-
1
-
-
3142641823
-
Zeroes, multiplicities and idem-potents for zerodimensional systems, to appear in
-
Birkhäuser Progress in Mathematics
-
M. E. Alonso, E. Becker, M.-F. Roy, T. Wŏrmann: Zeroes, multiplicities and idem-potents for zerodimensional systems, to appear in Proc. MEGA'94, Birkhäuser Progress in Mathematics.
-
Proc. MEGA'94
-
-
Alonso, M.E.1
Becker, E.2
Roy, M.-F.3
Wŏrmann, T.4
-
4
-
-
0021388907
-
On computing the determinant in small parallel time using a small number of processors
-
S. J. Berkowitz: On computing the determinant in small parallel time using a small number of processors, Inf. Proc. Letters 18 (1984) 147-150.
-
(1984)
Inf. Proc. Letters
, vol.18
, pp. 147-150
-
-
Berkowitz, S.J.1
-
5
-
-
0001369361
-
Sur le degré des relations entre polynômes
-
Série I Math
-
J. Briancon: Sur le degré des relations entre polynômes, Comptes Rendues de Acad. des Sci. Paris, t., Série I Math (1982) 553-556.
-
(1982)
Comptes Rendues de Acad. des Sci. Paris, t
, pp. 553-556
-
-
Briancon, J.1
-
6
-
-
0001259424
-
Bounds for the degree in the Nullstellensatz
-
D. W. Brownawell: Bounds for the degree in the Nullstellensatz, Annals of Math. 126 (1987) 577-591.
-
(1987)
Annals of Math
, vol.126
, pp. 577-591
-
-
Brownawell, D.W.1
-
7
-
-
85027644628
-
Some new effectivity bounds in computational geometry
-
T. Mora (Ed.), Springer LN in Comp. Sci
-
L. Caniglia, A. Galligo and J. Heintz: Some new effectivity bounds in computational geometry, In Proc. AAECC-6, T. Mora (Ed.), Springer LN in Comp. Sci. 357(1989) 131-152.
-
Proc. AAECC-6
, vol.357
, Issue.1989
, pp. 131-152
-
-
Caniglia, L.1
Galligo, A.2
Heintz, J.3
-
8
-
-
0001250424
-
Borne simplement exponentielle pour les degrés dans le théorème des zeros sur un corps de caractéristique quelconque
-
L. Caniglia, A. Galligo and J. Heintz: Borne simplement exponentielle pour les degrés dans le théorème des zeros sur un corps de caractéristique quelconque, C. R. Acad. Sci. Paris, Série I, Math. 307 (1988) 255-258.
-
(1988)
C.R. Acad. Sci. Paris, Série I, Math
, vol.307
, pp. 255-258
-
-
Caniglia, L.1
Galligo, A.2
Heintz, J.3
-
13
-
-
0000006297
-
A probabilistic remark on algebraic program testing
-
R. A. De Millo, R. J. Lipton: A probabilistic remark on algebraic program testing, Inf. Proc. Letters, vol. 7, No. 4 (1978) 193-195.
-
(1978)
Inf. Proc. Letters
, vol.7
, Issue.4
, pp. 193-195
-
-
De Millo, R.A.1
Lipton, R.J.2
-
14
-
-
0003208975
-
The membership problem of unmixed ideals is solvable in single exponential time
-
A. Dickenstein, N. Fitchas, M. Giusti, C. Sessa: The membership problem of unmixed ideals is solvable in single exponential time, Discrete Applied Mathematics 33 (1991) 73-94.
-
(1991)
Discrete Applied Mathematics
, vol.33
, pp. 73-94
-
-
Dickenstein, A.1
Fitchas, N.2
Giusti, M.3
Sessa, C.4
-
15
-
-
38249006094
-
A combinatorial proof of Effective Nullstellensatz
-
T. W. Dubé: A combinatorial proof of Effective Nullstellensatz, J. Symb. Comp. 15 (1993) 277-296.
-
(1993)
J. Symb. Comp
, vol.15
, pp. 277-296
-
-
Dubé, T.W.1
-
17
-
-
84955603882
-
Sur la complexité du théorème des zeros, to appear in
-
La Habana, 1993, J. Gudatt, ed., Peter Lang Verlag, Frankfurt
-
N. Fitchas, M. Giusti and F. Smietanski: Sur la complexité du théorème des zeros, to appear in Proceedings of the Second International Conference on Approximation and Optimization, La Habana, 1993, J. Gudatt, ed., Peter Lang Verlag, Frankfurt (1995).
-
(1995)
Proceedings of the Second International Conference on Approximation and Optimization
-
-
Fitchas, N.1
Giusti, M.2
Smietanski, F.3
-
21
-
-
0000936391
-
La determination des points isolés et de la dimension d'une variété algébrique peut se faire en temps polynomial
-
D. Eisenbud and L. Robbiano, eds., Symposia Matematica, vol. XXXIV, Istituto Nazionale di Alta Matematica, Cambridge University Press
-
M. Giusti and J. Heintz: La determination des points isolés et de la dimension d'une variété algébrique peut se faire en temps polynomial, In Computational Algebraic Geometry and Commutative Algebra, Proceedings of the Cortona Conference on Computational Algebraic Geometry and Commutative Algebra, D. Eisenbud and L. Robbiano, eds., Symposia Matematica, vol. XXXIV, Istituto Nazionale di Alta Matematica, Cambridge University Press (1993).
-
(1993)
Computational Algebraic Geometry and Commutative Algebra, Proceedings of the Cortona Conference on Computational Algebraic Geometry and Commutative Algebra
-
-
Giusti, M.1
Heintz, J.2
-
25
-
-
0000627865
-
Fast quantifier elimination over algebraically closed fields
-
J. Heintz: Fast quantifier elimination over algebraically closed fields, Theoret. Comp. Sci. 24 (1983) 239-277.
-
(1983)
Theoret. Comp. Sci
, vol.24
, pp. 239-277
-
-
Heintz, J.1
-
26
-
-
0001365155
-
On the computational complexity of polynomials and bilinear mappings, in
-
Menorca 1987, L. Huguet and A. Poli, eds., Springer LN Comput. Sci
-
J. Heintz: On the computational complexity of polynomials and bilinear mappings, in Proc. 5th International Conference Applied Algebra, Algebraic Algorithms and Error-Correcting Codes AAECC-5, Menorca 1987, L. Huguet and A. Poli, eds., Springer LN Comput. Sci. 356 (1989) 269-300.
-
(1989)
Proc. 5th International Conference Applied Algebra, Algebraic Algorithms and Error-Correcting Codes AAECC-5
, vol.356
, pp. 269-300
-
-
Heintz, J.1
-
27
-
-
0001197574
-
On the intrinsic complexity of elimination theory
-
J. Heintz and J. Morgenstern: On the intrinsic complexity of elimination theory, J. of Complexity 9 (1993) 471-498.
-
(1993)
J. of Complexity
, vol.9
, pp. 471-498
-
-
Heintz, J.1
Morgenstern, J.2
-
28
-
-
84944060784
-
Testing Polynomials which are easy to compute
-
also in Logic and Algorithmic. An International Symposium held in Honour of Ernst Specker, Monographie No. 30 de l'Enseignement de Mathématiques, Genève (1982) 237-254
-
S. Heintz and C. P. Schnorr: Testing Polynomials which are easy to compute, Proc. 12th Ann. ACM Symp. on Computing (1980) 262-268; also in Logic and Algorithmic. An International Symposium held in Honour of Ernst Specker, Monographie No. 30 de l'Enseignement de Mathématiques, Genève (1982) 237-254.
-
(1980)
Proc. 12th Ann. ACM Symp. on Computing
, pp. 262-268
-
-
Heintz, S.1
Schnorr, C.P.2
-
30
-
-
84976819141
-
Probabilistic algorithms for deciding equivalence of straight-line programs
-
O. Ibarra, H. Moran: Probabilistic algorithms for deciding equivalence of straight-line programs, J. ACM 30, Vol. 1, 217-228.
-
J. ACM
, vol.30
, Issue.1
, pp. 217-228
-
-
Ibarra, O.1
Moran, H.2
-
31
-
-
0023826531
-
Greatest common divisors of polynomials given by straight line programs
-
E. Kaltofen: Greatest common divisors of polynomials given by straight line programs, J. ACM 35, No. 1 (1988) 234-264.
-
(1988)
J. ACM
, vol.35
, Issue.1
, pp. 234-264
-
-
Kaltofen, E.1
-
32
-
-
0010017974
-
Factorization of polynomials given by straight-line programs
-
Advances in Computing Research 5, S. Micali, ed., JAI Press Inc., Greenwich, CT
-
E. Kaltofen: Factorization of polynomials given by straight-line programs, Randomness in Computation, Advances in Computing Research 5, S. Micali, ed., JAI Press Inc., Greenwich, CT. (1989) 375-412.
-
(1989)
Randomness in Computation
, pp. 375-412
-
-
Kaltofen, E.1
-
33
-
-
84968474102
-
Sharp Effective NullstÚensatz
-
J. Kollár: Sharp Effective NullstÚensatz, J. of A. M. S. 1 (1988) 963-975.
-
(1988)
J. of A.M.S
, vol.1
, pp. 963-975
-
-
Kollár, J.1
-
34
-
-
0009982510
-
A Computational Method for Diophantine Approximation, To appear in
-
Birkhāuser Progress in Mathematics
-
T. Krick and L. M. Pardo: A Computational Method for Diophantine Approximation, To appear in Proc. MEGA '94, Birkhāuser Progress in Mathematics.
-
Proc. MEGA '94
-
-
Krick, T.1
Pardo, L.M.2
-
35
-
-
0001379976
-
Une approche informatique pour approximation diophanti-enne
-
Série I
-
T. Krick, L. M. Pardo: Une approche informatique pour approximation diophanti-enne, Comptes Rendues de I'Acad. des Sci. Paris, t. 318, Série I, no. 5, (1994) 407-412.
-
(1994)
Comptes Rendues de I'Acad. des Sci. Paris
, vol.318
, Issue.5
, pp. 407-412
-
-
Krick, T.1
Pardo, L.M.2
-
36
-
-
0003367986
-
On the complexity of zero-dimensional algebraic systems
-
Birkhāuser Boston
-
Y. N. Lakshman, D. Lazard: On the complexity of zero-dimensional algebraic systems, Effective methods in algebraic geometry (Castiglioncello, 1990), Prog. Math., vol. 94, Birkhāuser Boston (1991) 217-225.
-
(1991)
Effective methods in algebraic geometry (Castiglioncello, 1990), Prog. Math
, vol.94
, pp. 217-225
-
-
Lakshman, Y.N.1
Lazard, D.2
-
37
-
-
0002548511
-
Resolution des systèmes d'équations algébriques
-
D. Lazard: Resolution des systèmes d'équations algébriques, Theor. Comp. Sci. 15 (1981) 77-110.
-
(1981)
Theor. Comp. Sci
, vol.15
, pp. 77-110
-
-
Lazard, D.1
-
39
-
-
84955559567
-
Systems of algebraic equations solved by means of endomorphisms, in
-
Puerto Rico G. Cohen, T. Mora and O. Moreno, eds., Springer LN Comput. Sci
-
M. Moeller: Systems of algebraic equations solved by means of endomorphisms, in Proc. 10th International Conference Applied Algebra, Algebraic Algorithms and Error-Correcting Codes AAECC-10, Puerto Rico 1993, G. Cohen, T. Mora and O. Moreno, eds., Springer LN Comput. Sci.
-
(1993)
Proc. 10th International Conference Applied Algebra, Algebraic Algorithms and Error-Correcting Codes AAECC-10
-
-
Moeller, M.1
-
40
-
-
0002392671
-
Lower Bounds for Arithmetic Networks
-
J. L. Montana and L. M. Pardo: Lower Bounds for Arithmetic Networks, AAECC, vol. 4 (1993), 1-24.
-
(1993)
AAECC
, vol.4
, pp. 1-24
-
-
Montana, J.L.1
Pardo, L.M.2
-
42
-
-
0002224113
-
Dénominateurs dans le théorème des zeros de Hilbert
-
P. Philippon: Dénominateurs dans le théorème des zeros de Hilbert, Acta. Arith. 58 (1991) 1-25.
-
(1991)
Acta. Arith
, vol.58
, pp. 1-25
-
-
Philippon, P.1
-
43
-
-
84955585053
-
Bounds for traces in complete intersections and degrees in the Nullstellensatz
-
J. Sabia and P. Solernó: Bounds for traces in complete intersections and degrees in the Nullstellensatz, To appear in AAECC Journal (1993).
-
(1993)
To appear in AAECC Journal
-
-
Sabia, J.1
Solernó, P.2
-
44
-
-
84976779342
-
Fast probabilistic algorithms for verification of polynomial identities
-
J. T. Schwartz: Fast probabilistic algorithms for verification of polynomial identities, J. ACM 27 (1980) 701-717.
-
(1980)
J. ACM
, vol.27
, pp. 701-717
-
-
Schwartz, J.T.1
-
45
-
-
0028516294
-
Complexity of Bézout's theorem V: Polynomial time
-
M. Shub, S. Smale: Complexity of Bézout's theorem V: Polynomial time, Theoretical Comp. Sci. 133 (1994) 141-164.
-
(1994)
Theoretical Comp. Sci
, vol.133
, pp. 141-164
-
-
Shub, M.1
Smale, S.2
-
46
-
-
84955612503
-
On the intractability of Hilbert's Nullstellensatz and an algebraic version of
-
Yorktown Heights
-
M. Shub, S. Smale: On the intractability of Hilbert's Nullstellensatz and an algebraic version of NP φ PI, IBM Research Report, Yorktown Heights (1994).
-
(1994)
NP φ PI, IBM Research Report
-
-
Shub, M.1
Smale, S.2
-
49
-
-
84925463455
-
Probabilistic Algorithms for Sparse Polynomials
-
R. E. Zippel: Probabilistic Algorithms for Sparse Polynomials, LNCS, Vol 72 (1979) 216-226.
-
(1979)
LNCS
, vol.72
, pp. 216-226
-
-
Zippel, R.E.1
|