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Author ID: mourrain.bernard Recent zbMATH articles by "Mourrain, Bernard"
Published as: Mourrain, Bernard; Mourrain, B.
all top 5

Co-Authors

14 single-authored
12 Trébuchet, Philippe
11 Xu, Gang
9 Elkadi, Mohamed
9 Galligo, André
9 Pan, Victor Yakovlevich
8 Tsigaridas, Elias P.
7 Busé, Laurent
7 Khalil, Houssam
7 Mantzaflaris, Angelos
6 Comon, Pierre
5 Bernardi, Alessandra
5 Brachat, Jerome
5 Emiris, Ioannis Z.
5 Ruatta, Olivier
5 Szántó, Ágnes
5 Técourt, Jean-Pierre
5 Villamizar, Nelly
4 Alberti, Lionel F.
4 Nkonga, Boniface
4 Vrahatis, Michael N.
4 Wang, Wenping
4 Wintz, Julien
4 Wu, Meng
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 Adamou, Ibrahim
2 Blidia, Ahmed
2 Bondyfalat, Didier
2 Bonnecaze, Alexis
2 Chèze, Guillaume
2 Choi, Yi-King
2 Fronville, Alexandra
2 Harmouch, Jouhayna
2 Khouja, Rima
2 Lasserre, Jean-Bernard
2 Laurent, Monique
2 Pavlidis, Nicos G.
2 Rónyai, Lajos
2 Rouillier, Fabrice
2 Stolfi, Noëlle
2 Tasoulis, Dimitris K.
2 Telen, Simon
2 Van Barel, Marc
2 van der Hoeven, Joris
2 Xu, Jinlan
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-Freirech, Itnuit
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
...and 38 more Co-Authors
all top 5

Serials

20 Journal of Symbolic Computation
10 Computer Aided Geometric Design
8 Linear Algebra and its Applications
5 Theoretical Computer Science
4 Journal of Pure and Applied Algebra
3 Computer Methods in Applied Mechanics and Engineering
3 Journal of Computational Physics
3 Journal of Complexity
2 Mathematics of Computation
2 Journal of Computational and Applied Mathematics
2 SIAM Journal on Matrix Analysis and Applications
2 Computational Geometry
2 Advances in Computational Mathematics
2 Mathematics in Computer Science
2 ACM Communications in Computer Algebra
1 Computers & Mathematics with Applications
1 IEEE Transactions on Information Theory
1 Archiv der Mathematik
1 Calcolo
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Computing
1 Discrete & Computational Geometry
1 Computational Mechanics
1 Signal Processing
1 IEEE Transactions on Signal Processing
1 Differential Geometry and its Applications
1 Designs, Codes and Cryptography
1 Applicable Algebra in Engineering, Communication and Computing
1 Journal of Mathematical Imaging and Vision
1 Journal of Algebraic Combinatorics
1 Analele Universității din Timișoara. Seria Matematică-Informatică
1 Communications in Contemporary Mathematics
1 Foundations of Computational Mathematics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Lecture Notes in Computer Science
1 Mathématiques & Applications (Berlin)
1 Communications in Computational Physics
1 Confluentes Mathematici
1 Mathematics and Visualization

Publications by Year

Citations contained in zbMATH Open

124 Publications have been cited 1,403 times in 887 Documents Cited by Year
Symmetric tensors and symmetric tensor rank. Zbl 1181.15014
Comon, Pierre; Golub, Gene; Lim, Lek-Heng; Mourrain, Bernard
154
2008
Parameterization of computational domain in isogeometric analysis: methods and comparison. Zbl 1228.65232
Xu, Gang; Mourrain, Bernard; Duvigneau, Régis; Galligo, André
84
2011
Symmetric tensor decomposition. Zbl 1206.65141
Brachat, Jerome; Comon, Pierre; Mourrain, Bernard; Tsigaridas, Elias
76
2010
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
50
2013
Decomposition of quantics in sums of powers of linear forms. Zbl 0875.94079
Comon, P.; Mourrain, B.
47
1996
A new criterion for normal form algorithms. Zbl 0976.12005
Mourrain, B.
45
1999
Type II codes over \(\mathbb{Z}_4\). Zbl 0898.94009
Bonnecaze, Alexis; Solé, Patrick; Bachoc, Christine; Mourrain, Bernard
45
1997
Multivariate polynomials, duality, and structured matrices. Zbl 0963.68232
Mourrain, Bernard; Pan, Victor Y.
34
2000
Matrices in elimination theory. Zbl 0943.13005
Emiris, Ioannis Z.; Mourrain, Bernard
33
1999
Subdivision methods for solving polynomial equations. Zbl 1158.13010
Mourrain, B.; Pavone, J. P.
32
2009
Isolated points, duality and residues. Zbl 0896.13020
Mourrain, B.
32
1997
Generalized normal forms and polynomial system solving. Zbl 1360.68947
Mourrain, Bernard; Trebuchet, Philippe
28
2005
Introduction to the solution of polynomial systems. (Introduction à la résolution des systèmes polynomiaux.) Zbl 1127.13001
Elkadi, Mohamed; Mourrain, Bernard
22
2007
Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology. Zbl 1418.41010
Mourrain, Bernard; Vidunas, Raimundas; Villamizar, Nelly
22
2016
On the dimension of spline spaces on planar T-meshes. Zbl 1360.65052
Mourrain, Bernard
21
2014
Computing the isolated roots by matrix methods. Zbl 0934.68136
Mourrain, B.
20
1998
General tensor decomposition, moment matrices and applications. Zbl 1275.15017
Bernardi, A.; Brachat, J.; Comon, P.; Mourrain, B.
19
2013
Resultant-based methods for plane curves intersection problems. Zbl 1169.65316
Busé, Laurent; Khalil, Houssam; Mourrain, Bernard
19
2005
A generalized flat extension theorem for moment matrices. Zbl 1183.30030
Laurent, Monique; Mourrain, Bernard
18
2009
Generalized resultants over unirational algebraic varieties. Zbl 0983.14039
Busé, Laurent; Elkadi, Mohamed; Mourrain, Bernard
18
2000
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.
18
2002
High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods. Zbl 1311.65020
Xu, Gang; Mourrain, Bernard; Galligo, André; Rabczuk, Timon
18
2014
A comparison of different notions of ranks of symmetric tensors. Zbl 1298.15034
Bernardi, Alessandra; Brachat, Jérôme; Mourrain, Bernard
17
2014
The DMM bound: multivariate (aggregate) separation bounds. Zbl 1321.68528
Emiris, Ioannis Z.; Mourrain, Bernard; Tsigaridas, Elias P.
17
2010
On the computation of the topology of a non-reduced implicit space curve. Zbl 1238.14046
Daouda, Diatta Niang; Mourrain, Bernard; Ruatta, Olivier
16
2008
Real algebraic numbers: Complexity analysis and experimentation. Zbl 1165.65315
Emiris, Ioannis Z.; Mourrain, Bernard; Tsigaridas, Elias P.
15
2008
Topology and arrangement computation of semi-algebraic planar curves. Zbl 1172.14343
Alberti, L.; Mourrain, B.; Wintz, J.
14
2008
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.
14
2018
On the computation of an arrangement of quadrics in 3D. Zbl 1063.65018
Mourrain, Bernard; Técourt, Jean-Pierre; Teillaud, Monique
13
2005
\(G^1\)-smooth splines on quad meshes with 4-split macro-patch elements. Zbl 1366.65012
Blidia, Ahmed; Mourrain, Bernard; Villamizar, Nelly
13
2017
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
The Bernstein-basis and real root isolation. Zbl 1094.14051
Mourrain, Bernard; Rouillier, Fabrice; Roy, Marie-Françoise
13
2005
Stable normal forms for polynomial system solving. Zbl 1159.68045
Mourrain, Bernard; Trébuchet, Philippe
12
2008
Computing the topology of three-dimensional algebraic curves. Zbl 1077.14089
Gatellier, G.; Labrouzy, A.; Mourrain, B.; Técourt, J. P.
12
2005
Explicit factors of some iterated resultants and discriminants. Zbl 1200.13042
Busé, Laurent; Mourrain, Bernard
11
2009
Algebraic approach of residues and applications. Zbl 0857.13026
Cardinal, J. P.; Mourrain, B.
11
1996
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
Isotopic triangulation of a real algebraic surface. Zbl 1173.14344
Alberti, Lionel; Mourrain, Bernard; Técourt, Jean-Pierre
10
2009
Solving special polynomial systems by using structured matrices and algebraic residues. Zbl 0922.65044
Mourrain, Bernard; Pan, Victor Y.
10
1997
Tensor decomposition and homotopy continuation. Zbl 1377.65057
Bernardi, Alessandra; Daleo, Noah S.; Hauenstein, Jonathan D.; Mourrain, Bernard
9
2017
On continued fraction expansion of real roots of polynomial systems, complexity and condition numbers. Zbl 1243.12005
Mantzaflaris, Angelos; Mourrain, Bernard; Tsigaridas, Elias
9
2011
Polynomial-exponential decomposition from moments. Zbl 1427.14119
Mourrain, Bernard
9
2018
Resultant over the residual of a complete intersection. Zbl 1075.14525
Busé, L.; Elkadi, M.; Mourrain, B.
8
2001
Certifying isolated singular points and their multiplicity structure. Zbl 1345.68286
Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes
8
2015
Using projection operators in computer aided geometric design. Zbl 1036.14500
Busé, Laurent; Elkadi, Mohamed; Mourrain, Bernard
8
2003
Residue and implicitization problem for rational surfaces. Zbl 1058.14073
Elkadi, Mohamed; Mourrain, Bernard
7
2004
Subdivision methods for the topology of 2d and 3d implicit curves. Zbl 1132.14335
Liang, Chen; Mourrain, Bernard; Pavone, Jean-Pascal
7
2008
An algebraic approach to continuous collision detection for ellipsoids. Zbl 1233.65020
Jia, Xiaohong; Choi, Yi-King; Mourrain, Bernard; Wang, Wenping
7
2011
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
Extensors and the Hilbert scheme. Zbl 1342.14008
Brachat, Jérôme; Lella, Paolo; Mourrain, Bernard; Roggero, Margherita
6
2016
Homological techniques for the analysis of the dimension of triangular spline spaces. Zbl 1370.41020
Mourrain, Bernard; Villamizar, Nelly
6
2013
Using signature sequences to classify intersection curves of two quadrics. Zbl 1205.68473
Tu, Changhe; Wang, Wenping; Mourrain, Bernard; Wang, Jiaye
6
2009
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
Relations between roots and coefficients, interpolation and application to system solving. Zbl 1022.13007
Mourrain, Bernard; Ruatta, Olivier
6
2002
Asymptotic acceleration of solving multivariate polynomial systems of equations. Zbl 1028.68216
Mourrain, Bernard; Pan, Victor Y.
6
1998
Meshing implicit algebraic surfaces: the smooth case. Zbl 1080.65514
Alberti, L.; Comte, G.; Mourrain, B.
6
2005
Enumeration problems in geometry, robotics and vision. Zbl 0915.14031
Mourrain, B.
6
1996
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
6
2007
Multihomogeneous polynomial decomposition using moment matrices. Zbl 1323.15017
Bernardi, Alessandra; Brachat, Jérôme; Comon, Pierre; Mourrain, Bernard
6
2011
Curve/surface intersection problem by means of matrix representations. Zbl 1356.65060
Thang, Luu Ba; Busé, Laurent; Mourrain, Bernard
6
2009
On deflation and multiplicity structure. Zbl 1387.13063
Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes
5
2017
A subdivision method for computing nearest gcd with certification. Zbl 1221.68297
Chèze, Guillaume; Galligo, André; Mourrain, Bernard; Yakoubsohn, Jean-Claude
5
2011
Algebraic methods and arithmetic filtering for exact predicates on circle arcs. Zbl 1016.68142
Devillers, Olivier; Fronville, Alexandra; Mourrain, Bernard; Teillaud, Monique
5
2002
Circular cylinders through four or five points in space. Zbl 1031.52008
Devillers, Olivier; Mourrain, Bernard; Preparata, Franco P.; Trebuchet, Philippe
5
2003
Solving polynomial systems via truncated normal forms. Zbl 1401.65054
Telen, Simon; Mourrain, Bernard; Barel, Marc Van
5
2018
Bezoutian and quotient ring structure. Zbl 1120.13035
Mourrain, B.
4
2005
Regularity criteria for the topology of algebraic curves and surfaces. Zbl 1163.68342
Alberti, Lionel; Mourrain, Bernard
4
2007
Controlled iterative methods for solving polynomial systems. Zbl 0924.65043
Bondyfalat, Didier; Mourrain, Bernard; Pan, Victor Y.
4
1998
The 40 “generic” positions of a parallel robot. Zbl 0925.70047
Mourrain, B.
4
1993
Rankin-Cohen brackets and invariant theory. Zbl 1039.11024
Choie, Y.; Mourrain, B.; Solé, P.
4
2001
An introduction to linear algebra methods for solving polynomial equations. Zbl 0944.65054
Mourrain, B.
4
1998
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
Geometrically smooth spline bases for data fitting and simulation. Zbl 1472.65015
Blidia, Ahmed; Mourrain, Bernard; Xu, Gang
4
2020
Interpolatory Catmull-Clark volumetric subdivision over unstructured hexahedral meshes for modeling and simulation applications. Zbl 07207278
Xie, Jin; Xu, Jinlan; Dong, Zhenyu; Xu, Gang; Deng, Chongyang; Mourrain, Bernard; Zhang, Yongjie Jessica
4
2020
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
Applications of Clifford algebras in robotics. Zbl 0900.70070
Mourrain, B.; Stolfi, N.
3
1995
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
Bisectors and Voronoï diagram of a family of parallel half-lines. Zbl 1331.65033
Adamou, I.; Fioravanti, M.; Gonzalez-Vega, L.; Mourrain, B.
3
2014
Accelerated solution of multivariate polynomial systems of equations. Zbl 1030.65051
Mourrain, B.; Pan, V. Y.; Ruatta, O.
3
2003
Flat extensions in \(\ast\)-algebras. Zbl 1364.46047
Mourrain, Bernard; Schmüdgen, Konrad
3
2016
Computing nearest gcd with certification. Zbl 1356.68273
Chèze, Guillaume; Yakoubsohn, Jean-Claude; Galligo, André; Mourrain, Bernard
3
2009
Structured low rank decomposition of multivariate Hankel matrices. Zbl 1417.15044
Harmouch, J.; Khalil, H.; Mourrain, B.
3
2018
Exact conversion from Bézier tetrahedra to Bézier hexahedra. Zbl 06892785
Xu, Gang; Jin, Yaoli; Xiao, Zhoufang; Wu, Qing; Mourrain, Bernard; Rabczuk, Timon
3
2018
Symbolic-numeric methods for solving polynomial equations and applications. Zbl 1152.68701
Elkadi, Mohamed; Mourrain, Bernard
2
2005
Some algebra with formal matrices. Zbl 0736.16014
Mourrain, Bernard
2
1991
Multidimensional structured matrices and polynomial systems. Zbl 0904.65050
Mourrain, Bernard; Pan, Victor Y.
2
1996
Jacobi polynomials, type II codes, and designs. Zbl 1049.94018
Bonnecaze, Alexis; Mourrain, Bernard; Solé, Patrick
2
1999
Algebraic issues in computational geometry. Zbl 1116.65029
Mourrain, Bernard; Pion, Sylvain; Schmitt, Susanne; Técourt, Jean-Pierre; Tsigaridas, Elias; Wolpert, Nocola
2
2007
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
Riemannian Newton optimization methods for the symmetric tensor approximation problem. Zbl 1481.15028
Khouja, Rima; Khalil, Houssam; Mourrain, Bernard
1
2022
Skew-symmetric tensor decomposition. Zbl 1458.15044
Arrondo, Enrique; Bernardi, Alessandra; Marques, Pedro Macias; Mourrain, Bernard
2
2021
Truncated normal forms for solving polynomial systems: generalized and efficient algorithms. Zbl 1443.13024
Mourrain, Bernard; Telen, Simon; Van Barel, Marc
1
2021
Geometrically smooth spline bases for data fitting and simulation. Zbl 1472.65015
Blidia, Ahmed; Mourrain, Bernard; Xu, Gang
4
2020
Interpolatory Catmull-Clark volumetric subdivision over unstructured hexahedral meshes for modeling and simulation applications. Zbl 07207278
Xie, Jin; Xu, Jinlan; Dong, Zhenyu; Xu, Gang; Deng, Chongyang; Mourrain, Bernard; Zhang, Yongjie Jessica
4
2020
Separation bounds for polynomial systems. Zbl 1446.68202
Emiris, Ioannis; Mourrain, Bernard; Tsigaridas, Elias
2
2020
Computing minimal Gorenstein covers. Zbl 1452.13032
Elias, Juan; Homs, Roser; Mourrain, Bernard
1
2020
On minimal decompositions of low rank symmetric tensors. Zbl 1460.13049
Mourrain, Bernard; Oneto, Alessandro
1
2020
Sparse polynomial interpolation: sparse recovery, super-resolution, or Prony? Zbl 1417.90112
Josz, Cédric; Lasserre, Jean Bernard; Mourrain, Bernard
2
2019
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.
14
2018
Polynomial-exponential decomposition from moments. Zbl 1427.14119
Mourrain, Bernard
9
2018
Solving polynomial systems via truncated normal forms. Zbl 1401.65054
Telen, Simon; Mourrain, Bernard; Barel, Marc Van
5
2018
Structured low rank decomposition of multivariate Hankel matrices. Zbl 1417.15044
Harmouch, J.; Khalil, H.; Mourrain, B.
3
2018
Exact conversion from Bézier tetrahedra to Bézier hexahedra. Zbl 06892785
Xu, Gang; Jin, Yaoli; Xiao, Zhoufang; Wu, Qing; Mourrain, Bernard; Rabczuk, Timon
3
2018
Axl, a geometric modeler for semi-algebraic shapes. Zbl 1396.65028
Christoforou, Emmanouil; Mantzaflaris, Angelos; Mourrain, Bernard; Wintz, Julien
1
2018
\(G^1\)-smooth splines on quad meshes with 4-split macro-patch elements. Zbl 1366.65012
Blidia, Ahmed; Mourrain, Bernard; Villamizar, Nelly
13
2017
Tensor decomposition and homotopy continuation. Zbl 1377.65057
Bernardi, Alessandra; Daleo, Noah S.; Hauenstein, Jonathan D.; Mourrain, Bernard
9
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
Fast algorithm for border bases of Artinian Gorenstein algebras. Zbl 1458.13036
Mourrain, Bernard
2
2017
Hermite type spline spaces over rectangular meshes with complex topological structures. Zbl 07413973
Wu, Meng; Mourrain, Bernard; Galligo, André; Nkonga, Boniface
1
2017
\(H^1\)-parametrizations of complex planar physical domains in isogeometric analysis. Zbl 1439.65198
Wu, Meng; Mourrain, Bernard; Galligo, André; Nkonga, Boniface
1
2017
Decomposition of low rank multi-symmetric tensor. Zbl 07036042
Harmouch, Jouhayna; Mourrain, Bernard; Khalil, Houssam
1
2017
Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology. Zbl 1418.41010
Mourrain, Bernard; Vidunas, Raimundas; Villamizar, Nelly
22
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
3
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
21
2014
High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods. Zbl 1311.65020
Xu, Gang; Mourrain, Bernard; Galligo, André; Rabczuk, Timon
18
2014
A comparison of different notions of ranks of symmetric tensors. Zbl 1298.15034
Bernardi, Alessandra; Brachat, Jérôme; Mourrain, Bernard
17
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
Bisectors and Voronoï diagram of a family of parallel half-lines. Zbl 1331.65033
Adamou, I.; Fioravanti, M.; Gonzalez-Vega, L.; Mourrain, B.
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
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
50
2013
General tensor decomposition, moment matrices and applications. Zbl 1275.15017
Bernardi, A.; Brachat, J.; Comon, P.; Mourrain, B.
19
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
84
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
9
2011
An algebraic approach to continuous collision detection for ellipsoids. Zbl 1233.65020
Jia, Xiaohong; Choi, Yi-King; Mourrain, Bernard; Wang, Wenping
7
2011
Multihomogeneous polynomial decomposition using moment matrices. Zbl 1323.15017
Bernardi, Alessandra; Brachat, Jérôme; Comon, Pierre; Mourrain, Bernard
6
2011
A subdivision method for computing nearest gcd with certification. Zbl 1221.68297
Chèze, Guillaume; Galligo, André; Mourrain, Bernard; Yakoubsohn, Jean-Claude
5
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
76
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.
32
2009
A generalized flat extension theorem for moment matrices. Zbl 1183.30030
Laurent, Monique; Mourrain, Bernard
18
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
6
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
154
2008
On the computation of the topology of a non-reduced implicit space curve. Zbl 1238.14046
Daouda, Diatta Niang; Mourrain, Bernard; Ruatta, Olivier
16
2008
Real algebraic numbers: Complexity analysis and experimentation. Zbl 1165.65315
Emiris, Ioannis Z.; Mourrain, Bernard; Tsigaridas, Elias P.
15
2008
Topology and arrangement computation of semi-algebraic planar curves. Zbl 1172.14343
Alberti, L.; Mourrain, B.; Wintz, J.
14
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
7
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
22
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
6
2007
Regularity criteria for the topology of algebraic curves and surfaces. Zbl 1163.68342
Alberti, Lionel; Mourrain, Bernard
4
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
28
2005
Resultant-based methods for plane curves intersection problems. Zbl 1169.65316
Busé, Laurent; Khalil, Houssam; Mourrain, Bernard
19
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.
6
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
7
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.
18
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
...and 24 more Documents
all top 5

Cited by 1,184 Authors

65 Mourrain, Bernard
26 Ballico, Edoardo
22 Bernardi, Alessandra
19 Tsigaridas, Elias P.
17 Xu, Gang
16 Harada, Masaaki
16 Jüttler, Bert
15 Busé, Laurent
15 Pan, Victor Yakovlevich
12 Cheng, Jinsan
11 Comon, Pierre
11 Deng, Jiansong
11 Emiris, Ioannis Z.
11 Kapl, Mario
10 Sagraloff, Michael
10 Solé, Patrick
9 Galligo, André
9 Hauenstein, Jonathan D.
9 Qi, Liqun
8 Alcazar, Juan Gerardo
8 Chen, Falai
8 Faugère, Jean-Charles
8 Nie, Jiawang
8 Speleers, Hendrik
8 Szántó, Ágnes
7 Bordas, Stéphane Pierre Alain
7 D’Andrea, Carlos
7 De Lathauwer, Lieven
7 Gonzalez-Vega, Laureano
7 Kreuzer, Martin
7 Mantzaflaris, Angelos
7 Oneto, Alessandro
7 Sangalli, Giancarlo
7 Takacs, Thomas
7 Teitler, Zach
7 Zhi, Lihong
7 Zhu, Chungang
6 Bracco, Cesare
6 Chiantini, Luca
6 Deng, Fang
6 Díaz-Toca, Gema María
6 Elkadi, Mohamed
6 Hughes, Thomas J. R.
6 Lasserre, Jean-Bernard
6 Manni, Carla
6 Minimair, Manfred
6 Ottaviani, Giorgio Maria
6 Rabczuk, Timon
6 Roggero, Margherita
6 Schost, Éric
6 Toshniwal, Deepesh
6 Usevich, Konstantin
6 Vitrih, Vito
6 Wang, Yiju
6 Wu, Meng
5 Caravantes, Jorge
5 Carlini, Enrico
5 Chu, Moody T.
5 Dougherty, Steven T.
5 Fan, Jinyan
5 Gao, Xiaoshan
5 Jeronimo, Gabriela
5 Ji, Ye
5 Jin, Kai
5 Lazard, Sylvain
5 Massarenti, Alex
5 Rouillier, Fabrice
5 Safey El Din, Mohab
5 Schicho, Josef
5 Scott, Michael A.
5 Ventura, Emanuele
5 Villamizar, Nelly
5 Vrahatis, Michael N.
5 Wu, Wenyuan
5 Xu, Changqing
5 Xu, Jinlan
5 Zeng, Chao
5 Zhou, Anwa
4 Berthomieu, Jérémy
4 Bertone, Cristina
4 Bouzidi, Yacine
4 Buczyński, Jarosław
4 Chen, Long
4 Cioffi, Francesca
4 Dipasquale, Michael R.
4 Duvigneau, Régis
4 Feng, Yong
4 Gaborit, Philippe
4 Giannelli, Carlotta
4 Goldman, Ronald N.
4 Hu, ShengLong
4 Jia, Xiaohong
4 Johannessen, Kjetil André
4 Kleiss, Stefan K.
4 Kvamsdal, Trond
4 Landsberg, Joseph Montague
4 Laurent, Monique
4 Lazard, Daniel
4 Lewis, Robert H.
4 Leykin, Anton
...and 1,084 more Authors
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Cited in 194 Serials

117 Journal of Symbolic Computation
62 Computer Aided Geometric Design
54 Computer Methods in Applied Mechanics and Engineering
41 Linear Algebra and its Applications
28 Journal of Computational and Applied Mathematics
27 Theoretical Computer Science
19 SIAM Journal on Matrix Analysis and Applications
17 Journal of Pure and Applied Algebra
16 Computers & Mathematics with Applications
14 Journal of Complexity
13 Applied Mathematics and Computation
13 Mathematics in Computer Science
12 Linear and Multilinear Algebra
12 Mathematics of Computation
11 Computational Geometry
11 Foundations of Computational Mathematics
10 Applicable Algebra in Engineering, Communication and Computing
10 Finite Fields and their Applications
10 SIAM Journal on Applied Algebra and Geometry
9 Journal of Computational Physics
9 Collectanea Mathematica
9 Journal of Algebra
8 SIAM Journal on Scientific Computing
8 Frontiers of Mathematics in China
7 Mathematics and Computers in Simulation
7 Mathematical Programming. Series A. Series B
7 Advances in Computational Mathematics
7 Journal of Systems Science and Complexity
6 Discrete Mathematics
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Discrete & Computational Geometry
6 Numerical Algorithms
6 Science China. Mathematics
5 Journal of Mathematical Analysis and Applications
5 Advances in Mathematics
5 Transactions of the American Mathematical Society
5 Advances in Applied Mathematics
5 Computational Optimization and Applications
5 Journal of Algebra and its Applications
4 Calcolo
4 Journal of Combinatorial Theory. Series A
4 Numerische Mathematik
4 Computational Mechanics
4 International Journal of Computational Geometry & Applications
4 Numerical Linear Algebra with Applications
4 Asian-European Journal of Mathematics
4 Mathematics
3 Journal of Mathematical Physics
3 Mathematische Zeitschrift
3 European Journal of Combinatorics
3 Journal of Scientific Computing
3 Journal of Global Optimization
3 Journal of Algebraic Combinatorics
3 Applied Mathematics. Series B (English Edition)
3 Annals of Mathematics and Artificial Intelligence
3 Mediterranean Journal of Mathematics
3 Advances in Mathematics of Communications
3 Bollettino dell’Unione Matematica Italiana
3 SMAI Journal of Computational Mathematics
2 Communications in Algebra
2 International Journal of Control
2 Journal of the Franklin Institute
2 Letters in Mathematical Physics
2 Acta Mathematica Vietnamica
2 Archiv der Mathematik
2 Journal of Geometry
2 Journal of Multivariate Analysis
2 Mathematische Annalen
2 Numerical Functional Analysis and Optimization
2 Proceedings of the American Mathematical Society
2 Bulletin of the Korean Mathematical Society
2 Graphs and Combinatorics
2 Applied Mathematics Letters
2 SIAM Journal on Discrete Mathematics
2 Signal Processing
2 Japan Journal of Industrial and Applied Mathematics
2 International Journal of Algebra and Computation
2 Designs, Codes and Cryptography
2 International Journal of Computer Mathematics
2 SIAM Journal on Optimization
2 Computational Complexity
2 Experimental Mathematics
2 Journal de Théorie des Nombres de Bordeaux
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
1 Applicable Analysis
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 Duke Mathematical Journal
...and 94 more Serials
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Cited in 55 Fields

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

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