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Controlled iterative methods for solving polynomial systems
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Proceedings of the 1998 international symposium on Symbolic and algebraic computation table of contents
Rostock, Germany
Pages: 252 - 259  
Year of Publication: 1998
ISBN:1-58113-002-3
Authors
Didier Bondyfalat  INRIA, SAGA, 2004 route des Lucioles, B.P. 93, 06902 Sophia Antipolis, France
Bernard Mourrain  INRIA, SAGA, 2004 route des Lucioles, B.P. 93, 06902 Sophia Antipolis, France
Victor Y. Pan  Dept. of Math. and Computer Science, Lehman College, City Univ. of New York, Bronx, NY
Sponsors
German Comp Soc : GI - Gesellshaft for Informatik
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): 3,   Downloads (12 Months): 17,   Citation Count: 3
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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.

 
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GELFAND, I., KAPRANOV, M., AND ZELEVINSKY, A. Discrirninants, Resultants and Multidimensional Deterrninants. Birkh/iuser, Boston-Basel-Berlin, 1994.
 
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GIANNI, P., AND TRAGER, B. Computations with approximate ideals. Preprint, SNAP'96, 1997.
 
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GIUSTI, M., AND HEINTZ, J. La d6termination des points isol6s et de la dimension d'une vari6t6 algebrique peut se faire en temps polynomial. In Proc. Intern. Meeting on Commutative Algebra (Cortona, 1991), vol. XXXIV of Syrnp. Mathernatica, pp. 216-255.
 
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GOLUB, G. H., AND VAN LOAN, C. F. Matrix Cornputations, Johns Hopkins Univ. Press, Baltimore, Maryland (1996) (third edition).
 
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LAZARD, D. R~solution des syst~mes d'~quations alg~briques. Theor. Cornp. Science 15 (1981), 77-110.
 
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MACAULAY, F. Some formulae in elimination. Proc. London Math. Soc. 1, 33 (1902), 3-27.
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MOUaaAIN, B. Isolated points, duality and residues. J. Pure Applied Algebra. Special Issue on Algorithms for Algebra 117 ~ 118 (May 1997), 469-494.
 
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MOURRAIN, B. Solving polynomial systems by matrix computations. Manuscript. INRIA Sophia-Antipolis, France. Submitted for publication, 1997.
 
22
MOURRAIN, B., AND PAN, V. Multivariate polynomials, duality and structured matrices, submitted, 1997.
 
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MOURRAIN, B., AND PAN, V. Y. Multidimensional structured matrices and polynomial systems. Calcolo, Special Issue, workshop on Toeplitz matrices: Structure, Algorithms and Applications 33 (1996), 389-401.
 
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PEDERSEN, P. S., AND STURMFELS, B. Mixed monomial basis. In Effective Methods in Algebraic Geornetry (MEGA'9~) (Santander (Spain), 1994), vol. 143 of Progress in Math., Birkh/iuser, pp. 285-306.
 
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STURMFELS, B. Sparse elimination theory. In Cornputational Algebraic Geometry and Commutative Algebra (1993), D. Eisenbud and L. Robianno, Eds., Cambridge Univ. Press, pp. 264-298. (Proc. Cortona, June 1991).
 
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VAN DER WAERDEN, B. Modern algebra, Vol. II. Frederick Ungar Publishing Co., 1948.


Collaborative Colleagues:
Didier Bondyfalat: colleagues
Bernard Mourrain: colleagues
Victor Y. Pan: colleagues