Algebra of Polynomials in Several Variables for a Digital Computer

Subscribe (Full Service)


	Search: The ACM Digital Library The Guide

	Feedback

Algebra of Polynomials in Several Variables for a Digital Computer

Full text

Pdf (843 KB)

Source

Journal of the ACM (JACM) archive
Volume 9 , Issue 1 (January 1962) table of contents

Pages: 29 - 40

Year of Publication: 1962

ISSN:0004-5411

Author

Leland H. Williams

Duke University, Durham, North Carolina

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 4, Downloads (12 Months): 27, Citation Count: 5

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/10.1145/321105.321109 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	BoCHER, M. Introduction to Higher Algebra. New York, 1907.
	2	HOUSEOUER, A.S. Principles of Numerical Analysis, Ch. 1. New York, t953.
	3	Koing, J. Einleitung in die allgetneine Theorie der algebraischen GrSszen. Leipzig, 1903.
	4	John McCarthy, Recursive functions of symbolic expressions and their computation by machine, Part I, Communications of the ACM, v.3 n.4, p.184-195, April 1960 [doi>10.1145/367177.367199]
	5	NEWELL, A.; Sinew, J. C.; AND SION, H. A. Empirical explorations of the logic theory machine: a case study in heuristic. Proc. Western Joint Comput. Conf., (Feb. 1957), 218-230.
	6	A. J. Perlis , Charles Thornton, Symbol manipulation by threaded lists, Communications of the ACM, v.3 n.4, p.195-204, April 1960 [doi>10.1145/367177.367202]
	7	RiTT, J. F. Difrential Equations from the Algebraic Standpoint. AMS Colloq. Publ. Vol. 14, New York, 1932.
	8	Differential Algebra. AMS Colioq. Publ. Vol. 33, New York, 1950.
	9	vax PER WaERDFEN, B. L. (Tr. by T. J. Benac). Modern, Algebra, Vol. II. New York, 1950.
	10	WILF, H.W. The numerical solution of polynomial equations. In A. Ralston and H. S. Will (eds.), Mathematical Methods for Digital Computers, Ch. 21, 233-241.

CITED BY 5

	Joel Moses, Solutions of systems of polynomial equations by elimination, Communications of the ACM, v.9 n.8, p.634-637, Aug. 1966
	Kenneth Hartt, Some Analytical Procedures for Computers and Their Applications to a Class of Multidimensional Integrals, Journal of the ACM (JACM), v.11 n.4, p.416-421, Oct. 1964
	George E. Collins, Subresultants and Reduced Polynomial Remainder Sequences, Journal of the ACM (JACM), v.14 n.1, p.128-142, Jan. 1967
	S. Y. Ku , R. J. Adler, Computing polynomial resultants: Bezout's determinant vs. Collins' reduced P.R.S. algorithm, Communications of the ACM, v.12 n.1, p.23-30, Jan. 1969
	Jean E. Sammet, Survey of formula manipulation, Communications of the ACM, v.9 n.8, p.555-569, Aug. 1966