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Luis M. Pardo
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Cited by
Year
Straight-line programs in geometric elimination theory
M Giusti, J Heintz, JE Morais, J Morgenstem, LM Pardo
Journal of pure and applied algebra 124 (1-3), 101-146, 1998
2301998
Sharp estimates for the arithmetic Nullstellensatz
T Krick, LM Pardo, M Sombra
1962001
Lower bounds for Diophantine approximations
M Giusti, J Heintz, K Hägele, JE Morais, LM Pardo, JL Montana
Journal of Pure and Applied Algebra 117, 277-317, 1997
1821997
When polynomial equation systems can be “solved” fast?
M Giusti, J Heintz, JE Morais, LM Pardo
Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 11th …, 1995
1601995
A computational method for diophantine approximation
T Krick, LM Pardo
Algorithms in algebraic geometry and applications, 193-253, 1996
1441996
Smale’s 17th problem: average polynomial time to compute affine and projective solutions
C Beltrán, L Pardo
Journal of the American Mathematical Society 22 (2), 363-385, 2009
922009
Generalized polar varieties: Geometry and algorithms
B Bank, M Giusti, J Heintz, LM Pardo
Journal of complexity 21 (4), 377-412, 2005
922005
How lower and upper complexity bounds meet in elimination theory
LM Pardo
International Symposium on Applied Algebra, Algebraic Algorithms, and Error …, 1995
881995
The hardness of polynomial equation solving
D Castro, M Giusti, J Heintz, G Matera, LM Pardo
Foundations of Computational Mathematics 3, 347-420, 2003
792003
Fast linear homotopy to find approximate zeros of polynomial systems
C Beltrán, LM Pardo
Foundations of Computational Mathematics 11 (1), 95-129, 2011
742011
On Smale's 17th problem: a probabilistic positive solution
C Beltrán, LM Pardo
Foundations of Computational Mathematics 8, 1-43, 2008
632008
Le rôle des structures de données dans les problèmes d'élimination
M Giusti, J Heintz, JE Morais, LM Pardo
Comptes Rendus de l'Académie des Sciences-Series I-Mathematics 325 (11 …, 1997
581997
Generalized polar varieties and an efficient real elimination
B Bank, M Giusti, J Heintz, LM Pardo
Kybernetika 40 (5), [519]-550, 2004
562004
Lower bounds for arithmetic networks
JL Montana, LM Pardo
Applicable Algebra in Engineering, Communication and Computing 4, 1-24, 1993
551993
On the intrinsic complexity of the arithmetic Nullstellensatz
K Hägele, JE Morais, LM Pardo, M Sombra
Journal of Pure and Applied Algebra 146 (2), 103-183, 2000
492000
Kronecker's and Newton's approaches to solving: a first comparison
D Castro, LM Pardo, K Hägele, JE Morais
Journal of complexity 17 (1), 212-303, 2001
472001
Une approche informatique pour l'approximation diophantienne
T Krick, LM Pardo
Comptes rendus de l'Académie des sciences. Série 1, Mathématique 318 (5 …, 1994
471994
Lower bounds for arithmetic networks II: Sum of Betti numbers
JL Montaña, JE Morais, LM Pardo
Applicable Algebra in Engineering, Communication and Computing 7, 41-51, 1996
311996
The distribution of condition numbers of rational data of bounded bit length
D Castro, JL Montaña, LM Pardo, J San Martín
Foundations of Computational Mathematics 2, 1-52, 2002
292002
Estimates on the distribution of the condition number of singular matrices
C Beltrán, LM Pardo
Foundations of Computational Mathematics 7 (1), 87-134, 2007
212007
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