Stabilization of polynomial systems solving with Groebner bases

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Stabilization of polynomial systems solving with Groebner bases

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1997 international symposium on Symbolic and algebraic computation table of contents

Kihei, Maui, Hawaii, United States

Pages: 117 - 124

Year of Publication: 1997

ISBN:0-89791-875-4

Author

Hans J. Stetter

Institute for Applied and Numerical Mathematics, Technical University of Vienna

Sponsors

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 8, Downloads (12 Months): 29, Citation Count: 8

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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	BUCHBERGER, B. Groebner bases: An algorithmic method in polynomial ideal theory. In Progress, directions, and open problems in multidimensional systems theory, N. K. Bose, Ed. D. Reidel Publ. Co., 1985.
	2	FRISCO. (framework for the integration of symbolic and numeric computation). European Project No. 21024, Work Package 3: Algorithms and Library.
	3	M. G. Marinari , H. M. Möller , T. Mora, Gröbner bases of ideals given by dual bases, Proceedings of the 1991 international symposium on Symbolic and algebraic computation, p.55-63, July 15-17, 1991, Bonn, West Germany [doi>10.1145/120694.120702]
	4	MAaINArU, M. G., MOELLEa, H. M., AND MORA, T. Groebner duality and multiplicities in polynomial system solving. 7kans. AMS. To appear.
	5	H. Michael Möller , Hans J. Stetter, Multivariate polynomial equations with multiple zeros solved by matrix eigenproblems, Numerische Mathematik, v.70 n.3, p.311-329, May 1995 [doi>10.1007/s002110050122]
	6	STETTER, H. J. Zeros of polynomial systems with coefficients of limited accuracy, in preparation.
	7	STETTER, H. J. Multivariate polynomial equations as eigenvalue problems. In Contributions in Numerical Mathematics, vol. 2 of Series in Applicable Analysis. World Scientific, 1993, pp. 355-371.
	8	Hans J. Stetter, Analysis of zero clusters in multivariate polynomial systems, Proceedings of the 1996 international symposium on Symbolic and algebraic computation, p.127-136, July 24-26, 1996, Zurich, Switzerland [doi>10.1145/236869.236919]
	9	Hans J. Stetter, Matrix eigenproblems are at the heart of polynomial system solving, ACM SIGSAM Bulletin, v.30 n.4, p.22-25, Dec. 1996 [doi>10.1145/242961.242966]
	10	Volker Weispfenning, Comprehensive Gro¨bner bases, Journal of Symbolic Computation, v.14 n.1, p.1-29, July 1992 [doi>10.1016/0747-7171(92)90023-W]

CITED BY 8

	Hans J. Stetter , Günther H. Thallinger, Singular systems of polynomials, Proceedings of the 1998 international symposium on Symbolic and algebraic computation, p.9-16, August 13-15, 1998, Rostock, Germany
	Johannes Grabmeier , Erich Kaltofen , Volker Weispfenning, Cited References, Computer algebra handbook, Springer-Verlag New York, Inc., New York, NY, 2003
	Carlo Traverso , Alberto Zanoni, Numerical stability and stabilization of Groebner basis computation, Proceedings of the 2002 international symposium on Symbolic and algebraic computation, p.262-269, July 07-10, 2002, Lille, France
	Sonia Pérez-Díaz , Juana Sendra , J. Rafael Sendra, Parametrization of approximate algebraic surfaces by lines, Computer Aided Geometric Design, v.22 n.2, p.147-181, February 2005
	Sonia Pérez-Díaz , Juana Sendra , J. Rafael Sendra, Parametrization of approximate algebraic curves by lines, Theoretical Computer Science, v.315 n.2-3, p.627-650, 6 May 2004
	Robert M. Corless , Stephen M. Watt, Report on the SNAP minisymposium at SIAM '98, ACM SIGSAM Bulletin, v.32 n.2, p.35-37, June 1998
	Sonia Pérez-Díaz , Juana Sendra , J. Rafael Sendra, Distance bounds of ε-points on hypersurfaces, Theoretical Computer Science, v.359 n.1, p.344-368, 14 August 2006
	Tateaki Sasaki , Fujio Kako, Computing floating-point gröbner bases stably, Proceedings of the 2007 international workshop on Symbolic-numeric computation, July 25-27, 2007, London, Ontario, Canada