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Safey El Din, Mohab

Author ID: safey-el-din.mohab Recent zbMATH articles by "Safey El Din, Mohab"
Published as: Safey El Din, Mohab; El Din, Mohab Safey; Safey El Din, M.; Din, Mohab Safey El; Safey el Din, Mohab
Homepage: http://www-polsys.lip6.fr/~safey/
External Links: MGP
all top 5

Co-Authors

3 single-authored
15 Schost, Éric
9 Faugère, Jean-Charles
7 Henrion, Didier
7 Naldi, Simone
7 Zhi, Lihong
6 Magron, Victor
5 Berthomieu, Jérémy
5 Spaenlehauer, Pierre-Jean
4 Eder, Christian
4 Lairez, Pierre
4 Rouillier, Fabrice
4 Vu, Thi Xuan
3 Bostan, Alin
3 Ferguson, Andrew L.
3 Greuet, Aurélien
3 Guo, Feng
3 Hong, Hoon
3 Labahn, George
3 Mohr, Rafael
3 Neiger, Vincent
3 Prébet, Rémi
3 Roy, Marie-Françoise
3 Verron, Thibaut
2 Bank, Bernd
2 Bérard, Béatrice
2 Briot, Sébastien
2 Capco, Jose
2 Everett, Hazel
2 Giusti, Marc
2 Gopalakrishnan, Sriram
2 Haddad, Serge
2 Heintz, Joos
2 Lazard, Daniel
2 Lazard, Sylvain
2 Le, Huu Phuoc
2 Mezzarobba, Marc
2 Picaronny, Claudine
2 Riener, Cordian
2 Sassolas, Mathieu
2 Schicho, Josef
2 Schweighofer, Markus
2 Vu, Trung-Hieu
2 Yang, Zhihong
1 Aubry, Philippe
1 Bannwarth, Ivan
1 Basu, Saugata
1 Bonnard, Bernard
1 Caillau, Jean-Baptiste
1 Chablat, Damien
1 Chaumette, François
1 Colotti, Alessandro
1 Combot, Thierry
1 de Wolff, Timo
1 Fawzi, Hamza
1 Fontán, Jorge García
1 Gaillard, Louis
1 Goldsztejn, Alexandre
1 Gouzé, Jean-Luc
1 Guo, Qingdong
1 Hauenstein, Jon D.
1 Jacquemard, Alain
1 Kaihnsa, Nidhi
1 Kermorgant, Olivier
1 Lombardi, Henri
1 Martinet, Philippe
1 Martini, Johannes Wolfgang Robert
1 Moroz, Guillaume
1 Nayak, Abhilash
1 Notarantonio, Hadrien
1 Ottaviani, Giorgio Maria
1 Pascual-Escudero, Beatriz
1 Rohal, James J.
1 Salunkhe, Durgesh
1 Teixeira Turatti, Ettore
1 Wang, Chu
1 Wenger, Philippe
1 Yabo, Agustín Gabriel
1 Yap, Chee-Keng

Publications by Year

Citations contained in zbMATH Open

63 Publications have been cited 629 times in 282 Documents Cited by Year
Polar varieties and computation of one point in each connected component of a smooth real algebraic set. Zbl 1072.68693
Safey El Din, Mohab; Schost, Éric
49
2003
On the geometry of polar varieties. Zbl 1186.14060
Bank, Bernd; Giusti, Marc; Heintz, Joos; Safey El Din, Mohab; Schost, Eric
30
2010
Finding at least one point in each connected component of a real algebraic set defined by a single equation. Zbl 1009.14010
Rouillier, F.; Roy, M.-F.; Safey El Din, M.
27
2000
Testing sign conditions on a multivariate polynomial and applications. Zbl 1126.14068
El Din, Mohab Safey
26
2007
Real solving for positive dimensional systems. Zbl 1046.14031
Aubry, Philippe; Rouillier, Fabrice; Safey El Din, Mohab
26
2002
A nearly optimal algorithm for deciding connectivity queries in smooth and bounded real algebraic sets. Zbl 1426.68311
Safey El Din, Mohab; Schost, Éric
26
2017
Computing loci of rank defects of linear matrices using Gröbner bases and applications to cryptology. Zbl 1321.68529
Faugère, Jean-Charles; El Din, Mohab Safey; Spaenlehauer, Pierre-Jean
25
2010
Exact algorithms for linear matrix inequalities. Zbl 1356.90102
Henrion, Didier; Naldi, Simone; El Din, Mohab Safey
23
2016
Variant quantifier elimination. Zbl 1238.14001
Hong, Hoon; El Din, Mohab Safey
22
2012
Probabilistic algorithm for polynomial optimization over a real algebraic set. Zbl 1327.90232
Greuet, Aurélien; El Din, Mohab Safey
22
2014
Properness defects and projections and computation of at least one point in each connected component of a real algebraic set. Zbl 1067.14057
Safey El Din, Mohab; Schost, Éric
20
2004
Gröbner bases of bihomogeneous ideals generated by polynomials of bidegree \((1,1)\): algorithms and complexity. Zbl 1226.13017
Faugère, Jean-Charles; El Din, Mohab Safey; Spaenlehauer, Pierre-Jean
19
2011
New structure theorem for subresultants. Zbl 0973.12007
Lombardi, Henri; Roy, Marie-Françoise; El Din, Mohab Safey
19
2000
On the complexity of the generalized MinRank problem. Zbl 1302.13026
Faugère, Jean-Charles; El Din, Mohab Safey; Spaenlehauer, Pierre-Jean
17
2013
Global optimization of polynomials using generalized critical values and sums of squares. Zbl 1321.90127
Guo, Feng; El Din, Mohab Safey; Zhi, Lihong
14
2010
A baby step-giant step roadmap algorithm for general algebraic sets. Zbl 1322.14090
Basu, S.; Roy, M.-F.; Safey El Din, M.; Schost, É.
14
2014
Critical points and Gröbner bases: the unmixed case. Zbl 1308.68171
Faugère, Jean-Charles; El Din, Mohab Safey; Spaenlehauer, Pierre-Jean
13
2012
Computing the global optimum of a multivariate polynomial over the reals. Zbl 1487.65072
El Din, Mohab Safey
11
2008
Classification of the perspective-three-point problem, discriminant variety and real solving polynomial systems of inequalities. Zbl 1487.68235
Faugère, Jean-Charles; Moroz, Guillaume; Rouillier, Fabrice; El Din, Mohab Safey
11
2008
Bit complexity for multi-homogeneous polynomial system solving – application to polynomial minimization. Zbl 1391.13056
Safey El Din, Mohab; Schost, Éric
11
2018
A baby steps/giant steps probabilistic algorithm for computing roadmaps in smooth bounded real hypersurface. Zbl 1213.14110
Safey el Din, Mohab; Schost, Éric
10
2011
Computing rational points in convex semialgebraic sets and sum of squares decompositions. Zbl 1279.90127
El Din, Mohab Safey; Zhi, Lihong
9
2010
Global optimization of polynomials restricted to a smooth variety using sums of squares. Zbl 1266.90148
Greuet, Aurélien; Guo, Feng; El Din, Mohab Safey; Zhi, Lihong
9
2012
Intrinsic complexity estimates in polynomial optimization. Zbl 1302.65296
Bank, Bernd; Giusti, Marc; Heintz, Joos; Safey El Din, Mohab
9
2014
On exact Polya and Putinar’s representations. Zbl 1467.90032
Magron, Victor; Safey El Din, Mohab
9
2018
Critical point computations on smooth varieties, degree and complexity bounds. Zbl 1362.14061
Safey El Din, Mohab; Spaenlehauer, Pierre-Jean
8
2016
Algorithms for weighted sum of squares decomposition of non-negative univariate polynomials. Zbl 1420.13058
Magron, Victor; Safey El Din, Mohab; Schweighofer, Markus
8
2019
{RealCertify}: a Maple package for certifying non-negativity. Zbl 1433.68625
Magron, Victor; Safey El Din, Mohab
8
2018
The Voronoi diagram of three lines. Zbl 1221.68268
Everett, Hazel; Lazard, Sylvain; Lazard, Daniel; El Din, Mohab Safey
7
2007
Deciding reachability of the infimum of a multivariate polynomial. Zbl 1323.65074
Greuet, Aurélien; Safey El Din, Mohab
7
2011
Real root finding for equivariant semi-algebraic systems. Zbl 1467.14140
Riener, Cordian; Safey el Din, Mohab
7
2018
Computing the volume of compact semi-algebraic sets. Zbl 1467.14139
Lairez, Pierre; Mezzarobba, Marc; Safey El Din, Mohab
7
2019
On exact Reznick, Hilbert-Artin and Putinar’s representations. Zbl 1476.14102
Magron, Victor; Safey El Din, Mohab
7
2021
Practical and theoretical issues for the computation of generalized critical values of a polynomial mapping. Zbl 1166.65317
Safey El Din, Mohab
6
2008
On the complexity of computing Gröbner bases for quasi-homogeneous systems. Zbl 1360.68930
Faugère, Jean-Charles; Safey El Din, Mohab; Verron, Thibaut
6
2013
Computing rational solutions of linear matrix inequalities. Zbl 1360.68934
Guo, Qingdong; Safey El Din, Mohab; Zhi, Lihong
6
2013
On the complexity of computing real radicals of polynomial systems. Zbl 1467.14141
Safey El Din, Mohab; Yang, Zhi-Hong; Zhi, Lihong
6
2018
Solving determinantal systems using homotopy techniques. Zbl 1461.13034
Hauenstein, Jon D.; Safey El Din, Mohab; Schost, Éric; Vu, Thi Xuan
6
2021
Variant real quantifier elimination: algorithm and application. Zbl 1237.14005
Hong, Hoon; Safey El Din, Mohab
5
2009
Real root finding for rank defects in linear Hankel matrices. Zbl 1345.65024
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab
5
2015
Solving the Birkhoff interpolation problem via the critical point method: An experimental study. Zbl 0985.68079
Rouillier, Fabrice; Safey El Din, Mohab; Schost, Éric
4
2001
Polynomial interrupt timed automata. Zbl 1471.68113
Bérard, Béatrice; Haddad, Serge; Picaronny, Claudine; Safey El Din, Mohab; Sassolas, Mathieu
4
2015
Real root finding for determinants of linear matrices. Zbl 1329.65090
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab
4
2016
Homotopy techniques for solving sparse column support determinantal polynomial systems. Zbl 1495.13040
Labahn, George; Safey El Din, Mohab; Schost, Éric; Vu, Thi Xuan
4
2021
A lower bound on the positive semidefinite rank of convex bodies. Zbl 1391.90456
Fawzi, Hamza; El Din, Mohab Safey
4
2018
The Voronoi diagram of three lines. Zbl 1194.68247
Everett, Hazel; Lazard, Daniel; Lazard, Sylvain; Safey El Din, Mohab
3
2009
Determinantal sets, singularities and application to optimal control in medical imagery. Zbl 1362.13031
Bonnard, Bernard; Faugère, Jean-Charles; Jacquemard, Alain; Safey El Din, Mohab; Verron, Thibaut
3
2016
Robots, computer algebra and eight connected components. Zbl 1486.14075
Capco, Jose; Din, Mohab Safey El; Schicho, Josef
3
2020
A signature-based algorithm for computing the nondegenerate locus of a polynomial system. Zbl 07704551
Eder, Christian; Lairez, Pierre; Mohr, Rafael; El Din, Mohab Safey
3
2023
Probabilistic algorithm for computing the dimension of real algebraic sets. Zbl 1346.68267
Bannwarth, Ivan; Safey El Din, Mohab
3
2015
Computing critical points for invariant algebraic systems. Zbl 1499.14096
Faugère, Jean-Charles; Labahn, George; Safey El Din, Mohab; Schost, Éric; Vu, Thi Xuan
3
2023
Exact algorithms for semidefinite programs with degenerate feasible set. Zbl 1460.90128
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab
3
2021
Computing roadmaps in smooth real algebraic sets. Zbl 1192.65058
Mezzarobba, Marc; El Din, Mohab Safey
2
2006
Computing necessary integrability conditions for planar parametrized homogeneous potentials. Zbl 1325.68266
Bostan, Alin; Combot, Thierry; Safey El Din, Mohab
2
2014
On the complexity of computing Gröbner bases for weighted homogeneous systems. Zbl 1430.13044
Faugère, Jean-Charles; Safey El Din, Mohab; Verron, Thibaut
2
2016
Computing the real isolated points of an algebraic hypersurface. Zbl 1520.14110
Le, Huu Phuoc; Din, Mohab Safey El; de Wolff, Timo
2
2020
Exact algorithms for semidefinite programs with degenerate feasible set. Zbl 1467.90031
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab
2
2018
Computing real radicals and \(S\)-radicals of polynomial systems. Zbl 1448.14061
Safey El Din, Mohab; Yang, Zhi-Hong; Zhi, Lihong
2
2021
Positive dimensional parametric polynomial systems, connectivity queries and applications in robotics. Zbl 1506.14118
Capco, Jose; Safey El Din, Mohab; Schicho, Josef
2
2023
Complete singularity analysis for the perspective-four-point problem. Zbl 1483.68444
Pascual-Escudero, Beatriz; Nayak, Abhilash; Briot, Sébastien; Kermorgant, Olivier; Martinet, Philippe; El Din, Mohab Safey; Chaumette, François
1
2021
Fast algorithms for discrete differential equations. Zbl 07760750
Bostan, Alin; Notarantonio, Hadrien; Safey El Din, Mohab
1
2023
Polynomial interrupt timed automata: verification and expressiveness. Zbl 1475.68145
Bérard, B.; Haddad, S.; Picaronny, C.; Safey El Din, M.; Sassolas, M.
1
2021
Solving parametric systems of polynomial equations over the reals through Hermite matrices. Zbl 1487.14130
Le, Huu Phuoc; Safey El Din, Mohab
1
2022
A signature-based algorithm for computing the nondegenerate locus of a polynomial system. Zbl 07704551
Eder, Christian; Lairez, Pierre; Mohr, Rafael; El Din, Mohab Safey
3
2023
Computing critical points for invariant algebraic systems. Zbl 1499.14096
Faugère, Jean-Charles; Labahn, George; Safey El Din, Mohab; Schost, Éric; Vu, Thi Xuan
3
2023
Positive dimensional parametric polynomial systems, connectivity queries and applications in robotics. Zbl 1506.14118
Capco, Jose; Safey El Din, Mohab; Schicho, Josef
2
2023
Fast algorithms for discrete differential equations. Zbl 07760750
Bostan, Alin; Notarantonio, Hadrien; Safey El Din, Mohab
1
2023
Solving parametric systems of polynomial equations over the reals through Hermite matrices. Zbl 1487.14130
Le, Huu Phuoc; Safey El Din, Mohab
1
2022
On exact Reznick, Hilbert-Artin and Putinar’s representations. Zbl 1476.14102
Magron, Victor; Safey El Din, Mohab
7
2021
Solving determinantal systems using homotopy techniques. Zbl 1461.13034
Hauenstein, Jon D.; Safey El Din, Mohab; Schost, Éric; Vu, Thi Xuan
6
2021
Homotopy techniques for solving sparse column support determinantal polynomial systems. Zbl 1495.13040
Labahn, George; Safey El Din, Mohab; Schost, Éric; Vu, Thi Xuan
4
2021
Exact algorithms for semidefinite programs with degenerate feasible set. Zbl 1460.90128
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab
3
2021
Computing real radicals and \(S\)-radicals of polynomial systems. Zbl 1448.14061
Safey El Din, Mohab; Yang, Zhi-Hong; Zhi, Lihong
2
2021
Complete singularity analysis for the perspective-four-point problem. Zbl 1483.68444
Pascual-Escudero, Beatriz; Nayak, Abhilash; Briot, Sébastien; Kermorgant, Olivier; Martinet, Philippe; El Din, Mohab Safey; Chaumette, François
1
2021
Polynomial interrupt timed automata: verification and expressiveness. Zbl 1475.68145
Bérard, B.; Haddad, S.; Picaronny, C.; Safey El Din, M.; Sassolas, M.
1
2021
Robots, computer algebra and eight connected components. Zbl 1486.14075
Capco, Jose; Din, Mohab Safey El; Schicho, Josef
3
2020
Computing the real isolated points of an algebraic hypersurface. Zbl 1520.14110
Le, Huu Phuoc; Din, Mohab Safey El; de Wolff, Timo
2
2020
Algorithms for weighted sum of squares decomposition of non-negative univariate polynomials. Zbl 1420.13058
Magron, Victor; Safey El Din, Mohab; Schweighofer, Markus
8
2019
Computing the volume of compact semi-algebraic sets. Zbl 1467.14139
Lairez, Pierre; Mezzarobba, Marc; Safey El Din, Mohab
7
2019
Bit complexity for multi-homogeneous polynomial system solving – application to polynomial minimization. Zbl 1391.13056
Safey El Din, Mohab; Schost, Éric
11
2018
On exact Polya and Putinar’s representations. Zbl 1467.90032
Magron, Victor; Safey El Din, Mohab
9
2018
{RealCertify}: a Maple package for certifying non-negativity. Zbl 1433.68625
Magron, Victor; Safey El Din, Mohab
8
2018
Real root finding for equivariant semi-algebraic systems. Zbl 1467.14140
Riener, Cordian; Safey el Din, Mohab
7
2018
On the complexity of computing real radicals of polynomial systems. Zbl 1467.14141
Safey El Din, Mohab; Yang, Zhi-Hong; Zhi, Lihong
6
2018
A lower bound on the positive semidefinite rank of convex bodies. Zbl 1391.90456
Fawzi, Hamza; El Din, Mohab Safey
4
2018
Exact algorithms for semidefinite programs with degenerate feasible set. Zbl 1467.90031
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab
2
2018
A nearly optimal algorithm for deciding connectivity queries in smooth and bounded real algebraic sets. Zbl 1426.68311
Safey El Din, Mohab; Schost, Éric
26
2017
Exact algorithms for linear matrix inequalities. Zbl 1356.90102
Henrion, Didier; Naldi, Simone; El Din, Mohab Safey
23
2016
Critical point computations on smooth varieties, degree and complexity bounds. Zbl 1362.14061
Safey El Din, Mohab; Spaenlehauer, Pierre-Jean
8
2016
Real root finding for determinants of linear matrices. Zbl 1329.65090
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab
4
2016
Determinantal sets, singularities and application to optimal control in medical imagery. Zbl 1362.13031
Bonnard, Bernard; Faugère, Jean-Charles; Jacquemard, Alain; Safey El Din, Mohab; Verron, Thibaut
3
2016
On the complexity of computing Gröbner bases for weighted homogeneous systems. Zbl 1430.13044
Faugère, Jean-Charles; Safey El Din, Mohab; Verron, Thibaut
2
2016
Real root finding for rank defects in linear Hankel matrices. Zbl 1345.65024
Henrion, Didier; Naldi, Simone; Safey El Din, Mohab
5
2015
Polynomial interrupt timed automata. Zbl 1471.68113
Bérard, Béatrice; Haddad, Serge; Picaronny, Claudine; Safey El Din, Mohab; Sassolas, Mathieu
4
2015
Probabilistic algorithm for computing the dimension of real algebraic sets. Zbl 1346.68267
Bannwarth, Ivan; Safey El Din, Mohab
3
2015
Probabilistic algorithm for polynomial optimization over a real algebraic set. Zbl 1327.90232
Greuet, Aurélien; El Din, Mohab Safey
22
2014
A baby step-giant step roadmap algorithm for general algebraic sets. Zbl 1322.14090
Basu, S.; Roy, M.-F.; Safey El Din, M.; Schost, É.
14
2014
Intrinsic complexity estimates in polynomial optimization. Zbl 1302.65296
Bank, Bernd; Giusti, Marc; Heintz, Joos; Safey El Din, Mohab
9
2014
Computing necessary integrability conditions for planar parametrized homogeneous potentials. Zbl 1325.68266
Bostan, Alin; Combot, Thierry; Safey El Din, Mohab
2
2014
On the complexity of the generalized MinRank problem. Zbl 1302.13026
Faugère, Jean-Charles; El Din, Mohab Safey; Spaenlehauer, Pierre-Jean
17
2013
On the complexity of computing Gröbner bases for quasi-homogeneous systems. Zbl 1360.68930
Faugère, Jean-Charles; Safey El Din, Mohab; Verron, Thibaut
6
2013
Computing rational solutions of linear matrix inequalities. Zbl 1360.68934
Guo, Qingdong; Safey El Din, Mohab; Zhi, Lihong
6
2013
Variant quantifier elimination. Zbl 1238.14001
Hong, Hoon; El Din, Mohab Safey
22
2012
Critical points and Gröbner bases: the unmixed case. Zbl 1308.68171
Faugère, Jean-Charles; El Din, Mohab Safey; Spaenlehauer, Pierre-Jean
13
2012
Global optimization of polynomials restricted to a smooth variety using sums of squares. Zbl 1266.90148
Greuet, Aurélien; Guo, Feng; El Din, Mohab Safey; Zhi, Lihong
9
2012
Gröbner bases of bihomogeneous ideals generated by polynomials of bidegree \((1,1)\): algorithms and complexity. Zbl 1226.13017
Faugère, Jean-Charles; El Din, Mohab Safey; Spaenlehauer, Pierre-Jean
19
2011
A baby steps/giant steps probabilistic algorithm for computing roadmaps in smooth bounded real hypersurface. Zbl 1213.14110
Safey el Din, Mohab; Schost, Éric
10
2011
Deciding reachability of the infimum of a multivariate polynomial. Zbl 1323.65074
Greuet, Aurélien; Safey El Din, Mohab
7
2011
On the geometry of polar varieties. Zbl 1186.14060
Bank, Bernd; Giusti, Marc; Heintz, Joos; Safey El Din, Mohab; Schost, Eric
30
2010
Computing loci of rank defects of linear matrices using Gröbner bases and applications to cryptology. Zbl 1321.68529
Faugère, Jean-Charles; El Din, Mohab Safey; Spaenlehauer, Pierre-Jean
25
2010
Global optimization of polynomials using generalized critical values and sums of squares. Zbl 1321.90127
Guo, Feng; El Din, Mohab Safey; Zhi, Lihong
14
2010
Computing rational points in convex semialgebraic sets and sum of squares decompositions. Zbl 1279.90127
El Din, Mohab Safey; Zhi, Lihong
9
2010
Variant real quantifier elimination: algorithm and application. Zbl 1237.14005
Hong, Hoon; Safey El Din, Mohab
5
2009
The Voronoi diagram of three lines. Zbl 1194.68247
Everett, Hazel; Lazard, Daniel; Lazard, Sylvain; Safey El Din, Mohab
3
2009
Computing the global optimum of a multivariate polynomial over the reals. Zbl 1487.65072
El Din, Mohab Safey
11
2008
Classification of the perspective-three-point problem, discriminant variety and real solving polynomial systems of inequalities. Zbl 1487.68235
Faugère, Jean-Charles; Moroz, Guillaume; Rouillier, Fabrice; El Din, Mohab Safey
11
2008
Practical and theoretical issues for the computation of generalized critical values of a polynomial mapping. Zbl 1166.65317
Safey El Din, Mohab
6
2008
Testing sign conditions on a multivariate polynomial and applications. Zbl 1126.14068
El Din, Mohab Safey
26
2007
The Voronoi diagram of three lines. Zbl 1221.68268
Everett, Hazel; Lazard, Sylvain; Lazard, Daniel; El Din, Mohab Safey
7
2007
Computing roadmaps in smooth real algebraic sets. Zbl 1192.65058
Mezzarobba, Marc; El Din, Mohab Safey
2
2006
Properness defects and projections and computation of at least one point in each connected component of a real algebraic set. Zbl 1067.14057
Safey El Din, Mohab; Schost, Éric
20
2004
Polar varieties and computation of one point in each connected component of a smooth real algebraic set. Zbl 1072.68693
Safey El Din, Mohab; Schost, Éric
49
2003
Real solving for positive dimensional systems. Zbl 1046.14031
Aubry, Philippe; Rouillier, Fabrice; Safey El Din, Mohab
26
2002
Solving the Birkhoff interpolation problem via the critical point method: An experimental study. Zbl 0985.68079
Rouillier, Fabrice; Safey El Din, Mohab; Schost, Éric
4
2001
Finding at least one point in each connected component of a real algebraic set defined by a single equation. Zbl 1009.14010
Rouillier, F.; Roy, M.-F.; Safey El Din, M.
27
2000
New structure theorem for subresultants. Zbl 0973.12007
Lombardi, Henri; Roy, Marie-Françoise; El Din, Mohab Safey
19
2000
all top 5

Cited by 436 Authors

35 Safey El Din, Mohab
11 Faugère, Jean-Charles
11 Schost, Éric
10 Magron, Victor
9 Basu, Saugata
8 Bank, Bernd
8 Giusti, Marc
8 Heintz, Joos
7 Hauenstein, Jonathan D.
7 Henrion, Didier
7 Verbel, Javier A.
7 Wu, Wenyuan
6 Chen, Changbo
6 Naldi, Simone
6 Xia, Bican
6 Zhi, Lihong
5 El Kahoui, M’hammed
5 Hong, Hoon
5 Lasserre, Jean-Bernard
5 Pardo, Luis Miguel
5 Tsigaridas, Elias P.
4 Emiris, Ioannis Z.
4 Gonzalez-Vega, Laureano
4 Labahn, George
4 Nie, Jiawang
4 Niu, Wei
4 Perrucci, Daniel
4 Rouillier, Fabrice
4 Roy, Marie-Françoise
4 Sottile, Frank
4 Spaenlehauer, Pierre-Jean
4 Vu, Thi Xuan
4 Xiao, ShuiJing
4 Zeng, Guangxing
3 Bardet, Magali
3 Bender, Matías R.
3 Bérard, Béatrice
3 Boussaada, Islam
3 Cabarcas, Daniel
3 Dias, Luis Renato Gonçalves
3 Díaz-Toca, Gema María
3 Feng, Yong
3 Guo, Feng
3 Heaton, Alexander
3 Huang, Bo
3 Hubert, Evelyne
3 Kaltofen, Erich L.
3 Lazard, Daniel
3 Lecerf, Grégoire
3 Mantzaflaris, Angelos
3 Matera, Guillermo
3 Mourrain, Bernard
3 Neiger, Vincent
3 Niculescu, Silviu-Iulian
3 Papp, Dávid
3 Plaumann, Daniel
3 Rieck, Michael Q.
3 Riener, Cordian
3 Smith-Tone, Daniel
3 Sturmfels, Bernd
3 Szántó, Ágnes
3 Tibăr, Mihai-Marius
3 Verron, Thibaut
2 Abdeljaoued, Jounaïdi
2 Abelard, Simon
2 Baena, John Bayron
2 Bajbar, Tomáš
2 Bazan, Erick Rodriguez
2 Bellini, Emanuele
2 Berthomieu, Jérémy
2 Bostan, Alin
2 Bouzidi, Yacine
2 Breiding, Paul
2 Briaud, Pierre
2 Bros, Maxime
2 Caminata, Alessio
2 Chen, Mingshuai
2 Davis, Maria M.
2 del Campo, Abraham Martín
2 Ding, Jintai
2 Eder, Christian
2 Gaborit, Philippe
2 Gaubert, Stéphane
2 Gaudry, Pierrick
2 Goluskin, David
2 Gorla, Elisa
2 Haddad, Serge
2 Han, Jingjun
2 Helmer, Martin
2 Horobeţ, Emil
2 Jelonek, Zbigniew
2 Jeronimo, Gabriela
2 Korda, Milan
2 Lairez, Pierre
2 Le, Huu Phuoc
2 Moroz, Guillaume
2 Mou, Chenqi
2 Moustrou, Philippe
2 Parrilo, Pablo A.
2 Perlner, Ray
...and 336 more Authors
all top 5

Cited in 78 Serials

70 Journal of Symbolic Computation
12 SIAM Journal on Optimization
9 Discrete & Computational Geometry
9 Foundations of Computational Mathematics
7 Journal of Systems Science and Complexity
7 SIAM Journal on Applied Algebra and Geometry
6 Applied Mathematics and Computation
6 Theoretical Computer Science
6 Journal of Complexity
5 Mathematics of Computation
4 Journal of Algebra
4 Mathematische Zeitschrift
4 Mathematical Programming. Series A. Series B
4 Journal of Algebra and its Applications
3 Information Processing Letters
3 Journal of Pure and Applied Algebra
3 Computer Aided Geometric Design
3 Linear Algebra and its Applications
3 Applicable Algebra in Engineering, Communication and Computing
3 Journal of Mathematical Imaging and Vision
2 Journal of Computational and Applied Mathematics
2 Kybernetika
2 Acta Applicandae Mathematicae
2 Information and Computation
2 Journal of Global Optimization
2 Numerical Algorithms
2 International Journal of Computer Mathematics
2 Journal of Nonlinear Science
2 Finite Fields and their Applications
2 SIAM Journal on Applied Dynamical Systems
2 Science China. Mathematics
1 Communications in Algebra
1 Discrete Applied Mathematics
1 Journal of Computational Physics
1 Journal of Mathematical Biology
1 Nonlinearity
1 Bulletin of Mathematical Biology
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Automatica
1 Collectanea Mathematica
1 Information Sciences
1 Journal of Computer and System Sciences
1 Journal of Differential Equations
1 Le Matematiche
1 Proceedings of the American Mathematical Society
1 Revista Matemática Iberoamericana
1 Asia-Pacific Journal of Operational Research
1 Journal of the American Mathematical Society
1 SIAM Journal on Discrete Mathematics
1 Journal of Cryptology
1 Multidimensional Systems and Signal Processing
1 Computational Geometry
1 Differential Geometry and its Applications
1 Designs, Codes and Cryptography
1 Computational Mathematics and Mathematical Physics
1 SIAM Review
1 Expositiones Mathematicae
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 Formal Methods in System Design
1 Applied and Computational Harmonic Analysis
1 Journal of Mathematical Sciences (New York)
1 Optimization Methods & Software
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Nonlinear Science and Numerical Simulation
1 Mathematics in Computer Science
1 Advances in Mathematics of Communications
1 MathematicS In Action
1 Physical Review A, Third Series
1 Mathematical Programming Computation
1 Numerical Algebra, Control and Optimization
1 Mathematical Control and Related Fields
1 Mathematics
1 Algebraic Combinatorics
1 SIAM Journal on Mathematics of Data Science
1 La Matematica
all top 5

Cited in 43 Fields

129 Computer science (68-XX)
120 Algebraic geometry (14-XX)
76 Commutative algebra (13-XX)
53 Numerical analysis (65-XX)
52 Operations research, mathematical programming (90-XX)
27 Information and communication theory, circuits (94-XX)
25 Field theory and polynomials (12-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
15 Number theory (11-XX)
11 Convex and discrete geometry (52-XX)
11 Biology and other natural sciences (92-XX)
10 Mathematical logic and foundations (03-XX)
10 Combinatorics (05-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Quantum theory (81-XX)
8 Real functions (26-XX)
8 Ordinary differential equations (34-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
6 Systems theory; control (93-XX)
5 Approximations and expansions (41-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Manifolds and cell complexes (57-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Statistics (62-XX)
4 Mechanics of particles and systems (70-XX)
3 Geometry (51-XX)
2 Group theory and generalizations (20-XX)
2 Measure and integration (28-XX)
2 Functions of a complex variable (30-XX)
2 Special functions (33-XX)
2 Partial differential equations (35-XX)
2 Integral transforms, operational calculus (44-XX)
2 Differential geometry (53-XX)
2 Algebraic topology (55-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Difference and functional equations (39-XX)
1 Operator theory (47-XX)
1 Mechanics of deformable solids (74-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year