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Mourrain, Bernard

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Author ID: mourrain.bernard Recent zbMATH articles by "Mourrain, Bernard"
Published as: Mourrain, Bernard; Mourrain, B.
Documents Indexed: 144 Publications since 1991, including 4 Books
all top 5

Co-Authors

14 single-authored
12 Trébuchet, Philippe
10 Xu, Gang
9 Elkadi, Mohamed
9 Pan, Victor Yakovlevich
8 Galligo, André
8 Tsigaridas, Elias P.
7 Busé, Laurent
7 Mantzaflaris, Angelos
6 Comon, Pierre
6 Khalil, Houssam
5 Bernardi, Alessandra
5 Brachat, Jerome
5 Emiris, Ioannis Z.
5 Ruatta, Olivier
5 Técourt, Jean-Pierre
5 Villamizar, Nelly
4 Alberti, Lionel F.
4 Szántó, Ágnes
4 Vrahatis, Michael N.
4 Wang, Wenping
4 Wintz, Julien
3 Abril Bucero, Marta
3 Devillers, Olivier
3 Diatta, Daouda Niang
3 Duvigneau, Régis
3 Hauenstein, Jonathan D.
3 Jia, Xiaohong
3 Pavone, Jean-Pascal
3 Rabczuk, Timon
3 Schatzman, Michelle
3 Solé, Patrick
3 Teillaud, Monique
3 Tu, Changhe
3 Yakoubsohn, Jean-Claude
2 Blidia, Ahmed
2 Bondyfalat, Didier
2 Bonnecaze, Alexis
2 Chèze, Guillaume
2 Choi, Yi-King
2 Fronville, Alexandra
2 Harmouch, Jouhayna
2 Lasserre, Jean-Bernard
2 Laurent, Monique
2 Nkonga, Boniface
2 Pavlidis, Nicos G.
2 Rouillier, Fabrice
2 Stolfi, Noëlle
2 Tasoulis, Dimitris K.
2 Telen, Simon
2 Van Barel, Marc
2 van der Hoeven, Joris
2 Wu, Meng
2 Xu, Jinlan
1 Adamou, I.
1 Aries, Franck
1 Arrondo, Enrique
1 Bachoc, Christine
1 Bajaj, Chandrajit L.
1 Berdinskiĭ, Dmitriĭ Aleksandrovich
1 Berthomieu, Jérémy
1 Boissonnat, Jean-Daniel
1 Bordas, Stéphane Pierre Alain
1 Bracco, Cesare
1 Cardinal, Jean Paul
1 Chen, Long
1 Cheng, Changzheng
1 Cho, Durkbin
1 Choie, YoungJu
1 Christoforou, Emmanouil
1 Cohen-Steiner, David
1 Daleo, Noah S.
1 Deng, Chongyang
1 Dong, Zhenyu
1 Dos Reis, Gabriel
1 Elias, Juan
1 Fioravanti, Mario A.
1 Fournier, Robert
1 Garnier, Christelle
1 Gatellier, G.
1 Golub, Gene Howard
1 Gonzalez-Vega, Laureano
1 Grellier, Olivier
1 Hodorog, Mădălina
1 Homs Pons, Roser
1 Hughes, Thomas J. R.
1 Hui, Kinchuen
1 Janovitz-Freireich, Itnuit
1 Jin, Yaoli
1 Josz, Cédric
1 Kajler, Norbert
1 Kiatpanichgij, Sutipong
1 Kim, Taewan
1 Labrouzy, A.
1 Lecerf, Grégoire
1 Lella, Paolo
1 Liang, Chen
1 Lim, Lek-Heng
1 Markwig, Hannah
1 Marques, Pedro Macias
1 Oh, Minjae
...and 30 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

112 Publications have been cited 1,250 times in 794 Documents Cited by Year
Symmetric tensors and symmetric tensor rank. Zbl 1181.15014
Comon, Pierre; Golub, Gene; Lim, Lek-Heng; Mourrain, Bernard
131
2008
Parameterization of computational domain in isogeometric analysis: methods and comparison. Zbl 1228.65232
Xu, Gang; Mourrain, Bernard; Duvigneau, Régis; Galligo, André
74
2011
Symmetric tensor decomposition. Zbl 1206.65141
Brachat, Jerome; Comon, Pierre; Mourrain, Bernard; Tsigaridas, Elias
66
2010
Type II codes over \(\mathbb{Z}_4\). Zbl 0898.94009
Bonnecaze, Alexis; Solé, Patrick; Bachoc, Christine; Mourrain, Bernard
44
1997
A new criterion for normal form algorithms. Zbl 0976.12005
Mourrain, B.
44
1999
Decomposition of quantics in sums of powers of linear forms. Zbl 0875.94079
Comon, P.; Mourrain, B.
44
1996
Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method. Zbl 1349.65079
Xu, Gang; Mourrain, Bernard; Duvigneau, Régis; Galligo, André
44
2013
Multivariate polynomials, duality, and structured matrices. Zbl 0963.68232
Mourrain, Bernard; Pan, Victor Y.
33
2000
Matrices in elimination theory. Zbl 0943.13005
Emiris, Ioannis Z.; Mourrain, Bernard
31
1999
Isolated points, duality and residues. Zbl 0896.13020
Mourrain, B.
29
1997
Subdivision methods for solving polynomial equations. Zbl 1158.13010
Mourrain, B.; Pavone, J. P.
29
2009
Generalized normal forms and polynomial system solving. Zbl 1360.68947
Mourrain, Bernard; Trebuchet, Philippe
27
2005
Computing the isolated roots by matrix methods. Zbl 0934.68136
Mourrain, B.
20
1998
On the dimension of spline spaces on planar T-meshes. Zbl 1360.65052
Mourrain, Bernard
19
2014
Introduction to the solution of polynomial systems. (Introduction à la résolution des systèmes polynomiaux.) Zbl 1127.13001
Elkadi, Mohamed; Mourrain, Bernard
18
2007
Resultant-based methods for plane curves intersection problems. Zbl 1169.65316
Busé, Laurent; Khalil, Houssam; Mourrain, Bernard
18
2005
On the complexity of isolating real roots and computing with certainty the topological degree. Zbl 1008.65022
Mourrain, B.; Vrahatis, M. N.; Yakoubsohn, J. C.
17
2002
Generalized resultants over unirational algebraic varieties. Zbl 0983.14039
Busé, Laurent; Elkadi, Mohamed; Mourrain, Bernard
17
2000
The DMM bound: multivariate (aggregate) separation bounds. Zbl 1321.68528
Emiris, Ioannis Z.; Mourrain, Bernard; Tsigaridas, Elias P.
17
2010
High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods. Zbl 1311.65020
Xu, Gang; Mourrain, Bernard; Galligo, André; Rabczuk, Timon
17
2014
A generalized flat extension theorem for moment matrices. Zbl 1183.30030
Laurent, Monique; Mourrain, Bernard
16
2009
A comparison of different notions of ranks of symmetric tensors. Zbl 1298.15034
Bernardi, Alessandra; Brachat, Jérôme; Mourrain, Bernard
16
2014
On the computation of the topology of a non-reduced implicit space curve. Zbl 1238.14046
Daouda, Diatta Niang; Mourrain, Bernard; Ruatta, Olivier
15
2008
General tensor decomposition, moment matrices and applications. Zbl 1275.15017
Bernardi, A.; Brachat, J.; Comon, P.; Mourrain, B.
15
2013
Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology. Zbl 1418.41010
Mourrain, Bernard; Vidunas, Raimundas; Villamizar, Nelly
15
2016
Real algebraic numbers: Complexity analysis and experimentation. Zbl 1165.65315
Emiris, Ioannis Z.; Mourrain, Bernard; Tsigaridas, Elias P.
14
2008
Topology and arrangement computation of semi-algebraic planar curves. Zbl 1172.14343
Alberti, L.; Mourrain, B.; Wintz, J.
13
2008
On the computation of an arrangement of quadrics in 3D. Zbl 1063.65018
Mourrain, Bernard; Técourt, Jean-Pierre; Teillaud, Monique
13
2005
The Bernstein-basis and real root isolation. Zbl 1094.14051
Mourrain, Bernard; Rouillier, Fabrice; Roy, Marie-Françoise
13
2005
Moment matrices, border bases and real radical computation. Zbl 1276.13021
Lasserre, Jean-Bernard; Laurent, Monique; Mourrain, Bernard; Rostalski, Philipp; Trébuchet, Philippe
13
2013
Deflation and certified isolation of singular zeros of polynomial systems. Zbl 1323.65054
Mantzaflaris, Angelos; Mourrain, Bernard
13
2011
Computing the topology of three-dimensional algebraic curves. Zbl 1077.14089
Gatellier, G.; Labrouzy, A.; Mourrain, B.; Técourt, J. P.
12
2005
Stable normal forms for polynomial system solving. Zbl 1159.68045
Mourrain, Bernard; Trébuchet, Philippe
12
2008
Explicit factors of some iterated resultants and discriminants. Zbl 1200.13042
Busé, Laurent; Mourrain, Bernard
11
2009
Dimensions and bases of hierarchical tensor-product splines. Zbl 1292.65009
Berdinsky, Dmitry; Kim, Tae-wan; Bracco, Cesare; Cho, Durkbin; Mourrain, Bernard; Oh, Min-jae; Kiatpanichgij, Sutipong
11
2014
Algebraic approach of residues and applications. Zbl 0857.13026
Cardinal, J. P.; Mourrain, B.
10
1996
Solving special polynomial systems by using structured matrices and algebraic residues. Zbl 0922.65044
Mourrain, Bernard; Pan, Victor Y.
10
1997
Isotopic triangulation of a real algebraic surface. Zbl 1173.14344
Alberti, Lionel; Mourrain, Bernard; Técourt, Jean-Pierre
10
2009
\(G^1\)-smooth splines on quad meshes with 4-split macro-patch elements. Zbl 1366.65012
Blidia, Ahmed; Mourrain, Bernard; Villamizar, Nelly
10
2017
Resultant over the residual of a complete intersection. Zbl 1075.14525
Busé, L.; Elkadi, M.; Mourrain, B.
8
2001
On continued fraction expansion of real roots of polynomial systems, complexity and condition numbers. Zbl 1243.12005
Mantzaflaris, Angelos; Mourrain, Bernard; Tsigaridas, Elias
8
2011
Using projection operators in computer aided geometric design. Zbl 1036.14500
Busé, Laurent; Elkadi, Mohamed; Mourrain, Bernard
8
2003
Certifying isolated singular points and their multiplicity structure. Zbl 1345.68286
Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes
8
2015
Algorithms for residues and Łojasiewicz exponents. Zbl 0974.13021
Elkadi, M.; Mourrain, B.
7
2000
Computation of a specified root of a polynomial system of equations using eigenvectors. Zbl 0973.65038
Bondyfalat, Didier; Mourrain, Bernard; Pan, Victor Y.
7
2000
Polynomial-exponential decomposition from moments. Zbl 1427.14119
Mourrain, Bernard
7
2018
Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization. Zbl 1439.65200
Xu, Gang; Li, Ming; Mourrain, Bernard; Rabczuk, Timon; Xu, Jinlan; Bordas, Stéphane P. A.
7
2018
Asymptotic acceleration of solving multivariate polynomial systems of equations. Zbl 1028.68216
Mourrain, Bernard; Pan, Victor Y.
6
1998
Relations between roots and coefficients, interpolation and application to system solving. Zbl 1022.13007
Mourrain, Bernard; Ruatta, Olivier
6
2002
Homological techniques for the analysis of the dimension of triangular spline spaces. Zbl 1370.41020
Mourrain, Bernard; Villamizar, Nelly
6
2013
Subdivision methods for the topology of 2d and 3d implicit curves. Zbl 1132.14335
Liang, Chen; Mourrain, Bernard; Pavone, Jean-Pascal
6
2008
Meshing of surfaces. Zbl 1116.65020
Boissonnat, Jean-Daniel; Cohen-Steiner, David; Mourrain, Bernard; Rote, Günter; Vegter, Gert
6
2007
Using signature sequences to classify intersection curves of two quadrics. Zbl 1205.68473
Tu, Changhe; Wang, Wenping; Mourrain, Bernard; Wang, Jiaye
6
2009
Residue and implicitization problem for rational surfaces. Zbl 1058.14073
Elkadi, Mohamed; Mourrain, Bernard
6
2004
On the isotopic meshing of an algebraic implicit surface. Zbl 1237.14069
Diatta, Daouda Niang; Mourrain, Bernard; Ruatta, Olivier
6
2012
Border basis representation of a general quotient algebra. Zbl 1323.68618
Mourrain, Bernard; Trébuchet, Philippe
6
2012
Extensors and the Hilbert scheme. Zbl 1342.14008
Brachat, Jérôme; Lella, Paolo; Mourrain, Bernard; Roggero, Margherita
6
2016
Algebraic methods and arithmetic filtering for exact predicates on circle arcs. Zbl 1016.68142
Devillers, Olivier; Fronville, Alexandra; Mourrain, Bernard; Teillaud, Monique
5
2002
Pythagore’s dilemma, symbolic-numeric computation, and the border basis method. Zbl 1117.65076
Mourrain, Bernard
5
2007
An algebraic approach to continuous collision detection for ellipsoids. Zbl 1233.65020
Jia, Xiaohong; Choi, Yi-King; Mourrain, Bernard; Wang, Wenping
5
2011
Enumeration problems in geometry, robotics and vision. Zbl 0915.14031
Mourrain, B.
5
1996
Circular cylinders through four or five points in space. Zbl 1031.52008
Devillers, Olivier; Mourrain, Bernard; Preparata, Franco P.; Trebuchet, Philippe
5
2003
Meshing implicit algebraic surfaces: the smooth case. Zbl 1080.65514
Alberti, L.; Comte, G.; Mourrain, B.
5
2005
Multihomogeneous polynomial decomposition using moment matrices. Zbl 1323.15017
Bernardi, Alessandra; Brachat, Jérôme; Comon, Pierre; Mourrain, Bernard
5
2011
Tensor decomposition and homotopy continuation. Zbl 1377.65057
Bernardi, Alessandra; Daleo, Noah S.; Hauenstein, Jonathan D.; Mourrain, Bernard
5
2017
Curve/surface intersection problem by means of matrix representations. Zbl 1356.65060
Thang, Luu Ba; Busé, Laurent; Mourrain, Bernard
5
2009
On deflation and multiplicity structure. Zbl 1387.13063
Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes
5
2017
Controlled iterative methods for solving polynomial systems. Zbl 0924.65043
Bondyfalat, Didier; Mourrain, Bernard; Pan, Victor Y.
4
1998
Bezoutian and quotient ring structure. Zbl 1120.13035
Mourrain, B.
4
2005
A subdivision method for computing nearest gcd with certification. Zbl 1221.68297
Chèze, Guillaume; Galligo, André; Mourrain, Bernard; Yakoubsohn, Jean-Claude
4
2011
An introduction to linear algebra methods for solving polynomial equations. Zbl 0944.65054
Mourrain, B.
4
1998
Rankin-Cohen brackets and invariant theory. Zbl 1039.11024
Choie, Y.; Mourrain, B.; Solé, P.
4
2001
Efficient construction of multi-block volumetric spline parameterization by discrete mask method. Zbl 1321.65028
Xu, Gang; Mourrain, Bernard; Wu, Xiangyang; Chen, Long; Hui, Kin-chuen
4
2015
Continuous detection of the variations of the intersection curve of two moving quadrics in 3-dimensional projective space. Zbl 1336.68309
Jia, Xiaohong; Wang, Wenping; Choi, Yi-King; Mourrain, Bernard; Tu, Changhe
4
2016
Border basis relaxation for polynomial optimization. Zbl 1346.90655
Abril Bucero, Marta; Mourrain, Bernard
4
2016
Solving polynomial systems via truncated normal forms. Zbl 1401.65054
Telen, Simon; Mourrain, Bernard; Barel, Marc Van
4
2018
The 40 “generic” positions of a parallel robot. Zbl 0925.70047
Mourrain, B.
3
1993
Accelerated solution of multivariate polynomial systems of equations. Zbl 1030.65051
Mourrain, B.; Pan, V. Y.; Ruatta, O.
3
2003
Convergence rates for solving elliptic boundary value problems with singular parameterizations in isogeometric analysis. Zbl 1366.65098
Wu, Meng; Wang, Yicao; Mourrain, Bernard; Nkonga, Boniface; Cheng, Changzheng
3
2017
Analytical blind channel identification. Zbl 1369.94467
Grellier, Olivier; Comon, Pierre; Mourrain, Bernard; Trébuchet, Philippe
3
2002
Algebraic methods and arithmetic filtering for exact predicates on circle arcs. Zbl 1374.68658
Devillers, Olivier; Fronville, Alexandra; Mourrain, Bernard; Teillaud, Monique
3
2000
Bounds on the dimension of trivariate spline spaces: a homological approach. Zbl 1317.13035
Mourrain, Bernard; Villamizar, Nelly
3
2014
Computing nearest gcd with certification. Zbl 1356.68273
Chèze, Guillaume; Yakoubsohn, Jean-Claude; Galligo, André; Mourrain, Bernard
3
2009
Multidimensional structured matrices and polynomial systems. Zbl 0904.65050
Mourrain, Bernard; Pan, Victor Y.
2
1996
Some algebra with formal matrices. Zbl 0736.16014
Mourrain, Bernard
2
1991
Applications of Clifford algebras in robotics. Zbl 0900.70070
Mourrain, B.; Stolfi, N.
2
1995
Regularity criteria for the topology of algebraic curves and surfaces. Zbl 1163.68342
Alberti, Lionel; Mourrain, Bernard
2
2007
Algebraic issues in computational geometry. Zbl 1116.65029
Mourrain, Bernard; Pion, Sylvain; Schmitt, Susanne; Técourt, Jean-Pierre; Tsigaridas, Elias; Wolpert, Nocola
2
2007
Symbolic-numeric methods for solving polynomial equations and applications. Zbl 1152.68701
Elkadi, Mohamed; Mourrain, Bernard
2
2005
Jacobi polynomials, type II codes, and designs. Zbl 1049.94018
Bonnecaze, Alexis; Mourrain, Bernard; Solé, Patrick
2
1999
An environment for symbolic and numeric computation. Zbl 1057.68140
Dos Reis, G.; Mourrain, B.; Trébuchet, Ph.; Rouillier, F.
2
2002
Toric border basis. Zbl 1325.68296
Mourrain, Bernard; Trébuchet, Philippe
2
2014
Solving projective complete intersection faster. Zbl 1326.68363
Mourrain, Bernard; Trebuchet, Philippe
2
2000
Singular zeros of polynomial systems. Zbl 1331.65074
Mantzaflaris, Angelos; Mourrain, Bernard
2
2014
Bisectors and Voronoï diagram of a family of parallel half-lines. Zbl 1331.65033
Adamou, I.; Fioravanti, M.; Gonzalez-Vega, L.; Mourrain, B.
2
2014
Continued fraction expansion of real roots of polynomial systems. Zbl 1356.65124
Mantzaflaris, Angelos; Mourrain, Bernard; Tsigaridas, Elias
2
2009
SYNAPS: a library for dedicated applications in symbolic numeric computing. Zbl 1161.68882
Mourrain, Bernard; Pavone, Jean-Pascal; Trebuchet, Philippe; Tsigaridas, Elias P.; Wintz, Julien
1
2008
Determining the number of real roots of polynomials through neural networks. Zbl 1100.65044
Mourrain, B.; Pavlidis, N. G.; Tasoulis, D. K.; Vrahatis, M. N.
1
2006
A subdivision method for arrangement computation of semi-algebraic curves. Zbl 1191.68890
Mourrain, Bernard; Wintz, Julien
1
2010
Computational symbolic geometry. Zbl 1114.68558
Mourrain, B.; Stolfi, N.
1
1995
Computing minimal Gorenstein covers. Zbl 1452.13032
Elias, Juan; Homs, Roser; Mourrain, Bernard
1
2020
Separation bounds for polynomial systems. Zbl 1446.68202
Emiris, Ioannis; Mourrain, Bernard; Tsigaridas, Elias
1
2020
Sparse polynomial interpolation: sparse recovery, super-resolution, or Prony? Zbl 1417.90112
Josz, Cédric; Lasserre, Jean Bernard; Mourrain, Bernard
1
2019
Polynomial-exponential decomposition from moments. Zbl 1427.14119
Mourrain, Bernard
7
2018
Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization. Zbl 1439.65200
Xu, Gang; Li, Ming; Mourrain, Bernard; Rabczuk, Timon; Xu, Jinlan; Bordas, Stéphane P. A.
7
2018
Solving polynomial systems via truncated normal forms. Zbl 1401.65054
Telen, Simon; Mourrain, Bernard; Barel, Marc Van
4
2018
Structured low rank decomposition of multivariate Hankel matrices. Zbl 1417.15044
Harmouch, J.; Khalil, H.; Mourrain, B.
1
2018
\(G^1\)-smooth splines on quad meshes with 4-split macro-patch elements. Zbl 1366.65012
Blidia, Ahmed; Mourrain, Bernard; Villamizar, Nelly
10
2017
Tensor decomposition and homotopy continuation. Zbl 1377.65057
Bernardi, Alessandra; Daleo, Noah S.; Hauenstein, Jonathan D.; Mourrain, Bernard
5
2017
On deflation and multiplicity structure. Zbl 1387.13063
Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes
5
2017
Convergence rates for solving elliptic boundary value problems with singular parameterizations in isogeometric analysis. Zbl 1366.65098
Wu, Meng; Wang, Yicao; Mourrain, Bernard; Nkonga, Boniface; Cheng, Changzheng
3
2017
Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology. Zbl 1418.41010
Mourrain, Bernard; Vidunas, Raimundas; Villamizar, Nelly
15
2016
Extensors and the Hilbert scheme. Zbl 1342.14008
Brachat, Jérôme; Lella, Paolo; Mourrain, Bernard; Roggero, Margherita
6
2016
Continuous detection of the variations of the intersection curve of two moving quadrics in 3-dimensional projective space. Zbl 1336.68309
Jia, Xiaohong; Wang, Wenping; Choi, Yi-King; Mourrain, Bernard; Tu, Changhe
4
2016
Border basis relaxation for polynomial optimization. Zbl 1346.90655
Abril Bucero, Marta; Mourrain, Bernard
4
2016
Flat extensions in \(\ast\)-algebras. Zbl 1364.46047
Mourrain, Bernard; Schmüdgen, Konrad
1
2016
On the construction of general cubature formula by flat extensions. Zbl 1386.65094
Abril Bucero, Marta; Bajaj, Chandrajit; Mourrain, Bernard
1
2016
Certifying isolated singular points and their multiplicity structure. Zbl 1345.68286
Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes
8
2015
Efficient construction of multi-block volumetric spline parameterization by discrete mask method. Zbl 1321.65028
Xu, Gang; Mourrain, Bernard; Wu, Xiangyang; Chen, Long; Hui, Kin-chuen
4
2015
On the dimension of spline spaces on planar T-meshes. Zbl 1360.65052
Mourrain, Bernard
19
2014
High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods. Zbl 1311.65020
Xu, Gang; Mourrain, Bernard; Galligo, André; Rabczuk, Timon
17
2014
A comparison of different notions of ranks of symmetric tensors. Zbl 1298.15034
Bernardi, Alessandra; Brachat, Jérôme; Mourrain, Bernard
16
2014
Dimensions and bases of hierarchical tensor-product splines. Zbl 1292.65009
Berdinsky, Dmitry; Kim, Tae-wan; Bracco, Cesare; Cho, Durkbin; Mourrain, Bernard; Oh, Min-jae; Kiatpanichgij, Sutipong
11
2014
Bounds on the dimension of trivariate spline spaces: a homological approach. Zbl 1317.13035
Mourrain, Bernard; Villamizar, Nelly
3
2014
Toric border basis. Zbl 1325.68296
Mourrain, Bernard; Trébuchet, Philippe
2
2014
Singular zeros of polynomial systems. Zbl 1331.65074
Mantzaflaris, Angelos; Mourrain, Bernard
2
2014
Bisectors and Voronoï diagram of a family of parallel half-lines. Zbl 1331.65033
Adamou, I.; Fioravanti, M.; Gonzalez-Vega, L.; Mourrain, B.
2
2014
Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method. Zbl 1349.65079
Xu, Gang; Mourrain, Bernard; Duvigneau, Régis; Galligo, André
44
2013
General tensor decomposition, moment matrices and applications. Zbl 1275.15017
Bernardi, A.; Brachat, J.; Comon, P.; Mourrain, B.
15
2013
Moment matrices, border bases and real radical computation. Zbl 1276.13021
Lasserre, Jean-Bernard; Laurent, Monique; Mourrain, Bernard; Rostalski, Philipp; Trébuchet, Philippe
13
2013
Homological techniques for the analysis of the dimension of triangular spline spaces. Zbl 1370.41020
Mourrain, Bernard; Villamizar, Nelly
6
2013
Superfast solution of Toeplitz systems based on syzygy reduction. Zbl 1267.65032
Khalil, Houssam; Mourrain, Bernard; Schatzman, Michelle
1
2013
On the isotopic meshing of an algebraic implicit surface. Zbl 1237.14069
Diatta, Daouda Niang; Mourrain, Bernard; Ruatta, Olivier
6
2012
Border basis representation of a general quotient algebra. Zbl 1323.68618
Mourrain, Bernard; Trébuchet, Philippe
6
2012
On the computation of matrices of traces and radicals of ideals. Zbl 1230.13002
Janovitz-Freireich, Itnuit; Mourrain, Bernard; Rónyai, Lajos; Szántó, Ágnes
1
2012
Parameterization of computational domain in isogeometric analysis: methods and comparison. Zbl 1228.65232
Xu, Gang; Mourrain, Bernard; Duvigneau, Régis; Galligo, André
74
2011
Deflation and certified isolation of singular zeros of polynomial systems. Zbl 1323.65054
Mantzaflaris, Angelos; Mourrain, Bernard
13
2011
On continued fraction expansion of real roots of polynomial systems, complexity and condition numbers. Zbl 1243.12005
Mantzaflaris, Angelos; Mourrain, Bernard; Tsigaridas, Elias
8
2011
An algebraic approach to continuous collision detection for ellipsoids. Zbl 1233.65020
Jia, Xiaohong; Choi, Yi-King; Mourrain, Bernard; Wang, Wenping
5
2011
Multihomogeneous polynomial decomposition using moment matrices. Zbl 1323.15017
Bernardi, Alessandra; Brachat, Jérôme; Comon, Pierre; Mourrain, Bernard
5
2011
A subdivision method for computing nearest gcd with certification. Zbl 1221.68297
Chèze, Guillaume; Galligo, André; Mourrain, Bernard; Yakoubsohn, Jean-Claude
4
2011
A construction of injective parameterizations of domains for isogeometric applications. Zbl 1350.65128
Nguyen, Thien; Mourrain, Bernard; Galligo, André; Xu, Gang
1
2011
Symmetric tensor decomposition. Zbl 1206.65141
Brachat, Jerome; Comon, Pierre; Mourrain, Bernard; Tsigaridas, Elias
66
2010
The DMM bound: multivariate (aggregate) separation bounds. Zbl 1321.68528
Emiris, Ioannis Z.; Mourrain, Bernard; Tsigaridas, Elias P.
17
2010
A subdivision method for arrangement computation of semi-algebraic curves. Zbl 1191.68890
Mourrain, Bernard; Wintz, Julien
1
2010
GENOM3CK: a library for genus computation of plane complex algebraic curves using knot theory. Zbl 1308.68173
Hodorog, Mădălina; Mourrain, Bernard; Schicho, Josef
1
2010
Subdivision methods for solving polynomial equations. Zbl 1158.13010
Mourrain, B.; Pavone, J. P.
29
2009
A generalized flat extension theorem for moment matrices. Zbl 1183.30030
Laurent, Monique; Mourrain, Bernard
16
2009
Explicit factors of some iterated resultants and discriminants. Zbl 1200.13042
Busé, Laurent; Mourrain, Bernard
11
2009
Isotopic triangulation of a real algebraic surface. Zbl 1173.14344
Alberti, Lionel; Mourrain, Bernard; Técourt, Jean-Pierre
10
2009
Using signature sequences to classify intersection curves of two quadrics. Zbl 1205.68473
Tu, Changhe; Wang, Wenping; Mourrain, Bernard; Wang, Jiaye
6
2009
Curve/surface intersection problem by means of matrix representations. Zbl 1356.65060
Thang, Luu Ba; Busé, Laurent; Mourrain, Bernard
5
2009
Computing nearest gcd with certification. Zbl 1356.68273
Chèze, Guillaume; Yakoubsohn, Jean-Claude; Galligo, André; Mourrain, Bernard
3
2009
Continued fraction expansion of real roots of polynomial systems. Zbl 1356.65124
Mantzaflaris, Angelos; Mourrain, Bernard; Tsigaridas, Elias
2
2009
Symmetric tensors and symmetric tensor rank. Zbl 1181.15014
Comon, Pierre; Golub, Gene; Lim, Lek-Heng; Mourrain, Bernard
131
2008
On the computation of the topology of a non-reduced implicit space curve. Zbl 1238.14046
Daouda, Diatta Niang; Mourrain, Bernard; Ruatta, Olivier
15
2008
Real algebraic numbers: Complexity analysis and experimentation. Zbl 1165.65315
Emiris, Ioannis Z.; Mourrain, Bernard; Tsigaridas, Elias P.
14
2008
Topology and arrangement computation of semi-algebraic planar curves. Zbl 1172.14343
Alberti, L.; Mourrain, B.; Wintz, J.
13
2008
Stable normal forms for polynomial system solving. Zbl 1159.68045
Mourrain, Bernard; Trébuchet, Philippe
12
2008
Subdivision methods for the topology of 2d and 3d implicit curves. Zbl 1132.14335
Liang, Chen; Mourrain, Bernard; Pavone, Jean-Pascal
6
2008
SYNAPS: a library for dedicated applications in symbolic numeric computing. Zbl 1161.68882
Mourrain, Bernard; Pavone, Jean-Pascal; Trebuchet, Philippe; Tsigaridas, Elias P.; Wintz, Julien
1
2008
Introduction to the solution of polynomial systems. (Introduction à la résolution des systèmes polynomiaux.) Zbl 1127.13001
Elkadi, Mohamed; Mourrain, Bernard
18
2007
Meshing of surfaces. Zbl 1116.65020
Boissonnat, Jean-Daniel; Cohen-Steiner, David; Mourrain, Bernard; Rote, Günter; Vegter, Gert
6
2007
Pythagore’s dilemma, symbolic-numeric computation, and the border basis method. Zbl 1117.65076
Mourrain, Bernard
5
2007
Regularity criteria for the topology of algebraic curves and surfaces. Zbl 1163.68342
Alberti, Lionel; Mourrain, Bernard
2
2007
Algebraic issues in computational geometry. Zbl 1116.65029
Mourrain, Bernard; Pion, Sylvain; Schmitt, Susanne; Técourt, Jean-Pierre; Tsigaridas, Elias; Wolpert, Nocola
2
2007
Determining the number of real roots of polynomials through neural networks. Zbl 1100.65044
Mourrain, B.; Pavlidis, N. G.; Tasoulis, D. K.; Vrahatis, M. N.
1
2006
Generalized normal forms and polynomial system solving. Zbl 1360.68947
Mourrain, Bernard; Trebuchet, Philippe
27
2005
Resultant-based methods for plane curves intersection problems. Zbl 1169.65316
Busé, Laurent; Khalil, Houssam; Mourrain, Bernard
18
2005
On the computation of an arrangement of quadrics in 3D. Zbl 1063.65018
Mourrain, Bernard; Técourt, Jean-Pierre; Teillaud, Monique
13
2005
The Bernstein-basis and real root isolation. Zbl 1094.14051
Mourrain, Bernard; Rouillier, Fabrice; Roy, Marie-Françoise
13
2005
Computing the topology of three-dimensional algebraic curves. Zbl 1077.14089
Gatellier, G.; Labrouzy, A.; Mourrain, B.; Técourt, J. P.
12
2005
Meshing implicit algebraic surfaces: the smooth case. Zbl 1080.65514
Alberti, L.; Comte, G.; Mourrain, B.
5
2005
Bezoutian and quotient ring structure. Zbl 1120.13035
Mourrain, B.
4
2005
Symbolic-numeric methods for solving polynomial equations and applications. Zbl 1152.68701
Elkadi, Mohamed; Mourrain, Bernard
2
2005
Residue and implicitization problem for rational surfaces. Zbl 1058.14073
Elkadi, Mohamed; Mourrain, Bernard
6
2004
Quadratically parametrized surfaces: algorithms and applications. Zbl 1060.65528
Aries, Franck; Mourrain, Bernard; Técourt, Jean-Pierre
1
2004
Using projection operators in computer aided geometric design. Zbl 1036.14500
Busé, Laurent; Elkadi, Mohamed; Mourrain, Bernard
8
2003
Circular cylinders through four or five points in space. Zbl 1031.52008
Devillers, Olivier; Mourrain, Bernard; Preparata, Franco P.; Trebuchet, Philippe
5
2003
Accelerated solution of multivariate polynomial systems of equations. Zbl 1030.65051
Mourrain, B.; Pan, V. Y.; Ruatta, O.
3
2003
On the complexity of isolating real roots and computing with certainty the topological degree. Zbl 1008.65022
Mourrain, B.; Vrahatis, M. N.; Yakoubsohn, J. C.
17
2002
Relations between roots and coefficients, interpolation and application to system solving. Zbl 1022.13007
Mourrain, Bernard; Ruatta, Olivier
6
2002
Algebraic methods and arithmetic filtering for exact predicates on circle arcs. Zbl 1016.68142
Devillers, Olivier; Fronville, Alexandra; Mourrain, Bernard; Teillaud, Monique
5
2002
Analytical blind channel identification. Zbl 1369.94467
Grellier, Olivier; Comon, Pierre; Mourrain, Bernard; Trébuchet, Philippe
3
2002
An environment for symbolic and numeric computation. Zbl 1057.68140
Dos Reis, G.; Mourrain, B.; Trébuchet, Ph.; Rouillier, F.
2
2002
Asymptotic acceleration of the solution of multivariate polynomial systems of equations. Zbl 1015.65022
Mourrain, B.; Pan, V. Y.; Ruatta, O.
1
2002
Resultant over the residual of a complete intersection. Zbl 1075.14525
Busé, L.; Elkadi, M.; Mourrain, B.
8
2001
Rankin-Cohen brackets and invariant theory. Zbl 1039.11024
Choie, Y.; Mourrain, B.; Solé, P.
4
2001
Multivariate polynomials, duality, and structured matrices. Zbl 0963.68232
Mourrain, Bernard; Pan, Victor Y.
33
2000
Generalized resultants over unirational algebraic varieties. Zbl 0983.14039
Busé, Laurent; Elkadi, Mohamed; Mourrain, Bernard
17
2000
Algorithms for residues and Łojasiewicz exponents. Zbl 0974.13021
Elkadi, M.; Mourrain, B.
7
2000
Computation of a specified root of a polynomial system of equations using eigenvectors. Zbl 0973.65038
Bondyfalat, Didier; Mourrain, Bernard; Pan, Victor Y.
7
2000
Algebraic methods and arithmetic filtering for exact predicates on circle arcs. Zbl 1374.68658
Devillers, Olivier; Fronville, Alexandra; Mourrain, Bernard; Teillaud, Monique
3
2000
Solving projective complete intersection faster. Zbl 1326.68363
Mourrain, Bernard; Trebuchet, Philippe
2
2000
A new criterion for normal form algorithms. Zbl 0976.12005
Mourrain, B.
44
1999
Matrices in elimination theory. Zbl 0943.13005
Emiris, Ioannis Z.; Mourrain, Bernard
31
1999
Jacobi polynomials, type II codes, and designs. Zbl 1049.94018
Bonnecaze, Alexis; Mourrain, Bernard; Solé, Patrick
2
1999
Computing the isolated roots by matrix methods. Zbl 0934.68136
Mourrain, B.
20
1998
Asymptotic acceleration of solving multivariate polynomial systems of equations. Zbl 1028.68216
Mourrain, Bernard; Pan, Victor Y.
6
1998
Controlled iterative methods for solving polynomial systems. Zbl 0924.65043
Bondyfalat, Didier; Mourrain, Bernard; Pan, Victor Y.
4
1998
...and 12 more Documents
all top 5

Cited by 1,075 Authors

59 Mourrain, Bernard
24 Ballico, Edoardo
18 Bernardi, Alessandra
16 Harada, Masaaki
16 Tsigaridas, Elias P.
15 Busé, Laurent
15 Jüttler, Bert
15 Pan, Victor Yakovlevich
15 Xu, Gang
11 Cheng, Jinsan
11 Comon, Pierre
11 Deng, Jiansong
10 Emiris, Ioannis Z.
10 Solé, Patrick
9 Hauenstein, Jonathan D.
9 Kapl, Mario
9 Qi, Liqun
9 Sagraloff, Michael
8 Alcazar, Juan Gerardo
8 Galligo, André
8 Nie, Jiawang
8 Speleers, Hendrik
7 Bordas, Stéphane Pierre Alain
7 Chen, Falai
7 De Lathauwer, Lieven
7 Kreuzer, Martin
7 Oneto, Alessandro
7 Szántó, Ágnes
7 Teitler, Zach
7 Zhi, Lihong
6 Bracco, Cesare
6 D’Andrea, Carlos
6 Deng, Fang
6 Elkadi, Mohamed
6 Faugère, Jean-Charles
6 Gonzalez-Vega, Laureano
6 Manni, Carla
6 Minimair, Manfred
6 Ottaviani, Giorgio Maria
6 Rabczuk, Timon
6 Roggero, Margherita
6 Schost, Éric
6 Usevich, Konstantin
6 Wang, Yiju
5 Carlini, Enrico
5 Chiantini, Luca
5 Díaz-Toca, Gema María
5 Dougherty, Steven T.
5 Fan, Jinyan
5 Gao, Xiaoshan
5 Jeronimo, Gabriela
5 Jin, Kai
5 Lazard, Sylvain
5 Sangalli, Giancarlo
5 Toshniwal, Deepesh
5 Villamizar, Nelly
5 Vitrih, Vito
5 Vrahatis, Michael N.
5 Xu, Jinlan
5 Zeng, Chao
5 Zhou, Anwa
5 Zhu, Chungang
4 Bouzidi, Yacine
4 Caravantes, Jorge
4 Dipasquale, Michael R.
4 Feng, Yong
4 Gaborit, Philippe
4 Giannelli, Carlotta
4 Jia, Xiaohong
4 Johannessen, Kjetil André
4 Kleiss, Stefan K.
4 Kvamsdal, Trond
4 Lasserre, Jean-Bernard
4 Laurent, Monique
4 Lazard, Daniel
4 Lewis, Robert H.
4 Li, Xin
4 Lim, Lek-Heng
4 Loperfido, Nicola M. R.
4 Mantzaflaris, Angelos
4 Mora, Teo
4 Munemasa, Akihiro
4 Qi, Yang
4 Rojas, J. Maurice
4 Rouillier, Fabrice
4 Ruatta, Olivier
4 Safey El Din, Mohab
4 Schicho, Josef
4 Sommese, Andrew John
4 Takacs, Thomas
4 Telen, Simon
4 Van Barel, Marc
4 Vannieuwenhoven, Nick
4 Ventura, Emanuele
4 Wang, Wenping
4 Wu, Meng
4 Wu, Wenyuan
4 Xu, Changqing
3 Abril Bucero, Marta
3 Alonso García, María Emilia
...and 975 more Authors
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Cited in 176 Serials

109 Journal of Symbolic Computation
57 Computer Aided Geometric Design
49 Computer Methods in Applied Mechanics and Engineering
33 Linear Algebra and its Applications
26 Theoretical Computer Science
25 Journal of Computational and Applied Mathematics
18 SIAM Journal on Matrix Analysis and Applications
16 Computers & Mathematics with Applications
16 Journal of Pure and Applied Algebra
14 Journal of Complexity
13 Applied Mathematics and Computation
12 Linear and Multilinear Algebra
12 Mathematics in Computer Science
11 Mathematics of Computation
11 Computational Geometry
10 Applicable Algebra in Engineering, Communication and Computing
10 Finite Fields and their Applications
9 Foundations of Computational Mathematics
9 SIAM Journal on Applied Algebra and Geometry
8 Collectanea Mathematica
8 Journal of Algebra
7 Mathematics and Computers in Simulation
7 Journal of Systems Science and Complexity
7 Frontiers of Mathematics in China
6 Discrete Mathematics
6 Journal of Computational Physics
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Numerical Algorithms
6 Science China. Mathematics
5 Transactions of the American Mathematical Society
5 Advances in Applied Mathematics
5 Discrete & Computational Geometry
5 Mathematical Programming. Series A. Series B
5 SIAM Journal on Scientific Computing
5 Advances in Computational Mathematics
5 Journal of Algebra and its Applications
4 Advances in Mathematics
4 Journal of Combinatorial Theory. Series A
4 Numerische Mathematik
4 Computational Optimization and Applications
4 Numerical Linear Algebra with Applications
4 Asian-European Journal of Mathematics
4 Mathematics
3 Journal of Mathematical Analysis and Applications
3 Calcolo
3 Mathematische Zeitschrift
3 European Journal of Combinatorics
3 Computational Mechanics
3 International Journal of Computational Geometry & Applications
3 Journal of Algebraic Combinatorics
3 Annals of Mathematics and Artificial Intelligence
3 Advances in Mathematics of Communications
3 SMAI Journal of Computational Mathematics
2 Communications in Algebra
2 International Journal of Control
2 Journal of the Franklin Institute
2 Journal of Mathematical Physics
2 Letters in Mathematical Physics
2 Acta Mathematica Vietnamica
2 Archiv der Mathematik
2 Journal of Geometry
2 Mathematische Annalen
2 Proceedings of the American Mathematical Society
2 Bulletin of the Korean Mathematical Society
2 Graphs and Combinatorics
2 Applied Mathematics Letters
2 Journal of Scientific Computing
2 Signal Processing
2 Japan Journal of Industrial and Applied Mathematics
2 International Journal of Algebra and Computation
2 Journal of Global Optimization
2 Designs, Codes and Cryptography
2 Experimental Mathematics
2 Applied Mathematics. Series B (English Edition)
2 Journal de Théorie des Nombres de Bordeaux
2 Mediterranean Journal of Mathematics
2 Complex Analysis and Operator Theory
2 Optimization Letters
2 Discrete Mathematics, Algorithms and Applications
2 The Journal of Software for Algebra and Geometry
2 Communications in Mathematics and Statistics
2 Bollettino dell’Unione Matematica Italiana
1 Archive for Rational Mechanics and Analysis
1 Journal of Fluid Mechanics
1 Journal of Statistical Physics
1 Theoretical and Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Beiträge zur Algebra und Geometrie
1 Annales de l’Institut Fourier
1 The Annals of Statistics
1 BIT
1 Glasgow Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Integral Equations and Operator Theory
1 Journal of Applied Probability
1 Journal of Differential Equations
1 Journal of Multivariate Analysis
1 Journal of Number Theory
1 Journal für die Reine und Angewandte Mathematik
...and 76 more Serials
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Cited in 54 Fields

374 Numerical analysis (65-XX)
199 Algebraic geometry (14-XX)
179 Computer science (68-XX)
170 Commutative algebra (13-XX)
168 Linear and multilinear algebra; matrix theory (15-XX)
63 Information and communication theory, circuits (94-XX)
52 Field theory and polynomials (12-XX)
50 Number theory (11-XX)
39 Operations research, mathematical programming (90-XX)
35 Approximations and expansions (41-XX)
31 Mechanics of deformable solids (74-XX)
28 Real functions (26-XX)
25 Functions of a complex variable (30-XX)
17 Statistics (62-XX)
16 Combinatorics (05-XX)
15 Systems theory; control (93-XX)
14 Partial differential equations (35-XX)
13 Operator theory (47-XX)
12 Differential geometry (53-XX)
11 Fluid mechanics (76-XX)
10 Convex and discrete geometry (52-XX)
9 Integral transforms, operational calculus (44-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Functional analysis (46-XX)
6 Dynamical systems and ergodic theory (37-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Quantum theory (81-XX)
5 Geometry (51-XX)
5 Probability theory and stochastic processes (60-XX)
5 Mechanics of particles and systems (70-XX)
5 Biology and other natural sciences (92-XX)
4 Mathematical logic and foundations (03-XX)
4 Group theory and generalizations (20-XX)
4 Ordinary differential equations (34-XX)
3 Associative rings and algebras (16-XX)
3 Topological groups, Lie groups (22-XX)
3 Special functions (33-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Manifolds and cell complexes (57-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 General and overarching topics; collections (00-XX)
2 General topology (54-XX)
2 Relativity and gravitational theory (83-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Nonassociative rings and algebras (17-XX)
1 Measure and integration (28-XX)
1 Difference and functional equations (39-XX)
1 Algebraic topology (55-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Geophysics (86-XX)
1 Mathematics education (97-XX)

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