An optimal condition for determining the exact number of roots of a polynomial system

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An optimal condition for determining the exact number of roots of a polynomial system

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1991 international symposium on Symbolic and algebraic computation table of contents

Bonn, West Germany

Pages: 96 - 102

Year of Publication: 1991

ISBN:0-89791-437-6

Authors

John Canny	Computer Science Division, University of California, Berkeley, CA
J. Maurice Rojas	Computer Science Division, University of California, Berkeley, CA

Sponsors

GMD : German Natl Research Ctr for Information Tech. - Gesellschft
German Comp Soc : GI - Gesellshaft for Informatik
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 5, Downloads (12 Months): 19, Citation Count: 1

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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.

	Art67	Artin, Emil (1967) Algebraic Numbers and Algebraic Functions, Gordon and Breach, New York.
	Ber75	Bernshtein. D. N. (1975) "The Number of Roots of a System of Equations", translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 9, No. 3, pp. 1-4, 3uly-September.
	Har77	Hartshorne, Robin (1977) Algebraic Geometry, Springer-Verlag, New York.
	Kho78	Khovanskii, A. G. (1978) "Newton PoZyhedra and the Genus of Complete Intersections", translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 12, No. 1, pp. 51-61, January-March.
	Kus76	Kushnirenko. A. G. (1976) "Newton Polytopes aud the Bezout Theorem", translated from Funktsional'nyi Analiz i Ego Prilozheniya, pp. 82-83, Vol. 10, No. 3, July-September.
	Mor90	Morgan, Alexander (1990) "Polynomial Continuation and its Relationship to the Symbolic Reduction of Polynomial Systems", Workshop on The Integration of" Numerical and Symbolic Computing Methods, July 8-11, Saratoga Springs, New York.
	Mum76	Mumford, David (19'77) Algebraic Geometry I: Complex A lgebraic Varieties, Springer-Verlag, Berlin; New York.
	Oda88	Oda, Tadeo (1988) Convex Bodies and Algebraic Geometry: an Introduction to the Theory of Toric Varieties, Springer-Verlag, Berlin; New York.
	RR90	Madhusudan Raghaven , Bernard Roth, Kinematic analysis of the 6R manipulator of general geometry, The fifth international symposium on Robotics research, p.263-269, February 1991
	WMS90	Wampler, C. W., Morgan, A. P. and Sommese, A. J. (1990) "Numerical Continuation Methods for Solving Polynomial Systems Arising in Kinematics", Journal of Mechanical Design, pp. 59-68, March, vol. 112.