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Giusti, Marc

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Author ID: giusti.marc Recent zbMATH articles by "Giusti, Marc"
Published as: Giusti, Marc; Giusti, M.
Documents Indexed: 47 Publications since 1977, including 2 Books

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 651 times in 295 Documents Cited by Year
A Gröbner free alternative for polynomial system solving. Zbl 1003.12005
Giusti, Marc; Lecerf, Grégoire; Salvy, Bruno
84
2001
Straight-line programs in geometric elimination theory. Zbl 0944.12004
Giusti, M.; Heintz, J.; Morais, J. E.; Morgenstern, J.; Pardo, Luis M.
59
1998
Lower bounds for diophantine approximations. Zbl 0871.68101
Giusti, M.; Heintz, J.; Hägele, K.; Morais, J. E.; Pardo, L. M.; Montaña, J. L.
44
1997
Some effectivity problems in polynomial ideal theory. Zbl 0585.13010
Giusti, M.
36
1984
When polynomial equation systems can be “solved” fast? Zbl 0902.12005
Giusti, M.; Heintz, J.; Morais, J. E.; Pardo, L. M.
36
1995
The determination of isolated points and of the dimension of an algebraic variety can be done in polynomial time. (La détermination des points isolés et de la dimension d’une variété algébrique peut se faire en temps polynomial.) Zbl 0829.14029
Giusti, Marc; Heintz, Joos
32
1993
Polar varieties and efficient real elimination. Zbl 1073.14554
Bank, B.; Giusti, M.; Heintz, J.; Mbakop, G. M.
27
2001
The membership problem for unmixed polynomial ideals is solvable in single exponential time. Zbl 0747.13018
Dickenstein, Alicia; Fitchas, Noaï; Giusti, Marc; Sessa, Carmen
26
1991
The hardness of polynomial equation solving. Zbl 1049.68070
Castro, D.; Giusti, M.; Heintz, J.; Matera, G.; Pardo, Luis M.
25
2003
On the efficiency of effective Nullstellensätze. Zbl 0824.68051
Giusti, Marc; Heintz, Joos; Sabia, Juan
21
1993
Algorithmes - disons rapides - pour la décomposition d’une variété algébrique en composantes irréductibles et équidimensionelles. (So- called fast algorithms for the decomposition of an algebraic variety into irreducible and equidimensional components). Zbl 0755.14018
Giusti, Marc; Heintz, Joos
21
1991
Polar varieties, real equation solving, and data structures: the hypersurface case. Zbl 0872.68066
Bank, B.; Giusti, M.; Heintz, J.; Mbakop, G. M.
21
1997
Generalized polar varieties: geometry and algorithms. Zbl 1085.14047
Bank, B.; Giusti, M.; Heintz, J.; Pardo, Luis M.
21
2005
On location and approximation of clusters of zeros of analytic functions. Zbl 1109.65046
Giusti, M.; Lecerf, G.; Salvy, B.; Yakoubsohn, J.-C.
21
2005
On location and approximation of clusters of zeros: Case of embedding dimension one. Zbl 1124.65047
Giusti, M.; Lecerf, G.; Salvy, B.; Yakoubsohn, J.-C.
20
2007
On the geometry of polar varieties. Zbl 1186.14060
Bank, Bernd; Giusti, Marc; Heintz, Joos; Safey El Din, Mohab; Schost, Eric
18
2010
Classification des singularites isolees d’intersections completes simples. Zbl 0346.32015
Giusti, Marc
17
1977
The role of data structures for elimination problems. (Le rôle des structures de données dans les problèmes d’élimination.) Zbl 0893.68144
Giusti, Marc; Heintz, Joos; Morais, Jose Enrique; Pardo, Luis Miguel
16
1997
Generalized polar varieties and an efficient real elimination. Zbl 1249.14019
Bank, Bernd; Giusti, Marc; Heintz, Joos; Pardo, Luis M.
14
2004
On the complexity of the Nullstellensatz. (Sur la complexité du théorème des zéros.) Zbl 0868.12008
Fitchas, Noaï; Giusti, Marc; Smietanski, Frédéric
13
1995
Kronecker’s smart, little black boxes. Zbl 0978.65043
Giusti, Marc; Heintz, Joos
10
2001
Sur les singularités isolées d’intersections complètes quasi-homogènes. Zbl 0353.14003
Giusti, Marc
10
1977
The Projective Noether Maple Package: Computing the dimension of a projective variety. Zbl 0963.68235
Giusti, Marc; Hägele, Klemens; Lecerf, Grégoire; Marchand, Joël; Salvy, Bruno
8
2000
Classification des singularites isolees simples d’intersections completes. Zbl 0525.32006
Giusti, Marc
7
1983
Combinatorial dimension theory of algebraic varieties. Zbl 0697.14001
Giusti, Marc
7
1988
Intrinsic complexity estimates in polynomial optimization. Zbl 1302.65296
Bank, Bernd; Giusti, Marc; Heintz, Joos; Safey El Din, Mohab
5
2014
Algorithms of intrinsic complexity for point searching in compact real singular hypersurfaces. Zbl 1246.14071
Bank, Bernd; Giusti, Marc; Heintz, Joos; Lehmann, Lutz; Pardo, Luis Miguel
4
2012
Degeneracy loci and polynomial equation solving. Zbl 1341.14022
Bank, Bernd; Giusti, Marc; Heintz, Joos; Lecerf, Grégoire; Matera, Guillermo; Solernó, Pablo
4
2015
Multiplicity hunting and approximating multiple roots of polynomial systems. Zbl 1320.13034
Giusti, M.; Yakoubsohn, J.-C.
4
2013
Singularites isolees et sections planes des variétés déterminantielles. II: Sections de variétés déterminantielles par les plans de coordonnees. Zbl 0509.14004
Giusti, M.; Merle, M.
3
1982
Minorations de nombres de Milnor. Zbl 0461.32003
Giusti, Marc; Henry, Jean-Pierre-Georges
3
1980
Bipolar varieties and real solving of a singular polynomial equation. Zbl 1246.14072
Bank, Bernd; Giusti, Marc; Heintz, Joos; Pardo, Luis Miguel
3
2010
Complexity of standard bases in projective dimension zero. Zbl 1209.13034
Giusti, Marc
3
1989
On the intrinsic complexity of point finding in real singular hypersurfaces. Zbl 1206.68136
Bank, Bernd; Giusti, Marc; Heintz, Joos; Pardo, Luis Miguel
3
2009
Complexity of standard bases in projective dimension zero. II. Zbl 0825.68396
Giusti, Marc
2
1991
Applied algebra, algebraic algorithms and error-correcting codes. 11th international symposium, AAECC-11, Paris, France, July 17-22, 1995. Proceedings. Zbl 0847.00060
Cohen, Gérard (ed.); Giusti, Marc (ed.); Mora, Teo (ed.)
1
1995
Point searching in real singularcomplete intersection varieties: algorithms of intrinsic complexity. Zbl 1281.68239
Bank, Bernd; Giusti, Marc; Heintz, Joos
1
2014
Numerical approximation of multiple isolated roots of analytical systems. (Approximation numérique de racines isolées multiples de systèmes analytiques.) Zbl 1453.65107
Giusti, Marc; Yakoubsohn, Jean-Claude
1
2020
Numerical approximation of multiple isolated roots of analytical systems. (Approximation numérique de racines isolées multiples de systèmes analytiques.) Zbl 1453.65107
Giusti, Marc; Yakoubsohn, Jean-Claude
1
2020
Degeneracy loci and polynomial equation solving. Zbl 1341.14022
Bank, Bernd; Giusti, Marc; Heintz, Joos; Lecerf, Grégoire; Matera, Guillermo; Solernó, Pablo
4
2015
Intrinsic complexity estimates in polynomial optimization. Zbl 1302.65296
Bank, Bernd; Giusti, Marc; Heintz, Joos; Safey El Din, Mohab
5
2014
Point searching in real singularcomplete intersection varieties: algorithms of intrinsic complexity. Zbl 1281.68239
Bank, Bernd; Giusti, Marc; Heintz, Joos
1
2014
Multiplicity hunting and approximating multiple roots of polynomial systems. Zbl 1320.13034
Giusti, M.; Yakoubsohn, J.-C.
4
2013
Algorithms of intrinsic complexity for point searching in compact real singular hypersurfaces. Zbl 1246.14071
Bank, Bernd; Giusti, Marc; Heintz, Joos; Lehmann, Lutz; Pardo, Luis Miguel
4
2012
On the geometry of polar varieties. Zbl 1186.14060
Bank, Bernd; Giusti, Marc; Heintz, Joos; Safey El Din, Mohab; Schost, Eric
18
2010
Bipolar varieties and real solving of a singular polynomial equation. Zbl 1246.14072
Bank, Bernd; Giusti, Marc; Heintz, Joos; Pardo, Luis Miguel
3
2010
On the intrinsic complexity of point finding in real singular hypersurfaces. Zbl 1206.68136
Bank, Bernd; Giusti, Marc; Heintz, Joos; Pardo, Luis Miguel
3
2009
On location and approximation of clusters of zeros: Case of embedding dimension one. Zbl 1124.65047
Giusti, M.; Lecerf, G.; Salvy, B.; Yakoubsohn, J.-C.
20
2007
Generalized polar varieties: geometry and algorithms. Zbl 1085.14047
Bank, B.; Giusti, M.; Heintz, J.; Pardo, Luis M.
21
2005
On location and approximation of clusters of zeros of analytic functions. Zbl 1109.65046
Giusti, M.; Lecerf, G.; Salvy, B.; Yakoubsohn, J.-C.
21
2005
Generalized polar varieties and an efficient real elimination. Zbl 1249.14019
Bank, Bernd; Giusti, Marc; Heintz, Joos; Pardo, Luis M.
14
2004
The hardness of polynomial equation solving. Zbl 1049.68070
Castro, D.; Giusti, M.; Heintz, J.; Matera, G.; Pardo, Luis M.
25
2003
A Gröbner free alternative for polynomial system solving. Zbl 1003.12005
Giusti, Marc; Lecerf, Grégoire; Salvy, Bruno
84
2001
Polar varieties and efficient real elimination. Zbl 1073.14554
Bank, B.; Giusti, M.; Heintz, J.; Mbakop, G. M.
27
2001
Kronecker’s smart, little black boxes. Zbl 0978.65043
Giusti, Marc; Heintz, Joos
10
2001
The Projective Noether Maple Package: Computing the dimension of a projective variety. Zbl 0963.68235
Giusti, Marc; Hägele, Klemens; Lecerf, Grégoire; Marchand, Joël; Salvy, Bruno
8
2000
Straight-line programs in geometric elimination theory. Zbl 0944.12004
Giusti, M.; Heintz, J.; Morais, J. E.; Morgenstern, J.; Pardo, Luis M.
59
1998
Lower bounds for diophantine approximations. Zbl 0871.68101
Giusti, M.; Heintz, J.; Hägele, K.; Morais, J. E.; Pardo, L. M.; Montaña, J. L.
44
1997
Polar varieties, real equation solving, and data structures: the hypersurface case. Zbl 0872.68066
Bank, B.; Giusti, M.; Heintz, J.; Mbakop, G. M.
21
1997
The role of data structures for elimination problems. (Le rôle des structures de données dans les problèmes d’élimination.) Zbl 0893.68144
Giusti, Marc; Heintz, Joos; Morais, Jose Enrique; Pardo, Luis Miguel
16
1997
When polynomial equation systems can be “solved” fast? Zbl 0902.12005
Giusti, M.; Heintz, J.; Morais, J. E.; Pardo, L. M.
36
1995
On the complexity of the Nullstellensatz. (Sur la complexité du théorème des zéros.) Zbl 0868.12008
Fitchas, Noaï; Giusti, Marc; Smietanski, Frédéric
13
1995
Applied algebra, algebraic algorithms and error-correcting codes. 11th international symposium, AAECC-11, Paris, France, July 17-22, 1995. Proceedings. Zbl 0847.00060
Cohen, Gérard; Giusti, Marc; Mora, Teo
1
1995
The determination of isolated points and of the dimension of an algebraic variety can be done in polynomial time. (La détermination des points isolés et de la dimension d’une variété algébrique peut se faire en temps polynomial.) Zbl 0829.14029
Giusti, Marc; Heintz, Joos
32
1993
On the efficiency of effective Nullstellensätze. Zbl 0824.68051
Giusti, Marc; Heintz, Joos; Sabia, Juan
21
1993
The membership problem for unmixed polynomial ideals is solvable in single exponential time. Zbl 0747.13018
Dickenstein, Alicia; Fitchas, Noaï; Giusti, Marc; Sessa, Carmen
26
1991
Algorithmes - disons rapides - pour la décomposition d’une variété algébrique en composantes irréductibles et équidimensionelles. (So- called fast algorithms for the decomposition of an algebraic variety into irreducible and equidimensional components). Zbl 0755.14018
Giusti, Marc; Heintz, Joos
21
1991
Complexity of standard bases in projective dimension zero. II. Zbl 0825.68396
Giusti, Marc
2
1991
Complexity of standard bases in projective dimension zero. Zbl 1209.13034
Giusti, Marc
3
1989
Combinatorial dimension theory of algebraic varieties. Zbl 0697.14001
Giusti, Marc
7
1988
Some effectivity problems in polynomial ideal theory. Zbl 0585.13010
Giusti, M.
36
1984
Classification des singularites isolees simples d’intersections completes. Zbl 0525.32006
Giusti, Marc
7
1983
Singularites isolees et sections planes des variétés déterminantielles. II: Sections de variétés déterminantielles par les plans de coordonnees. Zbl 0509.14004
Giusti, M.; Merle, M.
3
1982
Minorations de nombres de Milnor. Zbl 0461.32003
Giusti, Marc; Henry, Jean-Pierre-Georges
3
1980
Classification des singularites isolees d’intersections completes simples. Zbl 0346.32015
Giusti, Marc
17
1977
Sur les singularités isolées d’intersections complètes quasi-homogènes. Zbl 0353.14003
Giusti, Marc
10
1977
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Cited by 345 Authors

19 Heintz, Joos
19 Pardo, Luis Miguel
18 Jeronimo, Gabriela
17 Giusti, Marc
16 Safey El Din, Mohab
14 Matera, Guillermo
14 Schost, Éric
13 Solernó, Pablo
12 Sabia, Juan
10 Bank, Bernd
10 Lecerf, Grégoire
7 D’Alfonso, Lisi
7 Hashemi, Amir
7 Mourrain, Bernard
6 Galligo, André
6 Mora, Teo
6 Rouillier, Fabrice
6 Zhi, Lihong
5 Cheng, Jinsan
5 Dickenstein, Alicia M.
5 Goryunov, Victor V.
5 Hauenstein, Jonathan D.
5 Naldi, Simone
5 Scheiblechner, Peter
4 Emiris, Ioannis Z.
4 Henrion, Didier
4 Montaña, José Luis
4 Pouget, Marc
4 Rojas, J. Maurice
4 Salvy, Bruno
4 Tsigaridas, Elias P.
4 van der Hoeven, Joris
3 Beltrán, Carlos
3 Bouzidi, Yacine
3 Briançon, Joël
3 Chardin, Marc
3 Dahan, Xavier
3 Dratman, Ezequiel
3 Faugère, Jean-Charles
3 Gaudry, Pierrick
3 Giménez, Nardo
3 Grigor’ev, Dmitriĭ Yur’evich
3 Hägele, Klemens
3 Herrero, María Isabel
3 Koiran, Pascal
3 Kuijpers, Bart H. M.
3 Lazard, Sylvain
3 Möller, Hans Michael
3 Morais, Jose Enrique
3 Moreno Maza, Marc
3 Perrucci, Daniel
3 Sagraloff, Michael
3 Sedoglavic, Alexandre
3 Seiler, Werner M.
3 Spaenlehauer, Pierre-Jean
3 Szántó, Ágnes
3 Waissbein, Ariel
3 Yakoubsohn, Jean-Claude
2 Abelard, Simon
2 Aldaz, Mikel
2 Astashov, Evgeniĭ Aleksandrovich
2 Aubry, Philippe
2 Basu, Saugata
2 Bürgisser, Peter
2 Cafure, Antonio
2 Ceria, Michela
2 Chistov, Alexandre L.
2 D’Andrea, Carlos
2 Dou, Xiaojie
2 Durvye, Clémence
2 Elkadi, Mohamed
2 Fitchas, Noaï
2 Frühbis-Krüger, Anne
2 Grimson, Rafael
2 Guo, Feng
2 Gusein-Zade, Sabir M.
2 Helmer, Martin
2 Henry, Jean-Pierre-Georges
2 Hubert, Evelyne
2 Krick, Teresa
2 Lê Tuâń Hoa
2 Leykin, Anton
2 Li, Zhe
2 Morgenstern, Jacques
2 Moroz, Guillaume
2 Privitelli, Melina
2 Puddu, Susana
2 Rieger, Joachim H.
2 Soares Ruas, Maria Aparecida
2 San Martín, Jorge Alonso
2 Sessa, Carmen
2 Sombra, Martín
2 Sommese, Andrew John
2 Sturmfels, Bernd
2 Tang, Xiaoxian
2 Vasconcelos, Wolmer V.
2 Verschelde, Jan
2 Visconti, Andrea
2 Vu, Thi Xuan
2 Wachenchauzer, Rosita
...and 245 more Authors
all top 5

Cited in 82 Serials

68 Journal of Symbolic Computation
35 Journal of Complexity
20 Journal of Pure and Applied Algebra
15 Applicable Algebra in Engineering, Communication and Computing
14 Theoretical Computer Science
8 Foundations of Computational Mathematics
7 Mathematics of Computation
7 Discrete & Computational Geometry
6 Journal of Algebra
4 Journal of Soviet Mathematics
4 Mathematics and Computers in Simulation
4 Journal of Mathematical Sciences (New York)
4 Journal of Algebra and its Applications
4 Mathematics in Computer Science
3 Discrete Applied Mathematics
3 Annales de l’Institut Fourier
3 Journal of Computational and Applied Mathematics
3 Mathematische Annalen
3 Mathematische Zeitschrift
3 Advances in Applied Mathematics
3 Computational Complexity
2 Communications in Algebra
2 Information Processing Letters
2 Bulletin de la Société Mathématique de France
2 Compositio Mathematica
2 Computing
2 Functional Analysis and its Applications
2 Proceedings of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 Numerical Algorithms
2 Finite Fields and their Applications
2 Annals of Mathematics and Artificial Intelligence
1 Computers & Mathematics with Applications
1 Computer Physics Communications
1 Mathematical Notes
1 Nonlinearity
1 Bulletin of Mathematical Biology
1 Acta Mathematica
1 Advances in Mathematics
1 Demonstratio Mathematica
1 Duke Mathematical Journal
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal of Combinatorial Theory. Series A
1 Journal of Computer and System Sciences
1 Kodai Mathematical Journal
1 Kybernetika
1 Le Matematiche
1 Mathematica Scandinavica
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 SIAM Journal on Computing
1 Siberian Mathematical Journal
1 Combinatorica
1 Acta Applicandae Mathematicae
1 Bulletin of the Iranian Mathematical Society
1 Journal of the American Mathematical Society
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Multidimensional Systems and Signal Processing
1 Computational Geometry
1 International Journal of Algebra and Computation
1 Designs, Codes and Cryptography
1 Linear Algebra and its Applications
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Expositiones Mathematicae
1 SIAM Journal on Optimization
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 Journal de Théorie des Nombres de Bordeaux
1 Applied and Computational Harmonic Analysis
1 St. Petersburg Mathematical Journal
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Contemporary Mathematics
1 Journal of Systems Science and Complexity
1 Complex Variables and Elliptic Equations
1 Proceedings of the Steklov Institute of Mathematics
1 ACM Communications in Computer Algebra
1 Journal of Commutative Algebra
1 Mathematics
1 SIAM Journal on Applied Algebra and Geometry
1 Annales Henri Lebesgue
all top 5

Cited in 41 Fields

145 Computer science (68-XX)
127 Algebraic geometry (14-XX)
105 Commutative algebra (13-XX)
65 Numerical analysis (65-XX)
37 Field theory and polynomials (12-XX)
29 Several complex variables and analytic spaces (32-XX)
19 Number theory (11-XX)
15 Global analysis, analysis on manifolds (58-XX)
12 Functions of a complex variable (30-XX)
9 Information and communication theory, circuits (94-XX)
8 Real functions (26-XX)
8 Operations research, mathematical programming (90-XX)
7 Ordinary differential equations (34-XX)
7 Convex and discrete geometry (52-XX)
6 Combinatorics (05-XX)
6 Manifolds and cell complexes (57-XX)
4 Mathematical logic and foundations (03-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Associative rings and algebras (16-XX)
3 History and biography (01-XX)
3 Partial differential equations (35-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Algebraic topology (55-XX)
3 Systems theory; control (93-XX)
2 General algebraic systems (08-XX)
2 Approximations and expansions (41-XX)
2 Differential geometry (53-XX)
2 Statistics (62-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Group theory and generalizations (20-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Operator theory (47-XX)
1 Geometry (51-XX)
1 Probability theory and stochastic processes (60-XX)
1 Mechanics of deformable solids (74-XX)
1 Quantum theory (81-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year