Edit Profile (opens in new tab) Roy, Marie-Françoise Co-Author Distance Author ID: roy.marie-francoise Published as: Roy, Marie-Françoise; Roy, M.-F.; Coste-Roy, Marie-Francoise; Roy, Marie-Francoise; Roy, M. F.; Coste, Marie-Francoise; Coste Roy, Marie-Françoise more...less Homepage: https://www.europeanwomeninmaths.org/marie-francoise-roy/ External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 129 Publications since 1974, including 7 Books 6 Contributions as Editor · 1 Further Contribution Reviewing Activity: 58 Reviews Biographic References: 1 Publication Co-Authors: 76 Co-Authors with 116 Joint Publications 1,729 Co-Co-Authors all top 5 Co-Authors 18 single-authored 25 Basu, Saugata 19 Pollack, Richard M. 17 Coste, Michel 11 Lombardi, Henri 10 Heintz, Joos 9 Solernó, Pablo 6 Perrucci, Daniel 6 Rouillier, Fabrice 6 Szpirglas, Aviva 5 Gonzalez-Vega, Laureano 5 Recio, Tomas 4 Cucker, Felipe 4 Vorob’ëv, Nikolaĭ N. jun. 3 Diatta, Daouda Niang 3 Lickteig, Thomas 3 Mahé, Louis 3 Safey El Din, Mohab 2 Alonso García, María Emilia 2 Becker, Eberhard 2 Bochnak, Jacek 2 Diatta, Sény 2 Guillopé, Colette 2 Itenberg, Ilia V. 2 Ligatsikas, Zenon 2 Pasechnik, Dmitrii V. 2 Prum, Bernard 2 Series, Caroline 2 Van Effelterre, T. 1 Agarwal, Nikita 1 Araujo, Carolina 1 Balmaceda, Jose Maria P. 1 Barrow-Green, June Elizabeth 1 Bonfert-Taylor, Petra 1 Boudaoud, Fatima 1 Cardinal, Jean-Paul 1 Caruso, Fabrizio 1 Chauveau, Véronique 1 Cohen, Arjeh Marcel 1 Colliot-Thélène, Jean-Louis 1 Coquand, Thierry 1 Dabo-Niang, Sophie 1 Dawson, Silvina Ponce 1 Dedieu, Jean-Pierre 1 El Yacoubi, Nouzha 1 Esteban, Maria J. 1 Foupouagnigni, Mama 1 Giralt, Georges 1 Grigor’ev, Dmitriĭ Yur’evich 1 Guergueb, Ahmed 1 Jofré, Alejandro 1 Koch, Lena 1 Krick, Teresa 1 Lajous-Loaeza, Tomás 1 Lanneau, H. 1 Mahmoudi, Mojgan 1 Mainguené, Jean 1 Mihaljević, Helena 1 Mnëv, Nikolai Evgen’evich 1 Mourrain, Bernard 1 Ogana, Wandera 1 Ouedraogo, Marie Françoise 1 Pardo, Luis Miguel 1 Piccione, Paolo 1 Pineda, Angel R. 1 Riener, Cordian 1 Paris-Romaskevich, Olga 1 Sagraloff, Michael 1 Schost, Éric 1 Sedjelmaci, Sidi Mohamed 1 Strickland, Elisabetta 1 Sy, Polly Wee 1 Szafraniec, Zbigniew 1 Trujillo, Guadalupe 1 Tschinkel, Yuri 1 Vera, Gajardo Andrea 1 Vogt, Thomas 1 Wörmann, Thorsten all top 5 Serials 10 Journal of Symbolic Computation 7 Comptes Rendus de l’Académie des Sciences. Série I 4 Journal of Pure and Applied Algebra 4 Journal of Complexity 4 Discrete & Computational Geometry 3 Gazette des Mathématiciens 3 Mathematische Zeitschrift 2 Journal of Algebra 2 Annals of Pure and Applied Logic 2 RAIRO. Informatique Théorique et Applications 2 Computational Complexity 2 Foundations of Computational Mathematics 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 2 Lecture Notes in Mathematics 2 Algorithms and Computation in Mathematics 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Beiträge zur Algebra und Geometrie 1 Bulletin de la Société Mathématique de France 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Calcolo 1 The Computer Journal. Section A / Section B 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Combinatorica 1 Journal of the American Mathematical Society 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Notices of the American Mathematical Society 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Irish Mathematical Society Bulletin 1 Applicable Algebra in Engineering, Communication and Computing 1 Zapiski Nauchnykh Seminarov POMI 1 European Mathematical Society Newsletter 1 Journal of the ACM 1 Journal of the European Mathematical Society (JEMS) 1 The Quarterly Journal of Mathematics 1 SMF Journée Annuelle 1 Matapli 1 European Mathematical Society Magazine all top 5 Fields 90 Algebraic geometry (14-XX) 58 Computer science (68-XX) 39 Field theory and polynomials (12-XX) 21 Commutative algebra (13-XX) 15 History and biography (01-XX) 15 Mathematical logic and foundations (03-XX) 8 General and overarching topics; collections (00-XX) 8 Number theory (11-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Category theory; homological algebra (18-XX) 6 Real functions (26-XX) 6 Numerical analysis (65-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 102 Publications have been cited 3,207 times in 2,380 Documents Cited by ▼ Year ▼ Real algebraic geometry. Transl. from the French. Rev. and updated ed. Zbl 0912.14023 Bochnak, Jacek; Coste, Michel; Roy, Marie-Françoise 675 1998 Géométrie algébrique réelle. (Real algebraic geometry). Zbl 0633.14016 Bochnak, J.; Coste, M.; Roy, M.-F. 624 1987 Algorithms in real algebraic geometry. 2nd ed. Zbl 1102.14041 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 521 2006 Algorithms in real algebraic geometry. Zbl 1031.14028 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 214 2003 On the combinatorial and algebraic complexity of quantifier elimination. Zbl 0885.68070 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 120 1996 Dynamical method in algebra: Effective Nullstellensätze. Zbl 0992.03076 Coste, Michel; Lombardi, Henri; Roy, Marie-Françoise 55 2001 Thom’s lemma, the coding of real algebraic numbers and the computation of the topology of semi-algebraic sets. Zbl 0689.14006 Coste, M.; Roy, M. F. 50 1988 Counting real zeros in the multivariate case. Zbl 0806.14042 Pedersen, P.; Roy, M.-F.; Szpirglas, A. 45 1993 La topologie du spectre réel. Zbl 0485.14007 Coste, Michel; Roy, Marie-Francoise 44 1982 Sylvester-Habicht sequences and fast Cauchy index computation. Zbl 0976.65043 Lickteig, Thomas; Roy, Marie-Françoise 39 2001 Zeros, multiplicities, and idempotents for zero-dimensional systems. Zbl 0879.14033 Alonso, Maria-Emilia; Becker, Eberhard; Roy, Marie-Françoise; Wörmann, Thorsten 38 1996 On the complexity of the Tarski-Seidenberg principle. (Sur la complexité du principe de Tarski-Seidenberg.) Zbl 0767.03017 Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo 34 1990 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. 33 2000 Computing roadmaps of semi-algebraic sets on a variety. Zbl 0933.14037 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 33 2000 Sturm-Habicht sequences, determinants and real roots of univariate polynomials. Zbl 0900.12002 González-Vega, L.; Recio, T.; Lombardi, H.; Roy, M.-F. 27 1998 Multivariate Bezoutians, Kronecker symbol and Eisenbud-Levine formula. Zbl 0873.13013 Becker, E.; Cardinal, J. P.; Roy, M.-F.; Szafraniec, Z. 25 1996 Basic algorithms in real algebraic geometry and their complexity: From Sturm’s theorem to the existential theory of reals. Zbl 0894.14028 Roy, Marie-Françoise 24 1996 Spécialisation de la suite de Sturm et sous-résultants. I. (Specialization of the Sturm sequence and subresultants. I). Zbl 0732.68059 González-Vega, L.; Lombardi, H.; Recio, T.; Roy, M.-F. 24 1990 A new algorithm to find a point in every cell defined by a family of polynomials. Zbl 0900.68278 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 22 1998 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. 22 2014 New structure theorem for subresultants. Zbl 0973.12007 Lombardi, Henri; Roy, Marie-Françoise; El Din, Mohab Safey 22 2000 The Bernstein-basis and real root isolation. Zbl 1094.14051 Mourrain, Bernard; Rouillier, Fabrice; Roy, Marie-Françoise 20 2005 On the number of cells defined by a family of polynomials on a variety. Zbl 0853.14028 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 18 1996 Symbolic recipes for polynomial system solving. Zbl 0966.13020 Gonzalez-Vega, Laureano; Rouillier, Fabrice; Roy, Marie-Françoise 17 1999 An elementary characterization of Krull dimension. Zbl 1161.54303 Coquand, Thierry; Lombardi, Henri; Roy, Marie-Françoise 17 2005 Divide and conquer roadmap for algebraic sets. Zbl 1329.14109 Basu, Saugata; Roy, Marie-Françoise 16 2014 Cauchy index computation. Zbl 0904.65024 Lickteig, Thomas; Roy, Marie-Françoise 15 1996 Symbolic recipes for real solutions. Zbl 0994.12003 Gonzalez-Vega, Laureano; Rouillier, Fabrice; Roy, Marie-Françoise; Trujillo, Guadalupe 15 1999 On the theoretical and practical complexity of the existential theory of reals. Zbl 0780.68058 Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo 14 1993 Complexity of computation on real algebraic numbers. Zbl 0723.68054 Roy, Marie-Françoise; Szpirglas, Aviva 14 1990 Single exponential path finding in semi-algebraic sets. II: The general case. Zbl 0921.14039 Heintz, Joos; Roy, Marie-Francoise; Solerno, Pablo 13 1994 Computing the first Betti number of a semi-algebraic set. Zbl 1142.14036 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 13 2008 An elementary recursive bound for effective Positivstellensatz and Hilbert’s 17th problem. Zbl 1465.14001 Lombardi, Henri; Perrucci, Daniel; Roy, Marie-Françoise 13 2020 On computing a set of points meeting every cell defined by a family of polynomials on a variety. Zbl 0872.68050 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 12 1997 Description of the connected components of a semialgebraic set in single exponential time. Zbl 0970.68201 Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo 11 1994 On the number of cells defined by a set of polynomials. Zbl 0787.14039 Pollack, Richard; Roy, Marie-Françoise 11 1993 Generalized Budan–Fourier theorem and virtual roots. Zbl 1106.12001 Coste, Michel; Lajous-Loaeza, Tomás; Lombardi, Henri; Roy, Marie-Françoise 11 2005 Multivariate Descartes’ rule. Zbl 0870.14038 Itenberg, Ilia; Roy, Marie-Françoise 11 1996 Complexity of the computation of cylindrical decomposition and topology of real algebraic curves using Thom’s lemma. Zbl 0718.14028 Roy, M.-F.; Szpirglas, A. 11 1990 On the Betti numbers of sign conditions. Zbl 1080.14068 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 11 2005 Algorithms in real algebraic geometry and applications to computational geometry. Zbl 0751.14038 Heintz, Joos; Recio, Tomas; Roy, Marie-Françoise 10 1991 Computing roadmaps of semi-algebraic sets. (Extended abstract). Zbl 0917.14028 Basu, S.; Pollack, R.; Roy, M.-F. 10 1996 Betti number bounds, applications and algorithms. Zbl 1097.68152 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 10 2005 Topologies for real algebraic geometry. Zbl 0417.14002 Coste, Marie-Francoise; Coste, Michel 9 1979 Complexity of Tarski- Seidenberg’s principle. (Complexité du principe de Tarski-Seidenberg.) Zbl 0704.03013 Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo 9 1989 Bounding the radii of balls meeting every connected component of semi-algebraic sets. Zbl 1200.14107 Basu, Saugata; Roy, Marie-Françoise 9 2010 The complexification and degree of a semi-algebraic set. Zbl 1056.14079 Roy, Marie-Françoise; Vorobjov, Nicolai 9 2002 Bounds for polynomials on algebraic numbers and application to curve topology. Zbl 1486.14074 Diatta, Daouda Niang; Diatta, Sény; Rouillier, Fabrice; Roy, Marie-Françoise; Sagraloff, Michael 9 2022 Bounding the Betti numbers and computing the Euler-Poincaré characteristic of semi-algebraic sets defined by partly quadratic systems of polynomials. Zbl 1218.14050 Basu, Saugata; Pasechnik, Dmitrii V.; Roy, Marie-Françoise 9 2010 Le spectre etale réel d’un anneau est spatial. Zbl 0433.14018 Coste-Roy, Marie-Francoise; Coste, Michel 8 1980 On the computation of the local and global analytic branches of a real algebraic curve. Zbl 0697.14002 Cucker, F.; Pardo, L. M.; Raimondo, M.; Recio, T.; Roy, M. F. 8 1989 Faisceau structural sur le spectre réel et fonctions de Nash. Zbl 0497.14009 Roy, Marie-Françoise 8 1982 Elementary constructive theory of ordered fields. Zbl 0732.12002 Lombardi, Henri; Roy, Marie-Françoise 7 1991 Sylvester double sums and subresultants. Zbl 1213.12003 Roy, Marie-Françoise; Szpirglas, Aviva 7 2011 Finding irreducible components of some real transcendental varieties. Zbl 0808.68065 Roy, Marie-Françoise; Vorobjov, Nicolai 6 1994 Single exponential path finding in semialgebraic sets. I: The case of a regular bounded hypersurface. Zbl 0764.14023 Heintz, Joos; Roy, Marie-Francoise; Solernó, Pablo 5 1991 Specialization of the Sturm sequence. (Spécialisation de la suite de Sturm.) Zbl 0999.12502 González-Vega, Laureano; Lombardi, Henri; Recio, Thomas; Roy, Marie-Françoise 5 1994 Computing the Euler-Poincaré characteristics of sign conditions. Zbl 1077.14086 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 5 2005 Computing the Betti numbers of semi-algebraic sets defined by partly quadratic systems of polynomials. Zbl 1171.14040 Basu, Saugata; Pasechnik, Dmitrii V.; Roy, Marie-Françoise 5 2009 Computing the first Betti number and the connected components of semi-algebraic sets. Zbl 1192.14003 Basu, Saugata; Pollack, Richard; Roy, Marie-Francoise 5 2005 Certificates of positivity in the Bernstein basis. Zbl 1141.14035 Boudaoud, Fatima; Caruso, Fabrizio; Roy, Marie-Françoise 5 2008 Semi-algebraic complexity of quotients and sign determination of remainders. Zbl 0868.68069 Lickteig, Thomas; Roy, Marie-Françoise 4 1996 Computing the complexification of a semi-algebraic set. Zbl 0918.14020 Roy, Marie-Françoise; Vorobjov, Nicolai 4 1996 Complexity of computing semi-algebraic descriptions of the connected components of a semialgebraic set. Zbl 0960.14033 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 4 1998 On the computation of the topology of plane curves. Zbl 1325.68273 Diatta, Daouda Niang; Rouillier, Fabrice; Roy, Marie-Françoise 4 2014 Real strict localizations. Zbl 0595.20061 Alonso, M. E.; Roy, M. F. 4 1987 An asymptotically tight bound on the number of semi-algebraically connected components of realizable sign conditions. Zbl 1212.14005 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 4 2009 Counting connected components of a semi-algebraic set in single exponential time. (Comptage des composantes connexes d’un ensemble semi-algébrique en temps simplement exponentiel.) Zbl 0752.14043 Grigor’ev, Dima Yurevitch; Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo; Vorobjov, Nicolai Nicolaievitch jun. 3 1990 The Positivstellensatz and small deduction rules for systems of inequalities. Zbl 0877.14001 Lombardi, Henri; Mnev, Nicolai; Roy, Marie-Françoise 3 1996 Generic computation of the real closure of an ordered field. Zbl 1037.68546 Ligatsikas, Zenon; Rioboo, R.; Roy, M. F. 3 1996 Quantitative fundamental theorem of algebra. Zbl 1465.12002 Perrucci, Daniel; Roy, Marie-Françoise 3 2019 Computation of the topology of a real curve. Zbl 0840.14036 Roy, Marie-Françoise 2 1990 Description of the connected components of a semi-algebraic set in single exponential time. (Description des composantes connexes d’un ensemble semialgébrique en temps simplement exponentiel.) Zbl 0764.14024 Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo 2 1991 NC algorithms for real algebraic numbers. Zbl 0786.12007 Cucker, F.; Lanneau, H.; Mishra, B.; Pedersen, P.; Roy, M.-F. 2 1992 Sign determination on zero dimensional sets. Zbl 0736.68049 Roy, Marie-Françoise; Szpirglas, Aviva 2 1991 Real algebraic geometry. Proceedings of the conference, held in Rennes, France, June 24-28, 1991. Zbl 0756.00007 2 1992 Examples of automatic theorem proving in real geometry. Zbl 0964.68537 Guergueb, Ahmed; Mainguené, Jean; Roy, Marie-Françoise 2 1994 Computing a set of points meeting every cell defined by a family of polynomials on a variety. Zbl 0829.14025 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 2 1995 Interactions between real algebraic geometry and discrete and computational geometry. Zbl 0954.14040 Itenberg, Ilia; Roy, Marie-Françoise 2 1999 Computing the dimension of a semi-algebraic set. Zbl 1075.14053 Basu, S.; Pollack, R.; Roy, M.-F. 2 2004 A theorem on random polynomials and some consequences in average complexity. Zbl 0725.12007 Cucker, F.; Roy, M.-F. 2 1990 Géométrie algébrique réelle et formes quadratiques. Journées Soc. Math. Fr., Université de Rennes 1, Mai 1981. Zbl 0487.00005 2 1982 A data analysis of women’s trails among ICM speakers. Zbl 1436.01083 Mihaljević, Helena; Roy, Marie-Françoise 2 2019 May 12: Celebrating women in mathematics. From one idea to one hundred events. Zbl 1431.01024 Agarwal, Nikita; Araujo, Carolina; Bonfert-Taylor, Petra; Mahmoudi, Mojgan; Ouedraogo, Marie Françoise; Paris-Romaskevich, Olga; Roy, Marie-Françoise; Strickland, Elisabetta; Vera, Gajardo Andrea 2 2019 A new general formula for the Cauchy index on an interval with subresultants. Zbl 1471.12002 Perrucci, Daniel; Roy, Marie-Françoise 2 2022 Geometric problems solvable in single exponential time. Zbl 0756.14031 Heintz, Joos; Krick, Teresa; Roy, Marie-Françoise; Solernó, Pablo 1 1991 Another proof of the existence of stratifications satisfying the Verdier condition \(w\). (Encore une démonstration de l’existence de stratifications satisfaisant la condition \(w\) de Verdier.) Zbl 0787.14037 Coste, Michel; Roy, Marie-Françoise 1 1989 Real algebraic geometry and robotics. The complexity of piano moving. (Géométrie algébrique réelle et robotique. La complexité de déménagement des pianos.) Zbl 0799.14033 Roy, Marie-Françoise 1 1992 Zero-nonzero and real-nonreal sign determination. Zbl 1309.14047 Perrucci, Daniel; Roy, Marie-Françoise 1 2013 Aspect graphs of algebraic surfaces. Zbl 0927.68105 Roy, Marie-Françoise; Van Effelterre, T. 1 1993 Contribution to the study of the natural number object in elementary topoi. Zbl 0427.03056 Coste-Roy, Marie-Francoise; Coste, Michel; Mahe, Louis 1 1980 The generic model of an \(\varepsilon\)-stable geometric extension of the theory of rings of line type. Zbl 0427.18008 Coste, Marie-Francoise; Coste, Michel 1 1979 Construction d’un modèle booleen de la théorie des ensembles à partir d’un topos booleen. Zbl 0282.02028 Coste, Marie-Francoise 1 1974 Le topos etale réel d’un anneau. Zbl 0454.18008 Coste, Michel; Coste-Roy, Marie-Francoise 1 1981 Séries de Puiseux sur un corps réel clos. (Puiseux series over real closed fields). Zbl 0725.13007 Ligatsikas, Zénon; Roy, Marie-Françoise 1 1990 New fast Euclidean algorithms. Zbl 1303.11130 Roy, Marie-Françoise; Sedjelmaci, Sidi Mohamed 1 2013 The role of Hilbert problems in real algebraic geometry. Zbl 0999.14021 Roy, Marie-Françoise 1 2000 Théorèmes des zéros et Positivstellensatz pour les fonctions de Nash dans le cas non lisse. (Nullstellensätze and Positivstellensatz for Nash functions in the non smooth case). Zbl 0605.14020 Cucker, Felipe; Roy, Marie-Françoise 1 1986 Quantitative curve selection lemma. Zbl 1505.14120 Basu, Saugata; Roy, Marie-Françoise 1 2022 Elementary recursive quantifier elimination based on Thom encoding and sign determination. Zbl 1373.14060 Perrucci, Daniel; Roy, Marie-Françoise 1 2017 Bounds for polynomials on algebraic numbers and application to curve topology. Zbl 1486.14074 Diatta, Daouda Niang; Diatta, Sény; Rouillier, Fabrice; Roy, Marie-Françoise; Sagraloff, Michael 9 2022 A new general formula for the Cauchy index on an interval with subresultants. Zbl 1471.12002 Perrucci, Daniel; Roy, Marie-Françoise 2 2022 Quantitative curve selection lemma. Zbl 1505.14120 Basu, Saugata; Roy, Marie-Françoise 1 2022 An elementary recursive bound for effective Positivstellensatz and Hilbert’s 17th problem. Zbl 1465.14001 Lombardi, Henri; Perrucci, Daniel; Roy, Marie-Françoise 13 2020 Sylvester double sums, subresultants and symmetric multivariate Hermite interpolation. Zbl 1441.13071 Roy, Marie-Françoise; Szpirglas, Aviva 1 2020 Quantitative fundamental theorem of algebra. Zbl 1465.12002 Perrucci, Daniel; Roy, Marie-Françoise 3 2019 A data analysis of women’s trails among ICM speakers. Zbl 1436.01083 Mihaljević, Helena; Roy, Marie-Françoise 2 2019 May 12: Celebrating women in mathematics. From one idea to one hundred events. Zbl 1431.01024 Agarwal, Nikita; Araujo, Carolina; Bonfert-Taylor, Petra; Mahmoudi, Mojgan; Ouedraogo, Marie Françoise; Paris-Romaskevich, Olga; Roy, Marie-Françoise; Strickland, Elisabetta; Vera, Gajardo Andrea 2 2019 Elementary recursive quantifier elimination based on Thom encoding and sign determination. Zbl 1373.14060 Perrucci, Daniel; Roy, Marie-Françoise 1 2017 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. 22 2014 Divide and conquer roadmap for algebraic sets. Zbl 1329.14109 Basu, Saugata; Roy, Marie-Françoise 16 2014 On the computation of the topology of plane curves. Zbl 1325.68273 Diatta, Daouda Niang; Rouillier, Fabrice; Roy, Marie-Françoise 4 2014 Zero-nonzero and real-nonreal sign determination. Zbl 1309.14047 Perrucci, Daniel; Roy, Marie-Françoise 1 2013 New fast Euclidean algorithms. Zbl 1303.11130 Roy, Marie-Françoise; Sedjelmaci, Sidi Mohamed 1 2013 Sylvester double sums and subresultants. Zbl 1213.12003 Roy, Marie-Françoise; Szpirglas, Aviva 7 2011 Bounding the radii of balls meeting every connected component of semi-algebraic sets. Zbl 1200.14107 Basu, Saugata; Roy, Marie-Françoise 9 2010 Bounding the Betti numbers and computing the Euler-Poincaré characteristic of semi-algebraic sets defined by partly quadratic systems of polynomials. Zbl 1218.14050 Basu, Saugata; Pasechnik, Dmitrii V.; Roy, Marie-Françoise 9 2010 Computing the Betti numbers of semi-algebraic sets defined by partly quadratic systems of polynomials. Zbl 1171.14040 Basu, Saugata; Pasechnik, Dmitrii V.; Roy, Marie-Françoise 5 2009 An asymptotically tight bound on the number of semi-algebraically connected components of realizable sign conditions. Zbl 1212.14005 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 4 2009 Computing the first Betti number of a semi-algebraic set. Zbl 1142.14036 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 13 2008 Certificates of positivity in the Bernstein basis. Zbl 1141.14035 Boudaoud, Fatima; Caruso, Fabrizio; Roy, Marie-Françoise 5 2008 Algorithms in real algebraic geometry. 2nd ed. Zbl 1102.14041 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 521 2006 La Société Mathématique de France. Zbl 1165.01330 Roy, Marie-Françoise 1 2006 The Bernstein-basis and real root isolation. Zbl 1094.14051 Mourrain, Bernard; Rouillier, Fabrice; Roy, Marie-Françoise 20 2005 An elementary characterization of Krull dimension. Zbl 1161.54303 Coquand, Thierry; Lombardi, Henri; Roy, Marie-Françoise 17 2005 Generalized Budan–Fourier theorem and virtual roots. Zbl 1106.12001 Coste, Michel; Lajous-Loaeza, Tomás; Lombardi, Henri; Roy, Marie-Françoise 11 2005 On the Betti numbers of sign conditions. Zbl 1080.14068 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 11 2005 Betti number bounds, applications and algorithms. Zbl 1097.68152 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 10 2005 Computing the Euler-Poincaré characteristics of sign conditions. Zbl 1077.14086 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 5 2005 Computing the first Betti number and the connected components of semi-algebraic sets. Zbl 1192.14003 Basu, Saugata; Pollack, Richard; Roy, Marie-Francoise 5 2005 Computing the dimension of a semi-algebraic set. Zbl 1075.14053 Basu, S.; Pollack, R.; Roy, M.-F. 2 2004 Algorithms in real algebraic geometry. Zbl 1031.14028 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 214 2003 The complexification and degree of a semi-algebraic set. Zbl 1056.14079 Roy, Marie-Françoise; Vorobjov, Nicolai 9 2002 Dynamical method in algebra: Effective Nullstellensätze. Zbl 0992.03076 Coste, Michel; Lombardi, Henri; Roy, Marie-Françoise 55 2001 Sylvester-Habicht sequences and fast Cauchy index computation. Zbl 0976.65043 Lickteig, Thomas; Roy, Marie-Françoise 39 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. 33 2000 Computing roadmaps of semi-algebraic sets on a variety. Zbl 0933.14037 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 33 2000 New structure theorem for subresultants. Zbl 0973.12007 Lombardi, Henri; Roy, Marie-Françoise; El Din, Mohab Safey 22 2000 The role of Hilbert problems in real algebraic geometry. Zbl 0999.14021 Roy, Marie-Françoise 1 2000 Symbolic recipes for polynomial system solving. Zbl 0966.13020 Gonzalez-Vega, Laureano; Rouillier, Fabrice; Roy, Marie-Françoise 17 1999 Symbolic recipes for real solutions. Zbl 0994.12003 Gonzalez-Vega, Laureano; Rouillier, Fabrice; Roy, Marie-Françoise; Trujillo, Guadalupe 15 1999 Interactions between real algebraic geometry and discrete and computational geometry. Zbl 0954.14040 Itenberg, Ilia; Roy, Marie-Françoise 2 1999 Real algebraic geometry. Transl. from the French. Rev. and updated ed. Zbl 0912.14023 Bochnak, Jacek; Coste, Michel; Roy, Marie-Françoise 675 1998 Sturm-Habicht sequences, determinants and real roots of univariate polynomials. Zbl 0900.12002 González-Vega, L.; Recio, T.; Lombardi, H.; Roy, M.-F. 27 1998 A new algorithm to find a point in every cell defined by a family of polynomials. Zbl 0900.68278 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 22 1998 Complexity of computing semi-algebraic descriptions of the connected components of a semialgebraic set. Zbl 0960.14033 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 4 1998 On computing a set of points meeting every cell defined by a family of polynomials on a variety. Zbl 0872.68050 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 12 1997 On the combinatorial and algebraic complexity of quantifier elimination. Zbl 0885.68070 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 120 1996 Zeros, multiplicities, and idempotents for zero-dimensional systems. Zbl 0879.14033 Alonso, Maria-Emilia; Becker, Eberhard; Roy, Marie-Françoise; Wörmann, Thorsten 38 1996 Multivariate Bezoutians, Kronecker symbol and Eisenbud-Levine formula. Zbl 0873.13013 Becker, E.; Cardinal, J. P.; Roy, M.-F.; Szafraniec, Z. 25 1996 Basic algorithms in real algebraic geometry and their complexity: From Sturm’s theorem to the existential theory of reals. Zbl 0894.14028 Roy, Marie-Françoise 24 1996 On the number of cells defined by a family of polynomials on a variety. Zbl 0853.14028 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 18 1996 Cauchy index computation. Zbl 0904.65024 Lickteig, Thomas; Roy, Marie-Françoise 15 1996 Multivariate Descartes’ rule. Zbl 0870.14038 Itenberg, Ilia; Roy, Marie-Françoise 11 1996 Computing roadmaps of semi-algebraic sets. (Extended abstract). Zbl 0917.14028 Basu, S.; Pollack, R.; Roy, M.-F. 10 1996 Semi-algebraic complexity of quotients and sign determination of remainders. Zbl 0868.68069 Lickteig, Thomas; Roy, Marie-Françoise 4 1996 Computing the complexification of a semi-algebraic set. Zbl 0918.14020 Roy, Marie-Françoise; Vorobjov, Nicolai 4 1996 The Positivstellensatz and small deduction rules for systems of inequalities. Zbl 0877.14001 Lombardi, Henri; Mnev, Nicolai; Roy, Marie-Françoise 3 1996 Generic computation of the real closure of an ordered field. Zbl 1037.68546 Ligatsikas, Zenon; Rioboo, R.; Roy, M. F. 3 1996 Computing a set of points meeting every cell defined by a family of polynomials on a variety. Zbl 0829.14025 Basu, Saugata; Pollack, Richard; Roy, Marie-Françoise 2 1995 Single exponential path finding in semi-algebraic sets. II: The general case. Zbl 0921.14039 Heintz, Joos; Roy, Marie-Francoise; Solerno, Pablo 13 1994 Description of the connected components of a semialgebraic set in single exponential time. Zbl 0970.68201 Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo 11 1994 Finding irreducible components of some real transcendental varieties. Zbl 0808.68065 Roy, Marie-Françoise; Vorobjov, Nicolai 6 1994 Specialization of the Sturm sequence. (Spécialisation de la suite de Sturm.) Zbl 0999.12502 González-Vega, Laureano; Lombardi, Henri; Recio, Thomas; Roy, Marie-Françoise 5 1994 Examples of automatic theorem proving in real geometry. Zbl 0964.68537 Guergueb, Ahmed; Mainguené, Jean; Roy, Marie-Françoise 2 1994 Counting real zeros in the multivariate case. Zbl 0806.14042 Pedersen, P.; Roy, M.-F.; Szpirglas, A. 45 1993 On the theoretical and practical complexity of the existential theory of reals. Zbl 0780.68058 Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo 14 1993 On the number of cells defined by a set of polynomials. Zbl 0787.14039 Pollack, Richard; Roy, Marie-Françoise 11 1993 Aspect graphs of algebraic surfaces. Zbl 0927.68105 Roy, Marie-Françoise; Van Effelterre, T. 1 1993 NC algorithms for real algebraic numbers. Zbl 0786.12007 Cucker, F.; Lanneau, H.; Mishra, B.; Pedersen, P.; Roy, M.-F. 2 1992 Real algebraic geometry. Proceedings of the conference, held in Rennes, France, June 24-28, 1991. Zbl 0756.00007 2 1992 Real algebraic geometry and robotics. The complexity of piano moving. (Géométrie algébrique réelle et robotique. La complexité de déménagement des pianos.) Zbl 0799.14033 Roy, Marie-Françoise 1 1992 Algorithms in real algebraic geometry and applications to computational geometry. Zbl 0751.14038 Heintz, Joos; Recio, Tomas; Roy, Marie-Françoise 10 1991 Elementary constructive theory of ordered fields. Zbl 0732.12002 Lombardi, Henri; Roy, Marie-Françoise 7 1991 Single exponential path finding in semialgebraic sets. I: The case of a regular bounded hypersurface. Zbl 0764.14023 Heintz, Joos; Roy, Marie-Francoise; Solernó, Pablo 5 1991 Description of the connected components of a semi-algebraic set in single exponential time. (Description des composantes connexes d’un ensemble semialgébrique en temps simplement exponentiel.) Zbl 0764.14024 Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo 2 1991 Sign determination on zero dimensional sets. Zbl 0736.68049 Roy, Marie-Françoise; Szpirglas, Aviva 2 1991 Geometric problems solvable in single exponential time. Zbl 0756.14031 Heintz, Joos; Krick, Teresa; Roy, Marie-Françoise; Solernó, Pablo 1 1991 On the complexity of the Tarski-Seidenberg principle. (Sur la complexité du principe de Tarski-Seidenberg.) Zbl 0767.03017 Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo 34 1990 Spécialisation de la suite de Sturm et sous-résultants. I. (Specialization of the Sturm sequence and subresultants. I). Zbl 0732.68059 González-Vega, L.; Lombardi, H.; Recio, T.; Roy, M.-F. 24 1990 Complexity of computation on real algebraic numbers. Zbl 0723.68054 Roy, Marie-Françoise; Szpirglas, Aviva 14 1990 Complexity of the computation of cylindrical decomposition and topology of real algebraic curves using Thom’s lemma. Zbl 0718.14028 Roy, M.-F.; Szpirglas, A. 11 1990 Counting connected components of a semi-algebraic set in single exponential time. (Comptage des composantes connexes d’un ensemble semi-algébrique en temps simplement exponentiel.) Zbl 0752.14043 Grigor’ev, Dima Yurevitch; Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo; Vorobjov, Nicolai Nicolaievitch jun. 3 1990 Computation of the topology of a real curve. Zbl 0840.14036 Roy, Marie-Françoise 2 1990 A theorem on random polynomials and some consequences in average complexity. Zbl 0725.12007 Cucker, F.; Roy, M.-F. 2 1990 Séries de Puiseux sur un corps réel clos. (Puiseux series over real closed fields). Zbl 0725.13007 Ligatsikas, Zénon; Roy, Marie-Françoise 1 1990 Complexity of Tarski- Seidenberg’s principle. (Complexité du principe de Tarski-Seidenberg.) Zbl 0704.03013 Heintz, Joos; Roy, Marie-Françoise; Solernó, Pablo 9 1989 On the computation of the local and global analytic branches of a real algebraic curve. Zbl 0697.14002 Cucker, F.; Pardo, L. M.; Raimondo, M.; Recio, T.; Roy, M. F. 8 1989 Another proof of the existence of stratifications satisfying the Verdier condition \(w\). (Encore une démonstration de l’existence de stratifications satisfaisant la condition \(w\) de Verdier.) Zbl 0787.14037 Coste, Michel; Roy, Marie-Françoise 1 1989 Thom’s lemma, the coding of real algebraic numbers and the computation of the topology of semi-algebraic sets. Zbl 0689.14006 Coste, M.; Roy, M. F. 50 1988 Géométrie algébrique réelle. (Real algebraic geometry). Zbl 0633.14016 Bochnak, J.; Coste, M.; Roy, M.-F. 624 1987 Real strict localizations. Zbl 0595.20061 Alonso, M. E.; Roy, M. F. 4 1987 Théorèmes des zéros et Positivstellensatz pour les fonctions de Nash dans le cas non lisse. (Nullstellensätze and Positivstellensatz for Nash functions in the non smooth case). Zbl 0605.14020 Cucker, Felipe; Roy, Marie-Françoise 1 1986 La topologie du spectre réel. Zbl 0485.14007 Coste, Michel; Roy, Marie-Francoise 44 1982 Faisceau structural sur le spectre réel et fonctions de Nash. Zbl 0497.14009 Roy, Marie-Françoise 8 1982 Géométrie algébrique réelle et formes quadratiques. Journées Soc. Math. Fr., Université de Rennes 1, Mai 1981. Zbl 0487.00005 2 1982 Le topos etale réel d’un anneau. Zbl 0454.18008 Coste, Michel; Coste-Roy, Marie-Francoise 1 1981 Le spectre etale réel d’un anneau est spatial. Zbl 0433.14018 Coste-Roy, Marie-Francoise; Coste, Michel 8 1980 Contribution to the study of the natural number object in elementary topoi. Zbl 0427.03056 Coste-Roy, Marie-Francoise; Coste, Michel; Mahe, Louis 1 1980 Topologies for real algebraic geometry. Zbl 0417.14002 Coste, Marie-Francoise; Coste, Michel 9 1979 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,485 Authors 48 Kucharz, Wojciech 47 Safey El Din, Mohab 46 Basu, Saugata 40 Roy, Marie-Françoise 32 Fernando, José F. 27 Phạm Tiên So’n 25 Lombardi, Henri 25 Mourrain, Bernard 23 Gonzalez-Vega, Laureano 23 Kurdyka, Krzysztof 21 Sharir, Micha 20 Cucker, Felipe 20 Schost, Éric 19 Klep, Igor 19 Tsigaridas, Elias P. 18 Sagraloff, Michael 18 Szántó, Ágnes 18 Vorob’ëv, Nikolaĭ N. jun. 17 Heintz, Joos 17 Perrucci, Daniel 17 Scheiderer, Claus 16 Helton, John William 16 Rouillier, Fabrice 16 Zeng, Guangxing 15 Krick, Teresa 15 Lasserre, Jean-Bernard 15 Nie, Jiawang 15 Parusiński, Adam 15 Wessel, Daniel 15 Xia, Bican 15 Zahl, Joshua 14 Bochnak, Jacek 14 Fichou, Goulwen 14 Gamboa Mutuberria, José Manuel 13 Marshall, Murray Angus 12 Díaz-Toca, Gema María 12 Edmundo, Mário J. 12 Grigor’ev, Dmitriĭ Yur’evich 12 Jeronimo, Gabriela 12 Koiran, Pascal 12 Kummer, Mario Denis 12 Moreno Maza, Marc 12 Pach, János 12 Riener, Cordian 12 Schuster, Peter Michael 12 Valette, Guillaume 11 Bürgisser, Peter 11 Emiris, Ioannis Z. 11 Hauenstein, Jonathan D. 11 Henrion, Didier 11 Hong, Hoon 11 Kollár, János 11 McCullough, Scott A. 11 Pardo, Luis Miguel 11 Rojas, J. Maurice 11 Ruiz, Jesús M. 11 Shiota, Masahiro 11 Valette-Stasica, Anna 11 Xiao, ShuiJing 10 Blekherman, Grigoriy 10 Chen, Changbo 10 Davenport, James Harold 10 Giusti, Marc 10 Monnier, Jean-Philippe 10 Platzer, André 10 Schicho, Josef 10 Yengui, Ihsen 9 Alcazar, Juan Gerardo 9 Anai, Hirokazu 9 Bank, Bernd 9 Batkhin, Alexandr B. 9 Bilski, Marcin 9 Broglia, Fabrizio 9 Coste, Michel 9 de Wolff, Timo 9 Dinh, Si Tiep 9 Fortuna, Elisabetta 9 Lerario, Antonio 9 Moroz, Guillaume 9 Plaumann, Daniel 9 Quarez, Ronan 9 Sabia, Juan 9 Sheffer, Adam 9 Sinn, Rainer 9 Wu, Wenyuan 8 Aronov, Boris 8 Bihan, Frédéric 8 Cheng, Jinsan 8 El Kahoui, M’hammed 8 Ezra, Esther E. 8 Fox, Jacob 8 Ghiloni, Riccardo 8 Matera, Guillermo 8 Miltzow, Tillmann 8 Putinar, Mihai 8 Sturmfels, Bernd 8 Suk, Andrew 8 Szafraniec, Zbigniew 8 Volčič, Jurij 8 Xu, Ming ...and 2,385 more Authors all top 5 Cited in 417 Serials 161 Journal of Symbolic Computation 98 Journal of Pure and Applied Algebra 78 Discrete & Computational Geometry 55 Journal of Algebra 53 Theoretical Computer Science 48 Journal of Complexity 39 Proceedings of the American Mathematical Society 38 Mathematical Programming. 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Second Series 7 Journal of the Mathematical Society of Japan 7 Mathematics and Computers in Simulation 7 Proceedings of the London Mathematical Society. Third Series 7 Systems & Control Letters 7 Journal of Automated Reasoning 7 Journal of the American Mathematical Society 7 SIAM Journal on Discrete Mathematics 7 Journal of Global Optimization 7 Bulletin of the American Mathematical Society. New Series 7 Archive for Mathematical Logic 7 Applied and Computational Harmonic Analysis 7 Bulletin des Sciences Mathématiques 6 Information Processing Letters 6 Journal d’Analyse Mathématique 6 Applied Mathematics and Computation 6 Bulletin de la Société Mathématique de France 6 International Journal of Game Theory 6 Journal of Combinatorial Theory. Series A 6 Mathematische Nachrichten 6 Geometric and Functional Analysis. GAFA 6 Games and Economic Behavior 6 Journal of Algebraic Geometry 6 Theory of Computing Systems 6 Algebraic & Geometric Topology 6 Comptes Rendus. Mathématique. 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New Series 5 Combinatorics, Probability and Computing 5 Economic Theory 5 Advances in Computational Mathematics 5 Annales Henri Poincaré 5 Qualitative Theory of Dynamical Systems 5 SIAM Journal on Applied Dynamical Systems ...and 317 more Serials all top 5 Cited in 61 Fields 999 Algebraic geometry (14-XX) 633 Computer science (68-XX) 390 Commutative algebra (13-XX) 309 Mathematical logic and foundations (03-XX) 268 Numerical analysis (65-XX) 247 Field theory and polynomials (12-XX) 246 Operations research, mathematical programming (90-XX) 172 Several complex variables and analytic spaces (32-XX) 137 Linear and multilinear algebra; matrix theory (15-XX) 135 Convex and discrete geometry (52-XX) 130 Number theory (11-XX) 110 Real functions (26-XX) 98 Manifolds and cell complexes (57-XX) 95 Combinatorics (05-XX) 84 Global analysis, analysis on manifolds (58-XX) 73 Systems theory; control (93-XX) 66 Dynamical systems and ergodic theory (37-XX) 59 Calculus of variations and optimal control; optimization (49-XX) 54 Operator theory (47-XX) 54 Algebraic topology (55-XX) 49 Ordinary differential equations (34-XX) 49 Functional analysis (46-XX) 48 Order, lattices, ordered algebraic structures (06-XX) 46 Differential geometry (53-XX) 45 Quantum theory (81-XX) 45 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 43 General topology (54-XX) 40 Group theory and generalizations (20-XX) 40 Biology and other natural sciences (92-XX) 38 Associative rings and algebras (16-XX) 38 Topological groups, Lie groups (22-XX) 36 Statistics (62-XX) 35 Functions of a complex variable (30-XX) 33 Partial differential equations (35-XX) 30 Information and communication theory, circuits (94-XX) 29 Approximations and expansions (41-XX) 28 Geometry (51-XX) 27 Probability theory and stochastic processes (60-XX) 23 Category theory; homological algebra (18-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 23 Mechanics of particles and systems (70-XX) 19 Integral transforms, operational calculus (44-XX) 12 General and overarching topics; collections (00-XX) 12 \(K\)-theory (19-XX) 11 History and biography (01-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Measure and integration (28-XX) 9 Special functions (33-XX) 9 Fluid mechanics (76-XX) 7 Abstract harmonic analysis (43-XX) 6 Potential theory (31-XX) 6 Mechanics of deformable solids (74-XX) 5 Nonassociative rings and algebras (17-XX) 4 General algebraic systems (08-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Difference and functional equations (39-XX) 3 Relativity and gravitational theory (83-XX) 2 Integral equations (45-XX) 2 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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