| Controlled iterative methods for solving polynomial systems |
| Full text |
Pdf
(379 KB)
|
| Source
|
International Conference on Symbolic and Algebraic Computation
archive
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 |
|
| Publisher |
|
| Bibliometrics |
Downloads (6 Weeks): 3, Downloads (12 Months): 17, Citation Count: 3
|
|
|
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
|
AUZINGER, W., AND STETTER, H. An elimination algorithm for the computation of all zeros of a system of multivariate polynomial equations. In Proc. Intern. Conf. on Numerical Math. (1988), vol. 86 of Int. Series of Numerical Math., Birkh/iuser, pp. 11-30.
|
| |
2
|
|
| |
3
|
|
 |
4
|
J. F. Canny , E. Kaltofen , L. Yagati, Solving systems of nonlinear polynomial equations faster, Proceedings of the ACM-SIGSAM 1989 international symposium on Symbolic and algebraic computation, p.121-128, July 17-19, 1989, Portland, Oregon, United States
[doi> 10.1145/74540.74556]
|
 |
5
|
Robert M. Corless , Patrizia M. Gianni , Barry M. Trager, A reordered Schur factorization method for zero-dimensional polynomial systems with multiple roots, Proceedings of the 1997 international symposium on Symbolic and algebraic computation, p.133-140, July 21-23, 1997, Kihei, Maui, Hawaii, United States
[doi> 10.1145/258726.258767]
|
| |
6
|
Cox, D., LITTLE, J., AND O'SHEA, D. Ideals, Varieties, and Algorithms: An Introduction to Cornputational Algebraic Geometry and Commutative Algebra. Undergraduate Texts in Mathematics. Springer, 1992.
|
 |
7
|
Ioanis Z. Emiris , Victor Y. Pan, The structure of sparse resultant matrices, Proceedings of the 1997 international symposium on Symbolic and algebraic computation, p.189-196, July 21-23, 1997, Kihei, Maui, Hawaii, United States
[doi> 10.1145/258726.258779]
|
 |
8
|
|
| |
9
|
EMSALEM, J. G6om6trie des points 6pais. Bull. Soc. Math. France 106 (1978), 399-416.
|
| |
10
|
|
| |
11
|
GELFAND, I., KAPRANOV, M., AND ZELEVINSKY, A. Discrirninants, Resultants and Multidimensional Deterrninants. Birkh/iuser, Boston-Basel-Berlin, 1994.
|
| |
12
|
GIANNI, P., AND TRAGER, B. Computations with approximate ideals. Preprint, SNAP'96, 1997.
|
| |
13
|
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.
|
| |
14
|
GOLUB, G. H., AND VAN LOAN, C. F. Matrix Cornputations, Johns Hopkins Univ. Press, Baltimore, Maryland (1996) (third edition).
|
| |
15
|
LAZARD, D. R~solution des syst~mes d'~quations alg~briques. Theor. Cornp. Science 15 (1981), 77-110.
|
| |
16
|
MACAULAY, F. Some formulae in elimination. Proc. London Math. Soc. 1, 33 (1902), 3-27.
|
 |
17
|
|
| |
18
|
|
 |
19
|
Maria Grazia Marinari , Teo Mora , Hans Michael Möller, Gröbner duality and multiplicities in polynomial system solving, Proceedings of the 1995 international symposium on Symbolic and algebraic computation, p.167-179, July 10-12, 1995, Montreal, Quebec, Canada
[doi> 10.1145/220346.220368]
|
| |
20
|
MOUaaAIN, B. Isolated points, duality and residues. J. Pure Applied Algebra. Special Issue on Algorithms for Algebra 117 ~ 118 (May 1997), 469-494.
|
| |
21
|
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.
|
| |
23
|
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.
|
| |
24
|
|
 |
25
|
|
| |
26
|
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.
|
| |
27
|
|
| |
28
|
|
 |
29
|
|
| |
30
|
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).
|
| |
31
|
VAN DER WAERDEN, B. Modern algebra, Vol. II. Frederick Ungar Publishing Co., 1948.
|
|