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On Euclid's Algorithm and the Theory of Subresultants

Published: 01 October 1971 Publication History
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References

[1]
KNUTH, D.E. The Art of Computer Programming, Vol. 2. Addison-Wesley, Reading, Mass., 1969.
[2]
BROWN, W.S. On Euclid's algorithm and the computation of polynomial greater.",mmmon divisors. Proc. 2nd Symposium on Symbolic and Algebraic Manipulation. ACM, New York, 1971, pp. 195--211; J. ACM I,? (Oct. 1971), 478-504.
[3]
COLLINS, G. E. Subresultants and reduced polynomial remainder sequences. J. ACM 14 (1967), 1.28-142.
[4]
BIRKHOFF, G., AND MACLANE, S. A Survey of Modern Algebra, 3rd ed. Macmillan, New York, 1965.
[5]
USPENSKY, J.V. Theory of Equations. McGraw-Hill, New York, 1948.
[6]
BOCHEa, M. Introduction to Higher Algebra. Macmillan, New York, 1907.
[7]
HOUSEHOLDER, A.S. Bigradients and the problem of Routh and Hurwitz. SIAM Rev. 10 (1968), 56--66.
[8]
COLLINS, G.E. The calculation of multivariate polynomial resultants. Proc. 2nd Symposium on Symbolic and Algebraic Manipulation. ACM, New York, 1971, pp. 212-222; J. A CM. 18 (Oct. 1971) 515-532.
[9]
HEINDEL, L. E. Algorithms for Exact Polynomial Rool Calculation, Ph.D. Diss., U. of Wisconsin (1970).

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cover image Journal of the ACM
Journal of the ACM  Volume 18, Issue 4
Oct. 1971
170 pages
ISSN:0004-5411
EISSN:1557-735X
DOI:10.1145/321662
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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 October 1971
Published in JACM Volume 18, Issue 4

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