Efficient algorithms for Hankel matrices over Z[x1,…,xr]

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Efficient algorithms for Hankel matrices over Z[x1,…,xr]

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1993 international symposium on Symbolic and algebraic computation table of contents

Kiev, Ukraine

Pages: 201 - 208

Year of Publication: 1993

ISBN:0-89791-604-2

Authors

Juan R. Sendra
Juan Llovet

Sponsor

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation

Publisher

ACM New York, NY, USA

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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	Brent R.P., Gustavson F.G., and Yun D.Y.Y., " Fast Solution of Toeplitz system of equations and computation of Padd approximants', J. Algorithms 1 (1980), pp. 259-295.
	2	W. S. Brown, On Euclid's Algorithm and the Computation of Polynomial Greatest Common Divisors, Journal of the ACM (JACM), v.18 n.4, p.478-504, Oct. 1971 [doi>10.1145/321662.321664]
	3	B. Buchberger , George E. Collins , Rudiger Loos , Rudolf Albrecht, Computer algebra: symbolic and algebraic computation (2nd ed.), Springer-Verlag New York, Inc., New York, NY, 1983
	4	George E. Collins, The Calculation of Multivariate Polynomial Resultants, Journal of the ACM (JACM), v.18 n.4, p.515-532, Oct. 1971 [doi>10.1145/321662.321666]
	5	Gantmacher F.R., "Theory of Matrices", Chelsea New York (1960).
	6	Heinig G., Rost K. "Algebraic Methods for Toeplitz-like Matrices and Operators", Birkh~iuser Verlag (1984).
	7	Llovet J., Sendra J.R. "Hankel Matrices and Polynomials", Lectures Notes in Computer Science 356 (Springer Verlag 1989) pp 321- 333.
	8	J. Llovet , J. R. Sendra, A modular approach to the computation of the number of real roots, Proceedings of the international symposium on Symbolic and algebraic computation, p.298, August 20-24, 1990, Tokyo, Japan [doi>10.1145/96877.96967]
	9	J. Rafael Sendra , Juan Llovet, An extended polynomial GCD algorithm using Hankel matrices, Journal of Symbolic Computation, v.13 n.1, p.25-39, Jan. 1992 [doi>10.1016/0747-7171(92)90003-M]