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Author ID: giusti.marc Recent zbMATH articles by "Giusti, Marc"
Published as: Giusti, Marc; Giusti, M.

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 813 times in 372 Documents Cited by Year
A Gröbner free alternative for polynomial system solving. Zbl 1003.12005
Giusti, Marc; Lecerf, Grégoire; Salvy, Bruno
105
2001
Straight-line programs in geometric elimination theory. Zbl 0944.12004
Giusti, M.; Heintz, J.; Morais, J. E.; Morgenstern, J.; Pardo, Luis M.
69
1998
Some effectivity problems in polynomial ideal theory. Zbl 0585.13010
Giusti, M.
50
1984
Lower bounds for diophantine approximations. Zbl 0871.68101
Giusti, M.; Heintz, J.; Hägele, K.; Morais, J. E.; Pardo, L. M.; Montaña, J. L.
48
1997
When polynomial equation systems can be “solved” fast? Zbl 0902.12005
Giusti, M.; Heintz, J.; Morais, J. E.; Pardo, L. M.
44
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
35
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
31
1991
Polar varieties and efficient real elimination. Zbl 1073.14554
Bank, B.; Giusti, M.; Heintz, J.; Mbakop, G. M.
31
2001
On the geometry of polar varieties. Zbl 1186.14060
Bank, Bernd; Giusti, Marc; Heintz, Joos; Safey El Din, Mohab; Schost, Eric
30
2010
On location and approximation of clusters of zeros of analytic functions. Zbl 1109.65046
Giusti, M.; Lecerf, G.; Salvy, B.; Yakoubsohn, J.-C.
29
2005
Generalized polar varieties: geometry and algorithms. Zbl 1085.14047
Bank, B.; Giusti, M.; Heintz, J.; Pardo, Luis M.
27
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.
26
2007
The hardness of polynomial equation solving. Zbl 1049.68070
Castro, D.; Giusti, M.; Heintz, J.; Matera, G.; Pardo, Luis M.
26
2003
Polar varieties, real equation solving, and data structures: the hypersurface case. Zbl 0872.68066
Bank, B.; Giusti, M.; Heintz, J.; Mbakop, G. M.
26
1997
Classification des singularites isolees d’intersections completes simples. Zbl 0346.32015
Giusti, Marc
25
1977
On the efficiency of effective Nullstellensätze. Zbl 0824.68051
Giusti, Marc; Heintz, Joos; Sabia, Juan
24
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
22
1991
Generalized polar varieties and an efficient real elimination. Zbl 1249.14019
Bank, Bernd; Giusti, Marc; Heintz, Joos; Pardo, Luis M.
20
2004
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
17
1997
On the complexity of the Nullstellensatz. (Sur la complexité du théorème des zéros.) Zbl 0868.12008
Fitchas, Noaï; Giusti, Marc; Smietanski, Frédéric
15
1995
Kronecker’s smart, little black boxes. Zbl 0978.65043
Giusti, Marc; Heintz, Joos
12
2001
Sur les singularités isolées d’intersections complètes quasi-homogènes. Zbl 0353.14003
Giusti, Marc
11
1977
Classification des singularites isolees simples d’intersections completes. Zbl 0525.32006
Giusti, Marc
11
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.
10
1982
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
10
2000
Intrinsic complexity estimates in polynomial optimization. Zbl 1302.65296
Bank, Bernd; Giusti, Marc; Heintz, Joos; Safey El Din, Mohab
9
2014
Combinatorial dimension theory of algebraic varieties. Zbl 0697.14001
Giusti, Marc
7
1988
Multiplicity hunting and approximating multiple roots of polynomial systems. Zbl 1320.13034
Giusti, M.; Yakoubsohn, J.-C.
7
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
6
2012
Degeneracy loci and polynomial equation solving. Zbl 1341.14022
Bank, Bernd; Giusti, Marc; Heintz, Joos; Lecerf, Grégoire; Matera, Guillermo; Solernó, Pablo
6
2015
On the intrinsic complexity of point finding in real singular hypersurfaces. Zbl 1206.68136
Bank, Bernd; Giusti, Marc; Heintz, Joos; Pardo, Luis Miguel
5
2009
Séminaire sur les singularités. (Seminar on singularities). (Université Paris VII, 1976-1977). Zbl 0624.32001
4
1980
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
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
3
2020
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
2
1995
Point searching in real singularcomplete intersection varieties: algorithms of intrinsic complexity. Zbl 1281.68239
Bank, Bernd; Giusti, Marc; Heintz, Joos
2
2014
Polar varieties and efficient real equation solving: The hypersurface case. Zbl 0944.12005
Bank, B.; Giusti, M.; Heintz, J.; Mandel, R.; Mbakop, G. M.
1
1997
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
3
2020
Degeneracy loci and polynomial equation solving. Zbl 1341.14022
Bank, Bernd; Giusti, Marc; Heintz, Joos; Lecerf, Grégoire; Matera, Guillermo; Solernó, Pablo
6
2015
Intrinsic complexity estimates in polynomial optimization. Zbl 1302.65296
Bank, Bernd; Giusti, Marc; Heintz, Joos; Safey El Din, Mohab
9
2014
Point searching in real singularcomplete intersection varieties: algorithms of intrinsic complexity. Zbl 1281.68239
Bank, Bernd; Giusti, Marc; Heintz, Joos
2
2014
Multiplicity hunting and approximating multiple roots of polynomial systems. Zbl 1320.13034
Giusti, M.; Yakoubsohn, J.-C.
7
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
6
2012
On the geometry of polar varieties. Zbl 1186.14060
Bank, Bernd; Giusti, Marc; Heintz, Joos; Safey El Din, Mohab; Schost, Eric
30
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
5
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.
26
2007
On location and approximation of clusters of zeros of analytic functions. Zbl 1109.65046
Giusti, M.; Lecerf, G.; Salvy, B.; Yakoubsohn, J.-C.
29
2005
Generalized polar varieties: geometry and algorithms. Zbl 1085.14047
Bank, B.; Giusti, M.; Heintz, J.; Pardo, Luis M.
27
2005
Generalized polar varieties and an efficient real elimination. Zbl 1249.14019
Bank, Bernd; Giusti, Marc; Heintz, Joos; Pardo, Luis M.
20
2004
The hardness of polynomial equation solving. Zbl 1049.68070
Castro, D.; Giusti, M.; Heintz, J.; Matera, G.; Pardo, Luis M.
26
2003
A Gröbner free alternative for polynomial system solving. Zbl 1003.12005
Giusti, Marc; Lecerf, Grégoire; Salvy, Bruno
105
2001
Polar varieties and efficient real elimination. Zbl 1073.14554
Bank, B.; Giusti, M.; Heintz, J.; Mbakop, G. M.
31
2001
Kronecker’s smart, little black boxes. Zbl 0978.65043
Giusti, Marc; Heintz, Joos
12
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
10
2000
Straight-line programs in geometric elimination theory. Zbl 0944.12004
Giusti, M.; Heintz, J.; Morais, J. E.; Morgenstern, J.; Pardo, Luis M.
69
1998
Lower bounds for diophantine approximations. Zbl 0871.68101
Giusti, M.; Heintz, J.; Hägele, K.; Morais, J. E.; Pardo, L. M.; Montaña, J. L.
48
1997
Polar varieties, real equation solving, and data structures: the hypersurface case. Zbl 0872.68066
Bank, B.; Giusti, M.; Heintz, J.; Mbakop, G. M.
26
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
17
1997
Polar varieties and efficient real equation solving: The hypersurface case. Zbl 0944.12005
Bank, B.; Giusti, M.; Heintz, J.; Mandel, R.; Mbakop, G. M.
1
1997
When polynomial equation systems can be “solved” fast? Zbl 0902.12005
Giusti, M.; Heintz, J.; Morais, J. E.; Pardo, L. M.
44
1995
On the complexity of the Nullstellensatz. (Sur la complexité du théorème des zéros.) Zbl 0868.12008
Fitchas, Noaï; Giusti, Marc; Smietanski, Frédéric
15
1995
Applied algebra, algebraic algorithms and error-correcting codes. 11th international symposium, AAECC-11, Paris, France, July 17–22, 1995. Proceedings. Zbl 0847.00060
2
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
35
1993
On the efficiency of effective Nullstellensätze. Zbl 0824.68051
Giusti, Marc; Heintz, Joos; Sabia, Juan
24
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
31
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
22
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.
50
1984
Classification des singularites isolees simples d’intersections completes. Zbl 0525.32006
Giusti, Marc
11
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.
10
1982
Séminaire sur les singularités. (Seminar on singularities). (Université Paris VII, 1976-1977). Zbl 0624.32001
4
1980
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
25
1977
Sur les singularités isolées d’intersections complètes quasi-homogènes. Zbl 0353.14003
Giusti, Marc
11
1977
all top 5

Cited by 419 Authors

25 Safey El Din, Mohab
20 Pardo, Luis Miguel
19 Heintz, Joos
19 Jeronimo, Gabriela
19 Schost, Éric
18 Giusti, Marc
14 Matera, Guillermo
14 Solernó, Pablo
12 Hashemi, Amir
12 Sabia, Juan
10 Bank, Bernd
10 Lecerf, Grégoire
9 Mora, Teo
9 Zhi, Lihong
8 Mourrain, Bernard
7 D’Alfonso, Lisi
7 Hauenstein, Jonathan D.
6 Galligo, André
6 Goryunov, Victor V.
6 Rouillier, Fabrice
6 Tsigaridas, Elias P.
5 Cheng, Jinsan
5 Dickenstein, Alicia M.
5 Li, Nan
5 Naldi, Simone
5 Pouget, Marc
5 Scheiblechner, Peter
5 Seiler, Werner M.
5 Szántó, Ágnes
4 Dahan, Xavier
4 D’Andrea, Carlos
4 Emiris, Ioannis Z.
4 Faugère, Jean-Charles
4 Henrion, Didier
4 Leykin, Anton
4 Montaña, José Luis
4 Rojas, J. Maurice
4 Sagraloff, Michael
4 Salvy, Bruno
4 van der Hoeven, Joris
4 Vu, Thi Xuan
3 Batra, Prashant
3 Beltrán, Carlos E.
3 Bouzidi, Yacine
3 Briançon, Joël
3 Bürgisser, Peter
3 Dratman, Ezequiel
3 Gaudry, Pierrick
3 Giménez, Nardo
3 Grigor’ev, Dmitriĭ Yur’evich
3 Hägele, Klemens
3 Herrero, María Isabel
3 Hussain, Naveed
3 Koiran, Pascal
3 Kuijpers, Bart H. M.
3 Labahn, George
3 Lazard, Sylvain
3 McCullough, Jason
3 Möller, Hans Michael
3 Morais, Jose Enrique
3 Moreno Maza, Marc
3 Moroz, Guillaume
3 Ollivier, François
3 Parnian, Hossein
3 Peeva, Irena V.
3 Perrucci, Daniel
3 Sedoglavic, Alexandre
3 Sharma, Vikram
3 Sommese, Andrew John
3 Spaenlehauer, Pierre-Jean
3 Verschelde, Jan
3 Waissbein, Ariel
3 Yakoubsohn, Jean-Claude
3 Yap, Chee-Keng
3 Yau, Stephen Shing-Toung
3 Zuo, Huaiqing
2 Abelard, Simon
2 Aldaz, Mikel
2 Aleksandrov, Aleksandr Grigor’evich
2 Astashov, Evgeniĭ Aleksandrovich
2 Aubry, Philippe
2 Basu, Saugata
2 Becker, Ruben
2 Burr, Michael A.
2 Cafure, Antonio
2 Castro, David
2 Caviglia, Giulio
2 Ceria, Michela
2 Chistov, Alexandre L.
2 Cucker, Felipe
2 Cunha, Rainelly
2 Dou, Xiaojie
2 Duff, Timothy
2 Durvye, Clémence
2 Elkadi, Mohamed
2 Fitchas, Noaï
2 Frühbis-Krüger, Anne
2 Grimson, Rafael
2 Guo, Feng
2 Gusein-Zade, Sabir M.
...and 319 more Authors
all top 5

Cited in 92 Serials

89 Journal of Symbolic Computation
35 Journal of Complexity
21 Journal of Pure and Applied Algebra
19 Applicable Algebra in Engineering, Communication and Computing
15 Theoretical Computer Science
10 Journal of Algebra
9 Foundations of Computational Mathematics
8 Mathematics of Computation
7 Discrete & Computational Geometry
5 Mathematics in Computer Science
4 Annales de l’Institut Fourier
4 Journal of Soviet Mathematics
4 Mathematics and Computers in Simulation
4 Advances in Applied Mathematics
4 Numerical Algorithms
4 Journal of Mathematical Sciences (New York)
4 Journal of Algebra and its Applications
3 Communications in Algebra
3 Discrete Applied Mathematics
3 Functional Analysis and its Applications
3 Journal of Computational and Applied Mathematics
3 Mathematische Annalen
3 Mathematische Zeitschrift
3 Proceedings of the American Mathematical Society
3 Transactions of the American Mathematical Society
3 Computational Complexity
3 SIAM Journal on Applied Algebra and Geometry
2 Information Processing Letters
2 Nonlinearity
2 Bulletin de la Société Mathématique de France
2 Compositio Mathematica
2 Computing
2 Journal of the American Mathematical Society
2 SIAM Journal on Optimization
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Experimental Mathematics
2 Finite Fields and their Applications
2 Annals of Mathematics and Artificial Intelligence
2 Journal of Systems Science and Complexity
2 ACM Communications in Computer Algebra
1 Computers & Mathematics with Applications
1 Computer Physics Communications
1 Letters in Mathematical Physics
1 Mathematical Notes
1 Bulletin of Mathematical Biology
1 Journal of Geometry and Physics
1 Acta Mathematica
1 Advances in Mathematics
1 Canadian Journal of 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 Journal of the London Mathematical Society. Second Series
1 Kodai Mathematical Journal
1 Kybernetika
1 Le Matematiche
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 SIAM Journal on Discrete Mathematics
1 Forum Mathematicum
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 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Journal de Théorie des Nombres de Bordeaux
1 Applied and Computational Harmonic Analysis
1 St. Petersburg Mathematical Journal
1 ETNA. Electronic Transactions on Numerical Analysis
1 Journal of the ACM
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Contemporary Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Complex Variables and Elliptic Equations
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Commutative Algebra
1 Forum of Mathematics, Pi
1 Mathematics
1 EMS Surveys in Mathematical Sciences
1 Annales Henri Lebesgue
all top 5

Cited in 43 Fields

178 Computer science (68-XX)
155 Algebraic geometry (14-XX)
139 Commutative algebra (13-XX)
83 Numerical analysis (65-XX)
45 Field theory and polynomials (12-XX)
34 Several complex variables and analytic spaces (32-XX)
21 Number theory (11-XX)
17 Global analysis, analysis on manifolds (58-XX)
13 Functions of a complex variable (30-XX)
10 Combinatorics (05-XX)
9 Convex and discrete geometry (52-XX)
9 Operations research, mathematical programming (90-XX)
9 Information and communication theory, circuits (94-XX)
8 Real functions (26-XX)
8 Ordinary differential equations (34-XX)
6 Mathematical logic and foundations (03-XX)
6 Manifolds and cell complexes (57-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Systems theory; control (93-XX)
4 Associative rings and algebras (16-XX)
3 Partial differential equations (35-XX)
3 Differential geometry (53-XX)
3 Algebraic topology (55-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 General algebraic systems (08-XX)
2 Approximations and expansions (41-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Nonassociative rings and algebras (17-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 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Quantum theory (81-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year