Symbolic Computation of Padé Approximants

Subscribe (Full Service)


	Search: The ACM Digital Library The Guide

	Feedback

Symbolic Computation of Padé Approximants

Full text

Pdf (890 KB)

Source

ACM Transactions on Mathematical Software (TOMS) archive
Volume 5 , Issue 2 (June 1979) table of contents

Pages: 218 - 233

Year of Publication: 1979

ISSN:0098-3500

Author

K. O. Geddes

Department of Computer Science, University of Waterloo, Waterloo, Ont, Canada N2L 3G1

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 4, Downloads (12 Months): 29, Citation Count: 1

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/10.1145/355826.355835 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	BAKER, G.A., AND GAMMEL, J.L. The Padd Approxtmant in Theoretwal Physws Academic Press, New York, 1970.
	2	BAREISS, E.H Sylvester's identity and multistep integer-preserving Gausslan ehmmation Math. Comp 22 (1968), 565-578.
	3	BIRKI-IOFF, G, AND BARTEE, T C. Modern Apphed Algebra. McGraw-Hill, New York, 1970
	4	BUNCH, J.R, AND PARLETT, B.N. Direct methods for solving symmetric mdefimte systems of hnear equations. SIAM J Numer Anal. 8 (1971), 639-655.
	5	Fox, L. An Introductzon to Numerical Linear Algebra Oxford U Press, London, 1964.
	6	GANTMACHER, F.R. The Theory of Matrwes, Vol. 2. Chelsea, New York, 1959.
	7	Keith Oliver Geddes, Algorithms for analytic approximation (to a formal power-series)., 1973
	8	GEDDES, K O. An ALTRAN implementation of the fraction-free Pad~ algorithm Res. Rep. CS- 78-10, U. of Waterloo, Canada, Feb. 1978
	9	GRAGG, W B The Pad~ table and its relation to certain algorithms of numerical analysis SIAM Rev. 14 (1972), 1-62.
	10	LiPSON, J.D Symbolic methods for the computer solution of linear equations with apphcatlons to flowgraphs. IBM Programming Lab. Rep. FSC69-0312, Proc. 1968 Summer Institute on Symbolic Mathematical Computat,on, R.G. Tobey, Ed., pp. 233-303.
	11	A. C. Norman, Computing with Formal Power Series, ACM Transactions on Mathematical Software (TOMS), v.1 n.4, p.346-356, Dec. 1975 [doi>10.1145/355656.355660]
	12	WALL, H S Analytic Theory of Continued Fractions Van Nostrand, New York, 1948.
	13	WYNN, P The rational approxlmahon of functions which are formally defined by a power series expansion. Math. Comp 14 (1960), 147-186.
	14	Richard E. Zippel, Univariate power series expansions in algebraic manipulation, Proceedings of the third ACM symposium on Symbolic and algebraic computation, p.198-208, August 10-12, 1976, Yorktown Heights, New York, United States [doi>10.1145/800205.806335]