-
1
-
-
0001906678
-
Zeros, multiplicities, and idempotents for zero-dimensional systems
-
Progr. Math, Basel: Birkhäuser
-
Alonso, M.-E., Becker, E., Roy, M.-F., Wörmann, T.: Zeros, multiplicities, and idempotents for zero-dimensional systems. In: Algorithms in Algebraic Geometry and Applications. Progr. Math., vol. 143, pp. 1-15. Birkhäuser, Basel (1996).
-
(1996)
Algorithms in Algebraic Geometry and Applications
, vol.143
, pp. 1-15
-
-
Alonso, M.-E.1
Becker, E.2
Roy, M.-F.3
Wörmann, T.4
-
2
-
-
0036901031
-
Real solving for positive dimensional systems
-
Aubry, P., Rouillier, F., Safey El Din, M.: Real solving for positive dimensional systems. J. Symb. Comput. 34(6), 543-560 (2002).
-
(2002)
J. Symb. Comput.
, vol.34
, Issue.6
, pp. 543-560
-
-
Aubry, P.1
Rouillier, F.2
Safey El Din, M.3
-
3
-
-
0031097237
-
Polar varieties, real equation solving, and data structures: The hypersurface case
-
Bank, B., Giusti, M., Heintz, J., Mbakop, G. M.: Polar varieties, real equation solving, and data structures: the hypersurface case. J. Complex. 13(1), 5-27 (1997).
-
(1997)
J. Complex.
, vol.13
, Issue.1
, pp. 5-27
-
-
Bank, B.1
Giusti, M.2
Heintz, J.3
Mbakop, G.M.4
-
4
-
-
0035465565
-
Polar varieties and efficient real elimination
-
Bank, B., Giusti, M., Heintz, J., Mbakop, G. M.: Polar varieties and efficient real elimination. Math. Z. 238(1), 115-144 (2001).
-
(2001)
Math. Z.
, vol.238
, Issue.1
, pp. 115-144
-
-
Bank, B.1
Giusti, M.2
Heintz, J.3
Mbakop, G.M.4
-
5
-
-
12144249591
-
Generalized polar varieties and an efficient real elimination procedure
-
Bank, B., Giusti, M., Heintz, J., Pardo, L. M.: Generalized polar varieties and an efficient real elimination procedure. Kybernetika (Prague) 40(5), 519-550 (2004).
-
(2004)
Kybernetika (Prague)
, vol.40
, Issue.5
, pp. 519-550
-
-
Bank, B.1
Giusti, M.2
Heintz, J.3
Pardo, L.M.4
-
6
-
-
21844468940
-
Generalized polar varieties: Geometry and algorithms
-
Bank, B., Giusti, M., Heintz, J., Pardo, L. M.: Generalized polar varieties: geometry and algorithms. J. Complex. 21(4), 377-412 (2005).
-
(2005)
J. Complex.
, vol.21
, Issue.4
, pp. 377-412
-
-
Bank, B.1
Giusti, M.2
Heintz, J.3
Pardo, L.M.4
-
7
-
-
0030291482
-
On the combinatorial and algebraic complexity of quantifier elimination
-
Basu, S., Pollack, R., Roy, M.-F.: On the combinatorial and algebraic complexity of quantifier elimination. J. ACM 43(6), 1002-1045 (1996).
-
(1996)
J. ACM
, vol.43
, Issue.6
, pp. 1002-1045
-
-
Basu, S.1
Pollack, R.2
Roy, M.-F.3
-
8
-
-
0008406362
-
A new algorithm to find a point in every cell defined by a family of polynomials
-
Linz1993Texts Monogr. Symbol. Comput, Vienna: Springer
-
Basu, S., Pollack, R., Roy, M.-F.: A new algorithm to find a point in every cell defined by a family of polynomials. In: Quantifier Elimination and Cylindrical Algebraic Decomposition, Linz, 1993. Texts Monogr. Symbol. Comput., pp. 341-350. Springer, Vienna (1998).
-
(1998)
Quantifier Elimination and Cylindrical Algebraic Decomposition
, pp. 341-350
-
-
Basu, S.1
Pollack, R.2
Roy, M.-F.3
-
9
-
-
0010279046
-
-
Algorithms and Computation in Mathematics, Berlin: Springer
-
Basu, S., Pollack, R., Roy, M.-F.: Algorithms in Real Algebraic Geometry. Algorithms and Computation in Mathematics, vol. 10. Springer, Berlin (2003).
-
(2003)
Algorithms in Real Algebraic Geometry
, vol.10
-
-
Basu, S.1
Pollack, R.2
Roy, M.-F.3
-
10
-
-
0005478995
-
The complexity of partial derivatives
-
Baur, W., Strassen, V.: The complexity of partial derivatives. Theor. Comput. Sci. 22(3), 317-330 (1983).
-
(1983)
Theor. Comput. Sci.
, vol.22
, Issue.3
, pp. 317-330
-
-
Baur, W.1
Strassen, V.2
-
11
-
-
0021388907
-
On computing the determinant in small parallel time using a small number of processors
-
Berkowitz, S.: On computing the determinant in small parallel time using a small number of processors. Inf. Process. Lett. 18(3), 147-150 (1984).
-
(1984)
Inf. Process. Lett.
, vol.18
, Issue.3
, pp. 147-150
-
-
Berkowitz, S.1
-
12
-
-
0003362771
-
Polynomial and Matrix Computations
-
Progress in Theoretical Computer Science, Boston: Birkhäuser
-
Bini, D., Pan, V. Y.: Polynomial and Matrix Computations. Vol. 1. Fundamental Algorithms. Progress in Theoretical Computer Science. Birkhäuser, Boston (1994).
-
(1994)
Fundamental Algorithms
, vol.1
-
-
Bini, D.1
Pan, V.Y.2
-
13
-
-
0003503639
-
-
Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], Berlin: Springer
-
Bochnak, J., Coste, M., Roy, M.-F.: Real Algebraic Geometry. Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 36. Springer, Berlin (1998).
-
(1998)
Real Algebraic Geometry
, vol.36
-
-
Bochnak, J.1
Coste, M.2
Roy, M.-F.3
-
14
-
-
0039324528
-
-
Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], Berlin: Springer
-
Bürgisser, P., Clausen, M., Shokrollahi, M. A.: Algebraic Complexity Theory. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 315. Springer, Berlin (1997).
-
(1997)
Algebraic Complexity Theory
, vol.315
-
-
Bürgisser, P.1
Clausen, M.2
Shokrollahi, M.A.3
-
15
-
-
0001423662
-
Improved algorithms for sign determination and existential quantifier elimination
-
Canny, J.: Improved algorithms for sign determination and existential quantifier elimination. Comput. J. 36(5), 409-418 (1993).
-
(1993)
Comput. J.
, vol.36
, Issue.5
, pp. 409-418
-
-
Canny, J.1
-
16
-
-
85029837057
-
Quantifier elimination for real closed fields by cylindrical algebraic decomposition
-
Second GI Conf., Kaiserslautern1975Lecture Notes in Comput. Sci, Berlin: Springer
-
Collins, G. E.: Quantifier elimination for real closed fields by cylindrical algebraic decomposition. In: Automata Theory and Formal Languages, Second GI Conf., Kaiserslautern, 1975. Lecture Notes in Comput. Sci., vol. 33, pp. 134-183. Springer, Berlin (1975).
-
(1975)
Automata Theory and Formal Languages
, vol.33
, pp. 134-183
-
-
Collins, G.E.1
-
17
-
-
85023205150
-
Matrix multiplication via arithmetic progressions
-
Coppersmith, D., Winograd, S.: Matrix multiplication via arithmetic progressions. J. Symb. Comput. 9(3), 251-280 (1990).
-
(1990)
J. Symb. Comput.
, vol.9
, Issue.3
, pp. 251-280
-
-
Coppersmith, D.1
Winograd, S.2
-
18
-
-
0031142051
-
Lower bounds for Diophantine approximations
-
Giusti, M., Heintz, J., Hägele, K., Morais, J. E., Pardo, L. M., Montaña, J. L.: Lower bounds for Diophantine approximations. J. Pure Appl. Algebra 117/118, 277-317 (1997).
-
(1997)
J. Pure Appl. Algebra
, vol.117-118
, pp. 277-317
-
-
Giusti, M.1
Heintz, J.2
Hägele, K.3
Morais, J.E.4
Pardo, L.M.5
Montaña, J.L.6
-
19
-
-
0031992346
-
Straight-line programs in geometric elimination theory
-
Giusti, M., Heintz, J., Morais, J. E., Morgenstern, J., Pardo, L. M.: Straight-line programs in geometric elimination theory. J. Pure Appl. Algebra 124(1-3), 101-146 (1998).
-
(1998)
J. Pure Appl. Algebra
, vol.124
, Issue.1-3
, pp. 101-146
-
-
Giusti, M.1
Heintz, J.2
Morais, J.E.3
Morgenstern, J.4
Pardo, L.M.5
-
20
-
-
0035294718
-
A Gröbner free alternative for polynomial system solving
-
Giusti, M., Lecerf, G., Salvy, B.: A Gröbner free alternative for polynomial system solving. J. Complex. 17(1), 154-211 (2001).
-
(2001)
J. Complex.
, vol.17
, Issue.1
, pp. 154-211
-
-
Giusti, M.1
Lecerf, G.2
Salvy, B.3
-
21
-
-
0039324762
-
Counting connected components of a semialgebraic set in subexponential time
-
Grigor'ev, D. Y., Vorobjov, N. N. Jr.: Counting connected components of a semialgebraic set in subexponential time. Comput. Complex. 2(2), 133-186 (1992).
-
(1992)
Comput. Complex.
, vol.2
, Issue.2
, pp. 133-186
-
-
Grigor'ev, D.Y.1
Vorobjov Jr., N.N.2
-
22
-
-
0000627865
-
Definability and fast quantifier elimination in algebraically closed fields
-
Heintz, J.: Definability and fast quantifier elimination in algebraically closed fields. Theor. Comput. Sci. 24(3), 239-277 (1983).
-
(1983)
Theor. Comput. Sci.
, vol.24
, Issue.3
, pp. 239-277
-
-
Heintz, J.1
-
23
-
-
0001404855
-
Testing polynomials which are easy to compute
-
Zurich1980Enseign. Math, Geneva: Univ. Genève
-
Heintz, J., Schnorr, C.-P.: Testing polynomials which are easy to compute. In: Logic and Algorithmic, Zurich, 1980. Enseign. Math., vol. 30, pp. 237-254. Univ. Genève, Geneva (1982).
-
(1982)
Logic and Algorithmic
, vol.30
, pp. 237-254
-
-
Heintz, J.1
Schnorr, C.-P.2
-
24
-
-
21844450306
-
-
Manuscript
-
Heintz, J., Jeronimo, G., Sabia, J., Solernó, P.: Intersection theory and deformation algorithms: the multi-homogeneous case. Manuscript.
-
Intersection Theory and Deformation Algorithms: The Multi-Homogeneous Case
-
-
Heintz, J.1
Jeronimo, G.2
Sabia, J.3
Solernó, P.4
-
25
-
-
0000993667
-
Sur la complexité du principe de Tarski-Seidenberg
-
Heintz, J., Roy, M.-F., Solernó, P.: Sur la complexité du principe de Tarski-Seidenberg. Bull. Soc. Math. Fr. 118(1), 101-126 (1990).
-
(1990)
Bull. Soc. Math. Fr.
, vol.118
, Issue.1
, pp. 101-126
-
-
Heintz, J.1
Roy, M.-F.2
Solernó, P.3
-
26
-
-
0001787593
-
Deformation techniques for efficient polynomial equation solving
-
Heintz, J., Krick, T., Puddu, S., Sabia, J., Waissbein, A.: Deformation techniques for efficient polynomial equation solving. J. Complex. 16(1), 70-109 (2000).
-
(2000)
J. Complex.
, vol.16
, Issue.1
, pp. 70-109
-
-
Heintz, J.1
Krick, T.2
Puddu, S.3
Sabia, J.4
Waissbein, A.5
-
27
-
-
58849154685
-
Deformation techniques for sparse systems
-
Jeronimo, G., Matera, G., Solernó, P., Waissbein, A.: Deformation techniques for sparse systems. Found. Comput. Math. 9(1), 1-50 (2009).
-
(2009)
Found. Comput. Math.
, vol.9
, Issue.1
, pp. 1-50
-
-
Jeronimo, G.1
Matera, G.2
Solernó, P.3
Waissbein, A.4
-
30
-
-
0042156945
-
Computing the equidimensional decomposition of an algebraic closed set by means of lifting fibers
-
Lecerf, G.: Computing the equidimensional decomposition of an algebraic closed set by means of lifting fibers. J. Complex. 19(4), 564-596 (2003).
-
(2003)
J. Complex.
, vol.19
, Issue.4
, pp. 564-596
-
-
Lecerf, G.1
-
31
-
-
33645026135
-
-
Texts in Applied Mathematics, New York: Springer
-
Pedregal, P.: Introduction to Optimization. Texts in Applied Mathematics, vol. 46. Springer, New York (2004).
-
(2004)
Introduction to Optimization
, vol.46
-
-
Pedregal, P.1
-
32
-
-
0001572510
-
On the computational complexity and geometry of the first-order theory of the reals. I, II, III
-
Renegar, J.: On the computational complexity and geometry of the first-order theory of the reals. I, II, III. J. Symb. Comput. 13(3), 255-352 (1992).
-
(1992)
J. Symb. Comput.
, vol.13
, Issue.3
, pp. 255-352
-
-
Renegar, J.1
-
33
-
-
0033131339
-
Solving zero-dimensional systems through the rational univariate representation
-
Rouillier, F.: Solving zero-dimensional systems through the rational univariate representation. Appl. Algebra Eng. Commun. Comput. 9(5), 433-461 (1999).
-
(1999)
Appl. Algebra Eng. Commun. Comput.
, vol.9
, Issue.5
, pp. 433-461
-
-
Rouillier, F.1
-
34
-
-
0000076609
-
Finding at least one point in each connected component of a real algebraic set defined by a single equation
-
Rouillier, F., Roy, M.-F., Safey El Din, M.: Finding at least one point in each connected component of a real algebraic set defined by a single equation. J. Complex. 16(4), 716-750 (2000).
-
(2000)
J. Complex.
, vol.16
, Issue.4
, pp. 716-750
-
-
Rouillier, F.1
Roy, M.-F.2
Safey El Din, M.3
-
35
-
-
49449109671
-
Testing sign conditions on a multivariate polynomial and applications
-
Safey El Din, M.: Testing sign conditions on a multivariate polynomial and applications. Math. Comput. Sci. 1(1), 177-207 (2007).
-
(2007)
Math. Comput. Sci.
, vol.1
, Issue.1
, pp. 177-207
-
-
Safey El Din, M.1
-
38
-
-
0037332265
-
Computing parametric geometric resolutions
-
Schost, É.: Computing parametric geometric resolutions. Appl. Algebra Eng. Commun. Comput. 13(5), 349-393 (2003).
-
(2003)
Appl. Algebra Eng. Commun. Comput.
, vol.13
, Issue.5
, pp. 349-393
-
-
Schost, É.1
-
39
-
-
0001096069
-
A new decision method for elementary algebra
-
Seidenberg, A.: A new decision method for elementary algebra. Ann. Math. (2) 60, 365-374 (1954).
-
(1954)
Ann. Math. (2)
, vol.60
, pp. 365-374
-
-
Seidenberg, A.1
-
42
-
-
2442642323
-
-
Cambridge Studies in Advanced Mathematics, Cambridge: Cambridge University Press
-
Voisin, C.: Hodge Theory and Complex Algebraic Geometry. II. Cambridge Studies in Advanced Mathematics, vol. 77. Cambridge University Press, Cambridge (2003).
-
(2003)
Hodge Theory and Complex Algebraic Geometry. II
, vol.77
-
-
Voisin, C.1
-
43
-
-
84957621752
-
Parallel arithmetic computations: A survey
-
Bratislava1986Lecture Notes in Comput. Sci, Berlin: Springer
-
von zur Gathen, J.: Parallel arithmetic computations: a survey. In: Mathematical Foundations of Computer Science, 1986, Bratislava, 1986. Lecture Notes in Comput. Sci., vol. 233, pp. 93-112. Springer, Berlin (1986).
-
(1986)
Mathematical Foundations of Computer Science, 1986
, vol.233
, pp. 93-112
-
-
von Zur Gathen, J.1
|