-
1
-
-
33749580982
-
Sum of roots with positive real parts
-
ANAI, H., HARA, S., AND YOKOYAMA, K. Sum of roots with positive real parts. In ISSAC'05, pp. 21-28.
-
ISSAC'05
, pp. 21-28
-
-
Anai, H.1
Hara, S.2
Yokoyama, K.3
-
2
-
-
0001625774
-
New results on quantifier elimination over real closed fields and applications to constraint databases
-
BASU. New results on quantifier elimination over real closed fields and applications to constraint databases. JACM: Journal of the ACM 46 (1999).
-
(1999)
JACM: Journal of the ACM
, vol.46
-
-
Basu1
-
3
-
-
0030291482
-
On the combinatorial and algebraic complexity of quantifier elimination
-
BASU, POLLACK, AND ROY. On the combinatorial and algebraic complexity of quantifier elimination. JACM: Journal of the ACM 43 (1996).
-
(1996)
JACM: Journal of the ACM
, vol.43
-
-
Basu1
Pollack2
Roy3
-
4
-
-
33645297264
-
-
Gröbner bases. Springer-Verlag, New York
-
BECKER, T., AND WEISPFENNING, V. Gröbner bases, vol. 141 of Graduate Texts in Mathematics. Springer-Verlag, New York, 1993.
-
(1993)
Graduate Texts in Mathematics
, vol.141
-
-
Becker, T.1
Weispfenning, V.2
-
5
-
-
33748960671
-
-
May 06
-
BERNASCONI, A., MAYR, E. W., RAAB, M., AND MNUK, M. Computing the dimension of a polynomial ideal, May 06 2002.
-
(2002)
Computing the Dimension of a Polynomial Ideal
-
-
Bernasconi, A.1
Mayr, E.W.2
Raab, M.3
Mnuk, M.4
-
6
-
-
33749575816
-
On using bi-equational constraints in CAD construction
-
BROWN, C. W., AND MCCALLUM, S. On using bi-equational constraints in CAD construction. In ISSAC'05, pp. 76-83.
-
ISSAC'05
, pp. 76-83
-
-
Brown, C.W.1
Mccallum, S.2
-
7
-
-
0032443499
-
A pure power product version of the Hubert Nullstellensatz
-
BROWNAWELL, W. D. A pure power product version of the Hubert Nullstellensatz. Michigan Math. J. 45, 3 (1998), 581-597.
-
(1998)
Michigan Math. J.
, vol.45
, Issue.3
, pp. 581-597
-
-
Brownawell, W.D.1
-
8
-
-
0002522928
-
A theoretical basis for the reduction of polynomials to canonical forms
-
Aug.
-
BUCHBERGER, B. A theoretical basis for the reduction of polynomials to canonical forms. j-SIGSAM 10, 3 (Aug. 1976), 19-29.
-
(1976)
j-SIGSAM
, vol.10
, Issue.3
, pp. 19-29
-
-
Buchberger, B.1
-
10
-
-
7444253514
-
Using computer algebra tools to classify serial manipulators
-
CORVEZ, S., AND ROUILLIER, F. Using computer algebra tools to classify serial manipulators. In Automated Deduction in Geometry (2002), pp. 31-43.
-
(2002)
Automated Deduction in Geometry
, pp. 31-43
-
-
Corvez, S.1
Rouillier, F.2
-
11
-
-
0003908675
-
-
Undergraduate Texts in Mathematics. Springer Verlag
-
COX, D., LITTLE, J., AND O'SHEA, D. Ideals, Varieties, and Algorithms. Undergraduate Texts in Mathematics. Springer Verlag, 1992.
-
(1992)
Ideals, Varieties, and Algorithms
-
-
Cox, D.1
Little, J.2
O'Shea, D.3
-
12
-
-
0003647259
-
-
Using algebraic geometry. Springer-Verlag
-
COX, D. A., LITTLE, J. B., AND O'SHEA, D. B. Using algebraic geometry, vol. 185 of Graduate Texts in Mathematics. Springer-Verlag, 1998.
-
(1998)
Graduate Texts in Mathematics
, vol.185
-
-
Cox, D.A.1
Little, J.B.2
O'Shea, D.B.3
-
13
-
-
0036045901
-
A new efficient algorithm for computing Gröbner bases without reduction to zero (F5)
-
FAUGÈRE, J. C. A new efficient algorithm for computing Gröbner bases without reduction to zero (F5). In ISSAC'02, pp. 75-83.
-
ISSAC'02
, pp. 75-83
-
-
Faugère, J.C.1
-
14
-
-
35248840150
-
Algebraic cryptanalysis of hidden field equation (HFE) cryptosystems using Gröbner bases
-
Advances in cryptology - CRYPTO 2003, Springer, Berlin
-
FAUGÈRE, J.-C., AND JOUX, A. Algebraic cryptanalysis of hidden field equation (HFE) cryptosystems using Gröbner bases. In Advances in cryptology - CRYPTO 2003, vol. 2729 of Lecture Notes in Comput. Sei. Springer, Berlin, 2003, pp. 44-60.
-
(2003)
Lecture Notes in Comput. Sei.
, vol.2729
, pp. 44-60
-
-
Faugère, J.-C.1
Joux, A.2
-
15
-
-
33747590758
-
Parametric optimization and optimal control using algebraic geometry methods
-
to appear
-
FOTIOU, I. A., ROSTALSKI, P., PARRILO, P. A., AND MORARI, M. Parametric optimization and optimal control using algebraic geometry methods. International Journal of Control (to appear).
-
International Journal of Control
-
-
Fotiou, I.A.1
Rostalski, P.2
Parrilo, P.A.3
Morari, M.4
-
17
-
-
85034825830
-
Some effectivity problems in polynomial ideal theory
-
EUROSAM 84
-
GIUSTI, M. Some effectivity problems in polynomial ideal theory. In EUROSAM 84, vol. 174 of Lecture Notes in Comput. Sci. 1984, pp. 159-171.
-
(1984)
Lecture Notes in Comput. Sci.
, vol.174
, pp. 159-171
-
-
Giusti, M.1
-
18
-
-
0000936391
-
La détermination des points isolés et de la dimension d'une variété algébrique peut se faire en temps polynomial
-
GIUSTI, M., AND HEINTZ, J. La détermination des points isolés et de la dimension d'une variété algébrique peut se faire en temps polynomial. In Computational algebraic geometry and commutative algebra, vol. 34. 1993, pp. 216-256.
-
(1993)
Computational Algebraic Geometry and Commutative Algebra
, vol.34
, pp. 216-256
-
-
Giusti, M.1
Heintz, J.2
-
19
-
-
2042528768
-
Solving some overdetermined polynomial systems
-
GIUSTI, M., AND SCHOST, É. Solving some overdetermined polynomial systems. In ISSAC'99.
-
ISSAC'99
-
-
Giusti, M.1
Schost, E.2
-
20
-
-
0033645901
-
Bounds on numers of vectors of multiplicities for polynomials which are easy to compute
-
GRIGORIEV, D., AND VOROBJOV, N. Bounds on numers of vectors of multiplicities for polynomials which are easy to compute. In ISSAC'00, pp. 137-146.
-
ISSAC'00
, pp. 137-146
-
-
Grigoriev, D.1
Vorobjov, N.2
-
21
-
-
0000627865
-
Definability and fast quantifier elimination in algebraically closed fields
-
Aug.
-
HEINTZ, J. Definability and fast quantifier elimination in algebraically closed fields. Theoretical Computer Science 24, 3 (Aug. 1983), 239-277.
-
(1983)
Theoretical Computer Science
, vol.24
, Issue.3
, pp. 239-277
-
-
Heintz, J.1
-
22
-
-
0000697864
-
A computational method for Diophantine approximation
-
Algorithms in algebraic geometry and applications
-
KRICK, T., AND PARDO, L. M. A computational method for Diophantine approximation. In Algorithms in algebraic geometry and applications, vol. 143 of Progr. Math. 1996, pp. 193-253.
-
(1996)
Progr. Math.
, vol.143
, pp. 193-253
-
-
Krick, T.1
Pardo, L.M.2
-
24
-
-
33748982931
-
Solving parametric polynomial systems
-
Tech. rep., INRIA. Accepted for publication
-
LAZARD, D., AND ROUILLIER, F. Solving parametric polynomial systems. Tech. rep., INRIA, 2004. Accepted for publication in Journal of Symbolic Computation.
-
(2004)
Journal of Symbolic Computation
-
-
Lazard, D.1
Rouillier, F.2
-
26
-
-
0032479656
-
An effective algorithm for quantifier elimination over algebraically closed fields using straight line programs
-
PUDDU, S., AND SABIA, J. An effective algorithm for quantifier elimination over algebraically closed fields using straight line programs. J. Pure Appl. Algebra 129, 2 (1998), 173-200.
-
(1998)
J. Pure Appl. Algebra
, vol.129
, Issue.2
, pp. 173-200
-
-
Puddu, S.1
Sabia, J.2
-
27
-
-
33748957251
-
Zum hilbertschen nullstellensatz
-
RABINOWITSCH, J. L. Zum Hilbertschen Nullstellensatz. Math. Ann. 102, 1 (1930), 520.
-
(1930)
Math. Ann.
, vol.102
, Issue.1
, pp. 520
-
-
Rabinowitsch, J.L.1
-
28
-
-
0037332265
-
Computing parametric geometric resolutions
-
SCHOST, É. Computing parametric geometric resolutions. Appl. Algebra Engrg. Comm. Comput. 13, 5 (2003), 349-393.
-
(2003)
Appl. Algebra Engrg. Comm. Comput.
, vol.13
, Issue.5
, pp. 349-393
-
-
Schost, É.1
-
29
-
-
33748970924
-
Introduction to numerical algebraic geometry
-
Solving polynomial equations
-
SOMMESE, A. J., VERSCHELDE, J., AND WAMPLER, C. W. Introduction to numerical algebraic geometry. In Solving polynomial equations, vol. 14 of Algorithms Comput. Math. 2005, pp. 301-335.
-
(2005)
Algorithms Comput. Math.
, vol.14
, pp. 301-335
-
-
Sommese, A.J.1
Verschelde, J.2
Wampler, C.W.3
-
30
-
-
27644452721
-
Numerical algebraic geometry and symbolic computation
-
VERSCHELDE, J. Numerical algebraic geometry and symbolic computation. In ISSAC'04, p. 3.
-
ISSAC'04
, pp. 3
-
-
Verschelde, J.1
-
33
-
-
33749559719
-
An open problem on metric invariants of tetrahedra
-
YANG, L., AND ZENG, Z. An open problem on metric invariants of tetrahedra. In ISSAC'05, pp. 362-364.
-
ISSAC'05
, pp. 362-364
-
-
Yang, L.1
Zeng, Z.2
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