Algebra of Polynomials in Several Variables for a Digital Computer

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Algebra of Polynomials in Several Variables for a Digital Computer

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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

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Downloads (6 Weeks): 2, Downloads (12 Months): 30, Citation Count: 5

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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

	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
	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
	Joel Moses, Solutions of systems of polynomial equations by elimination, Communications of the ACM, v.9 n.8, p.634-637, Aug. 1966
	Jean E. Sammet, Survey of formula manipulation, Communications of the ACM, v.9 n.8, p.555-569, Aug. 1966
	George E. Collins, Subresultants and Reduced Polynomial Remainder Sequences, Journal of the ACM (JACM), v.14 n.1, p.128-142, Jan. 1967