-
1
-
-
0002783070
-
An elimination algorithm for the computation of all zeros of a system of multivariate polynomial equations
-
Basel: Birkhäuser. p. 11-30
-
Auzinger W., Stetter H. J. An elimination algorithm for the computation of all zeros of a system of multivariate polynomial equations. International Series of Numerical Mathematics. 1988;Birkhäuser, Basel. p. 11-30.
-
(1988)
International Series of Numerical Mathematics
-
-
Auzinger, W.1
Stetter, H.J.2
-
3
-
-
84966224351
-
The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
-
Bass H., Connelle E., Wright T. The Jacobian conjecture: Reduction of degree and formal expansion of the inverse. Bull. Amer. Math. Soc. 7:1982;287-330.
-
(1982)
Bull. Amer. Math. Soc.
, vol.7
, pp. 287-330
-
-
Bass, H.1
Connelle, E.2
Wright, T.3
-
4
-
-
0021388907
-
On computing the determinant in small parallel time using a small number of processors
-
Berkowitz S. J. On computing the determinant in small parallel time using a small number of processors. Inform. Process. Lett. 18:1984;147-150.
-
(1984)
Inform. Process. Lett.
, vol.18
, pp. 147-150
-
-
Berkowitz, S.J.1
-
5
-
-
0031097237
-
Polar varieties and efficient real equation solving: The hypersurface case
-
Bank B., Giusti M., Heintz J., Mbakop G. Polar varieties and efficient real equation solving: The hypersurface case. J. Complexity. 13:1997;5-27.
-
(1997)
J. Complexity
, vol.13
, pp. 5-27
-
-
Bank, B.1
Giusti, M.2
Heintz, J.3
Mbakop, G.4
-
7
-
-
0031094481
-
On computing a set of points meeting every cell defined by a family of polynomials on a variety
-
Basu S., Pollack R., Roy M.-F. On computing a set of points meeting every cell defined by a family of polynomials on a variety. J. Complexity. 13:1997;28-37.
-
(1997)
J. Complexity
, vol.13
, pp. 28-37
-
-
Basu, S.1
Pollack, R.2
Roy, M.-F.3
-
9
-
-
0002803133
-
Gröbner bases: An algorithmic method in polynomial ideal theory
-
N. K. Bose. Dordrecht: Reidel
-
Buchberger B. Gröbner bases: An algorithmic method in polynomial ideal theory. Bose N. K. Multidimensional System Theory. 1985;374-383 Reidel, Dordrecht.
-
(1985)
Multidimensional System Theory
, pp. 374-383
-
-
Buchberger, B.1
-
10
-
-
85013342629
-
Generalised characteristic polynomials
-
Canny J. Generalised characteristic polynomials. J. Symbolic Comput. 9:1990;241-250.
-
(1990)
J. Symbolic Comput.
, vol.9
, pp. 241-250
-
-
Canny, J.1
-
12
-
-
0003546197
-
-
LOMI preprint E-9-83, E-10-83, Steklov Institute, Leningrad
-
A. L. Chistov, and, D. Y. Grigoriev, Subexponential time solving systems of algebraic equations, LOMI preprint E-9-83, E-10-83, Steklov Institute, Leningrad, 1983.
-
(1983)
Subexponential Time Solving Systems of Algebraic Equations
-
-
Chistov, A.L.1
Grigoriev, D.Y.2
-
14
-
-
0003314349
-
Intersection Theory
-
New York/Berlin: Springer-Verlag
-
Fulton W. Intersection Theory. Ergebnisse der Mathematik. 1984;Springer-Verlag, New York/Berlin.
-
(1984)
Ergebnisse der Mathematik
-
-
Fulton, W.1
-
15
-
-
0000936391
-
La détermination des points isolés et de la dimension d'une variété algébrique peut se faire en temps polynomial
-
D. Eisenbud, & L. Robbiano. Cambridge: Cambridge Univ. Press
-
Giusti M., Heintz J. La détermination des points isolés et de la dimension d'une variété algébrique peut se faire en temps polynomial. Eisenbud D., Robbiano L. Computational Algebraic Geometry and Commutative Algebra, Symposia Mathematica. 1993;216-256 Cambridge Univ. Press, Cambridge.
-
(1993)
Computational Algebraic Geometry and Commutative Algebra, Symposia Mathematica
, pp. 216-256
-
-
Giusti, M.1
Heintz, J.2
-
16
-
-
0031142051
-
Lower bounds for diophantine approximation
-
Giusti M., Hägele K., Heintz J., Morais J. E., Montaña J. L., Pardo L. M. Lower bounds for diophantine approximation. J. Pure Appl. Algebra. 117-118:1997;277-317.
-
(1997)
J. Pure Appl. Algebra
, vol.117-118
, pp. 277-317
-
-
Giusti, M.1
Hägele, K.2
Heintz, J.3
Morais, J.E.4
Montaña, J.L.5
Pardo, L.M.6
-
18
-
-
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. 124:1998;101-146.
-
(1998)
J. Pure Appl. Algebra
, vol.124
, pp. 101-146
-
-
Giusti, M.1
Heintz, J.2
Morais, J.E.3
Morgenstern, J.4
Pardo, L.M.5
-
20
-
-
85034753633
-
Algebraic solution of systems of polynomial equations using Gröbner bases
-
New York/Berlin: Springer-Verlag. p. 247-257
-
Gianni P., Mora T. Algebraic solution of systems of polynomial equations using Gröbner bases. Proceedings AAECC-5. Lecture Notes in Comput. Sci. 356:1989;Springer-Verlag, New York/Berlin. p. 247-257.
-
(1989)
Proceedings AAECC-5 Lecture Notes in Comput. Sci.
, vol.356
-
-
Gianni, P.1
Mora, T.2
-
21
-
-
85025493187
-
Solving systems of polynomial inequalities in sub-exponential time
-
Grigoriev D. Yu., Vorobjov N. N. Jr. Solving systems of polynomial inequalities in sub-exponential time. J. Symbolic Comput. 5:1988;37-64.
-
(1988)
J. Symbolic Comput.
, vol.5
, pp. 37-64
-
-
Grigoriev, D.yu.1
Vorobjov N.N., Jr.2
-
22
-
-
0000627865
-
Definability and fast quantifier elimination in algebraically closed fields
-
Heintz J. Definability and fast quantifier elimination in algebraically closed fields. Theoret. Comput. Sci. 24:1983;239-277.
-
(1983)
Theoret. Comput. Sci.
, vol.24
, pp. 239-277
-
-
Heintz, J.1
-
23
-
-
24444444860
-
-
On the intrinsic complexity of the arithmetic Nullstellensatz in press
-
K. Hägele, J. E. Morais, L. M. Pardo, and, M. Sombra, On the intrinsic complexity of the arithmetic Nullstellensatz, J. Pure Appl. Algebra, in press.
-
J. Pure Appl. Algebra
-
-
Hägele, K.1
Morais, J.E.2
Pardo, L.M.3
Sombra, M.4
-
25
-
-
0003824134
-
Generic local structure of the morphisms in commutative algebra
-
New York/Berlin: Springer-Verlag
-
Iversen B. Generic local structure of the morphisms in commutative algebra. Lecture Notes in Math. 1973;Springer-Verlag, New York/Berlin.
-
(1973)
Lecture Notes in Math.
-
-
Iversen, B.1
-
28
-
-
0348135358
-
Minimum degree solutions for the inverse kinematics problem by application of the Buchberger algorithm
-
New York/Berlin: Springer-Verlag
-
Kovacs P. Minimum degree solutions for the inverse kinematics problem by application of the Buchberger algorithm. Proceedings of the 2nd Int. Workshop on Advances in Robot Kinematics, University of Linz, Austria, September 10-12, 1990. 1990;Springer-Verlag, New York/Berlin.
-
(1990)
Proceedings of the 2nd Int. Workshop on Advances in Robot Kinematics, University of Linz, Austria, September 10-12, 1990
-
-
Kovacs, P.1
-
29
-
-
0000697864
-
A computational method for diophantine approximation
-
L. González-Vega, & T. Recio. Algorithms in Algebraic Geometry and Applications, Proceedings of MEGA'94. Basel: Birkhäuser Verlag
-
Krick T., Pardo L. M. A computational method for diophantine approximation. González-Vega L., Recio T. Algorithms in Algebraic Geometry and Applications, Proceedings of MEGA'94. Progress in Mathematics. 143:1996;193-254 Birkhäuser Verlag, Basel.
-
(1996)
Progress in Mathematics
, vol.143
, pp. 193-254
-
-
Krick, T.1
Pardo, L.M.2
-
30
-
-
84941839155
-
Grundzüge einer arithmetischen Theorie de algebraischen Grössen
-
Kronecker L. Grundzüge einer arithmetischen Theorie de algebraischen Grössen. J. Reine Angew. Math. 92:1882;1-22.
-
(1882)
J. Reine Angew. Math.
, vol.92
, pp. 1-22
-
-
Kronecker, L.1
-
36
-
-
0001385710
-
Solving special polynomial systems by using structural matrices and algebraic residues
-
F. Cucker, & M. Shub. New York/Berlin: Springer-Verlag
-
Mourrain B., Pan V. Solving special polynomial systems by using structural matrices and algebraic residues. Cucker F., Shub M. Proceedings Foundations of Computational Mathematics, FOCM'97. 1997;287-304 Springer-Verlag, New York/Berlin.
-
(1997)
Proceedings Foundations of Computational Mathematics, FOCM'97
, pp. 287-304
-
-
Mourrain, B.1
Pan, V.2
-
37
-
-
0007058638
-
Introduction to the theory of analytic spaces
-
New York/Berlin: Springer-Verlag
-
Narasimhan R. Introduction to the theory of analytic spaces. Lecture Notes in Math. 1966;Springer-Verlag, New York/Berlin.
-
(1966)
Lecture Notes in Math.
-
-
Narasimhan, R.1
-
38
-
-
85025505234
-
On the computational complexity and geometry of the first-order theory of the reals. Part I. Introduction, preliminaries, the geometry of semi-algebraic sets, the decision problem for the existential theory of the reals
-
Renegar J. On the computational complexity and geometry of the first-order theory of the reals. Part I. Introduction, preliminaries, the geometry of semi-algebraic sets, the decision problem for the existential theory of the reals. J. Symbolic Comput. 13:1992;255-299.
-
(1992)
J. Symbolic Comput.
, vol.13
, pp. 255-299
-
-
Renegar, J.1
-
39
-
-
51249166721
-
On the affine Bézout inequality
-
Schmid J. On the affine Bézout inequality. Manuscripta Math. 88:1995;225-232.
-
(1995)
Manuscripta Math.
, vol.88
, pp. 225-232
-
-
Schmid, J.1
-
41
-
-
0031139062
-
Bounds for the Hilbert function of polynomial ideals and for the degrees in the Nullstellensatz
-
Sombra M. Bounds for the Hilbert function of polynomial ideals and for the degrees in the Nullstellensatz. J. Pure Appl. Algebra. 117-118:1997;565-599.
-
(1997)
J. Pure Appl. Algebra
, vol.117-118
, pp. 565-599
-
-
Sombra, M.1
-
42
-
-
84968505377
-
Complexity of Bézout's theorem. I. Geometric aspects
-
Shub M., Smale S. Complexity of Bézout's theorem. I. Geometric aspects. J. Amer. Math. Soc. 6:1993;459-501.
-
(1993)
J. Amer. Math. Soc.
, vol.6
, pp. 459-501
-
-
Shub, M.1
Smale, S.2
-
43
-
-
0000537756
-
Complexity of Bézout's theorem. II. Volumes and probabilities
-
Basel: Birkhäuser Verlag. p. 267-285
-
Shub M., Smale S. Complexity of Bézout's theorem. II. Volumes and probabilities. Proceedings of MEGA'92. Progress in Mathematics. 109:1993;Birkhäuser Verlag, Basel. p. 267-285.
-
(1993)
Proceedings of MEGA'92 Progress in Mathematics
, vol.109
-
-
Shub, M.1
Smale, S.2
-
44
-
-
0002102930
-
Complexity of Bézout's theorem. III. Condition number and packing
-
Shub M., Smale S. Complexity of Bézout's theorem. III. Condition number and packing. J. Complexity. 9:1993;4-14.
-
(1993)
J. Complexity
, vol.9
, pp. 4-14
-
-
Shub, M.1
Smale, S.2
-
45
-
-
0028516294
-
Complexity of Bézout's theorem. V. Polynomial time
-
Shub M., Smale S. Complexity of Bézout's theorem. V. Polynomial time. Theoret. Comput. Sci. 133:1994;141-164.
-
(1994)
Theoret. Comput. Sci.
, vol.133
, pp. 141-164
-
-
Shub, M.1
Smale, S.2
-
46
-
-
0000874914
-
Bounds for traces in complete intersections and degrees in the Nullstellensatz
-
Sabia J., Solernó P. Bounds for traces in complete intersections and degrees in the Nullstellensatz. Appl. Algebra Engrg. Comm. Comput. 6:1996;353-376.
-
(1996)
Appl. Algebra Engrg. Comm. Comput.
, vol.6
, pp. 353-376
-
-
Sabia, J.1
Solernó, P.2
-
47
-
-
0000675799
-
Complexity of Bezout's theorem. IV. Probability of success and extensions
-
Shub M., Smale S. Complexity of Bezout's theorem. IV. Probability of success and extensions. SIAM J. Numer. Anal. 33:1996;128-148.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 128-148
-
-
Shub, M.1
Smale, S.2
-
48
-
-
84961475121
-
Vermeidung von Divisionen
-
Strassen V. Vermeidung von Divisionen. J. Reine Angew. Math. 264:1973;182-202.
-
(1973)
J. Reine Angew. Math.
, vol.264
, pp. 182-202
-
-
Strassen, V.1
-
50
-
-
84955619805
-
Computations of the Galois groups of the resolvent factors for the direct and indirect Galois problem
-
M. Giusti, G. Cohen, & T. Mora. Lecture Notes in Comput. Sci. New York/Berlin: Springer-Verlag
-
Vallibouze A. Computations of the Galois groups of the resolvent factors for the direct and indirect Galois problem. Giusti M., Cohen G., Mora T. Proceedings of AAECC-11. Lecture Notes in Comput. Sci. 948:1995;456-468 Springer-Verlag, New York/Berlin.
-
(1995)
Proceedings of AAECC-11
, vol.948
, pp. 456-468
-
-
Vallibouze, A.1
-
51
-
-
0028518349
-
Homotopies for solving polynomial systems within a bounded domain
-
Verschelde J., Haegemans A. Homotopies for solving polynomial systems within a bounded domain. Theoret. Comput. Sci. 133:1994;165-185.
-
(1994)
Theoret. Comput. Sci.
, vol.133
, pp. 165-185
-
-
Verschelde, J.1
Haegemans, A.2
-
52
-
-
0003539886
-
-
New York/Berlin: Springer-VerlagTata Institute of Fundamental Research
-
Vogel W. Results on Bezout's Theorem. 1984;Springer-VerlagTata Institute of Fundamental Research, New York/Berlin.
-
(1984)
Results on Bezout's Theorem
-
-
Vogel, W.1
-
53
-
-
84957621752
-
Parallel arithmetic computations: A survey
-
B. Rovan, J. Gruska, & J. Wiedermann. Lecture Notes in Comput. Sci. New York/Berlin: Springer-Verlag
-
von zur Gathen J. Parallel arithmetic computations: A survey. Rovan B., Gruska J., Wiedermann J. Proceedings of the 12th Symposium on Mathematical Foundations of Computer Science. Lecture Notes in Comput. Sci. 233:1986;93-112 Springer-Verlag, New York/Berlin.
-
(1986)
Proceedings of the 12th Symposium on Mathematical Foundations of Computer Science
, vol.233
, pp. 93-112
-
-
Von Zur Gathen, J.1
-
55
-
-
0003512241
-
Groebner Bases: A Computational Approach to Commutative Algebra
-
New York/Berlin: Springer-Verlag
-
Weispfenning V., Becker T. Groebner Bases: A Computational Approach to Commutative Algebra. Graduate Texts in Mathematics. 141:1993;Springer-Verlag, New York/Berlin.
-
(1993)
Graduate Texts in Mathematics
, vol.141
-
-
Weispfenning, V.1
Becker, T.2
-
56
-
-
0004105164
-
Algebraic Surfaces
-
New York/Berlin: Springer-Verlag
-
Zariski O. Algebraic Surfaces. Classics in Mathematics. 1995;Springer-Verlag, New York/Berlin.
-
(1995)
Classics in Mathematics
-
-
Zariski, O.1
|