory, Corn Exchange Street, Cambridge, CB2 3QG, England

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 1, Downloads (12 Months): 34, Citation Count: 9

Additional Information:

references cited by index terms collaborative colleagues peer to peer

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/10.1145/355656.355660 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	BARTON, D , AND :FITCH, J.P. Reports on Progress ~n Physics 35, 3 (1972), 235-314.
	2	BARTON, O., WILLERS, I.M., AND ZAHAR, R.V.M. The automatic solution of systems of ordinary differential equations by the method of Taylor series. In Best Computer Papers of 1971, O.R. Petrocelli, Ed., Auerbach Pubhshers, Inc., Philadelphia, Pa., 1971, pp. 147-163.
	3	S. R. Bourne , J. R. Horton, The design of the Cambridge algebra system, Proceedings of the second ACM symposium on Symbolic and algebraic manipulation, p.134-143, March 23-25, 1971, Los Angeles, California, United States [doi>10.1145/800204.806278]
	4	BROWN, W.S. ALTRAN User's Manual, Bell Labs., 1971.
	5	W. Morven Gentleman, Experience with truncated power series, ACM SIGSAM Bulletin, v.8 n.3, p.61-62, August 1974 [doi>10.1145/1086837.1086846]
	6	GRIESMER, J., AND JENKS, R.D. Experience with an on-hne symbohc mathematics system. In Proc. ONLINE 72, Vol. I, Brunel U, Uxbridge, Middx., England, 1972, pp. 457-476.
	7	KoPAL, Z. Numerwal Analys~s. Wiley, New York, 1955.
	8	Arthur C. Norman, A system for the solution of initial and two-point boundary value problems, Proceedings of the ACM annual conference, p.826-834, August 01-01, 1972, Boston, Massachusetts, United States [doi>10.1145/800194.805866]
	9	NORMAN, A.C. Expanding the solutions of implicit sets of ordinary differential equations in power series. Computer J., to appear; Rep. RC 4903, IBM Corp., Yorktown Heights, N.Y., 1974.
	10	SILVER, A., AND SULLIVAN, E. The numerical solution of ordinary differential equations by the Taylor series method. Doc. X-641-73-202, Goddard Space Flight Center, Greenbel(, Md., 1973.
	11	Z{PPEL, R. Power serms expansion in MACSYMA. Presented at Mathematical Software II, a conference held at Purdue U., West Lafayette, Ind., May 29-31, 1974.

CITED BY 9

	B. F. Caviness , H. I. Epstein, A note on the complexity of algebraic differentiation, ACM SIGSAM Bulletin, v.11 n.3, p.4-6, August 1977
	James H. Griesmer , Richard D. Jenks, The SCRATCHPAD system, Proceedings of the 1975 annual conference, p.266-267, January 1975
	J. Padget , A. Barnes, Univariate power series expansions in REDUCE, Proceedings of the international symposium on Symbolic and algebraic computation, p.82-87, August 20-24, 1990, Tokyo, Japan
	John D. Lipson, Newton's method: a great algebraic algorithm, Proceedings of the third ACM symposium on Symbolic and algebraic computation, p.260-270, August 10-12, 1976, Yorktown Heights, New York, United States
	K. O. Geddes, Symbolic Computation of Padé Approximants, ACM Transactions on Mathematical Software (TOMS), v.5 n.2, p.218-233, June 1979
	R. J. Bradford , A. C. Hearn , J. A. Padget , E. Schrüfer, Enlarging the REDUCE domain of computation, Proceedings of the fifth ACM symposium on Symbolic and algebraic computation, p.100-106, July 21-23, 1986, Waterloo, Ontario, Canada
	Joris Van der Hoeven, Relax, but don't be too lazy, Journal of Symbolic Computation, v.34 n.6, p.479-542, December 2002
	R. P. Brent , H. T. Kung, Fast Algorithms for Manipulating Formal Power Series, Journal of the ACM (JACM), v.25 n.4, p.581-595, Oct. 1978
	James H. Davenport, Equality in computer algebra and beyond, Journal of Symbolic Computation, v.34 n.4, p.259-270, October 2002