Marsala, Michelangelo; Mantzaflaris, Angelos; Mourrain, Bernard \(G^1\) spline functions for point cloud fitting. (English) Zbl 07748298 Appl. Math. Comput. 460, Article ID 128279, 20 p. (2024). MSC: 65Dxx 68Uxx 41Axx PDFBibTeX XMLCite \textit{M. Marsala} et al., Appl. Math. Comput. 460, Article ID 128279, 20 p. (2024; Zbl 07748298) Full Text: DOI
Krick, Teresa; Mourrain, Bernard; Szanto, Agnes Univariate rational sums of squares. (English) Zbl 07791791 Rev. Unión Mat. Argent. 64, No. 2, 215-237 (2023). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 14Q30 68W30 14P10 12D15 PDFBibTeX XMLCite \textit{T. Krick} et al., Rev. Unión Mat. Argent. 64, No. 2, 215--237 (2023; Zbl 07791791) Full Text: DOI arXiv
Baldi, Lorenzo; Mourrain, Bernard On the effective Putinar’s Positivstellensatz and moment approximation. (English) Zbl 1518.14080 Math. Program. 200, No. 1 (A), 71-103 (2023). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 14P10 13J30 90C23 44A60 41A10 PDFBibTeX XMLCite \textit{L. Baldi} and \textit{B. Mourrain}, Math. Program. 200, No. 1 (A), 71--103 (2023; Zbl 1518.14080) Full Text: DOI arXiv
Mantzaflaris, Angelos; Mourrain, Bernard; Szanto, Agnes A certified iterative method for isolated singular roots. (English) Zbl 1514.13029 J. Symb. Comput. 115, 223-247 (2023). Reviewer: Nelly Villamizar (Swansea) MSC: 13P15 65H10 68W01 PDFBibTeX XMLCite \textit{A. Mantzaflaris} et al., J. Symb. Comput. 115, 223--247 (2023; Zbl 1514.13029) Full Text: DOI
Mantzaflaris, Angelos; Mourrain, Bernard; Villamizar, Nelly; Yuan, Beihui An algebraic framework for geometrically continuous splines. arXiv:2305.09096 Preprint, arXiv:2305.09096 [math.NA] (2023). MSC: 41A15 13D02 65D07 BibTeX Cite \textit{A. Mantzaflaris} et al., ``An algebraic framework for geometrically continuous splines'', Preprint, arXiv:2305.09096 [math.NA] (2023) Full Text: arXiv OA License
Marsala, Michelangelo; Mantzaflaris, Angelos; Mourrain, Bernard \(G^1\)-smooth biquintic approximation of Catmull-Clark subdivision surfaces. (English) Zbl 1527.65017 Comput. Aided Geom. Des. 99, Article ID 102158, 19 p. (2022). MSC: 65D17 65D18 PDFBibTeX XMLCite \textit{M. Marsala} et al., Comput. Aided Geom. Des. 99, Article ID 102158, 19 p. (2022; Zbl 1527.65017) Full Text: DOI
Khouja, Rima; Mourrain, Bernard; Yakoubsohn, Jean-Claude Newton-type methods for simultaneous matrix diagonalization. (English) Zbl 1502.65015 Calcolo 59, No. 4, Paper No. 38, 31 p. (2022). MSC: 65F15 65H10 15A18 65-04 PDFBibTeX XMLCite \textit{R. Khouja} et al., Calcolo 59, No. 4, Paper No. 38, 31 p. (2022; Zbl 1502.65015) Full Text: DOI arXiv
Dickenstein, Alicia; Herrero, María Isabel; Mourrain, Bernard Curve valuations and mixed volumes in the implicitization of rational varieties. (English) Zbl 1502.14124 J. Algebra 612, 691-721 (2022). Reviewer: Rick Rischter (Itajubá) MSC: 14M25 14T15 68W30 PDFBibTeX XMLCite \textit{A. Dickenstein} et al., J. Algebra 612, 691--721 (2022; Zbl 1502.14124) Full Text: DOI arXiv
Wu, Meng; Wang, Xuhui; Nkonga, Boniface; Mourrain, Bernard; Xu, Gang; Ni, Qian; Liu, Yuan Flux-aligned quad mesh generation in magnetohydrodynamic simulation. (English) Zbl 07561070 J. Comput. Phys. 466, Article ID 111393, 17 p. (2022). MSC: 35Jxx 65Nxx 34Axx PDFBibTeX XMLCite \textit{M. Wu} et al., J. Comput. Phys. 466, Article ID 111393, 17 p. (2022; Zbl 07561070) Full Text: DOI
Khouja, Rima; Mattei, Pierre-Alexandre; Mourrain, Bernard Tensor decomposition for learning Gaussian mixtures from moments. (English) Zbl 1492.14094 J. Symb. Comput. 113, 193-210 (2022). Reviewer: Luca Chiantini (Siena) MSC: 14N07 62H30 PDFBibTeX XMLCite \textit{R. Khouja} et al., J. Symb. Comput. 113, 193--210 (2022; Zbl 1492.14094) Full Text: DOI arXiv
Khouja, Rima; Khalil, Houssam; Mourrain, Bernard Riemannian Newton optimization methods for the symmetric tensor approximation problem. (English) Zbl 1481.15028 Linear Algebra Appl. 637, 175-211 (2022). MSC: 15A69 15A18 53B20 53B21 14P10 65K10 65Y20 PDFBibTeX XMLCite \textit{R. Khouja} et al., Linear Algebra Appl. 637, 175--211 (2022; Zbl 1481.15028) Full Text: DOI arXiv
Baldi, Lorenzo; Mourrain, Bernard; Parusinski, Adam On Łojasiewicz Inequalities and the Effective Putinar’s Positivstellensatz. arXiv:2212.09551 Preprint, arXiv:2212.09551 [math.AC] (2022). BibTeX Cite \textit{L. Baldi} et al., ``On {\L}ojasiewicz Inequalities and the Effective Putinar's Positivstellensatz'', Preprint, arXiv:2212.09551 [math.AC] (2022) Full Text: arXiv OA License
Adamou, Ibrahim; Mourrain, Bernard Computing the topology of Voronoï diagrams of parallel half-lines. (English) Zbl 07465806 Math. Comput. Sci. 15, No. 4, 859-876 (2021). MSC: 65D17 65D18 PDFBibTeX XMLCite \textit{I. Adamou} and \textit{B. Mourrain}, Math. Comput. Sci. 15, No. 4, 859--876 (2021; Zbl 07465806) Full Text: DOI HAL
Toshniwal, Deepesh; Mourrain, Bernard; Hughes, Thomas J. R. Polynomial spline spaces of non-uniform bi-degree on T-meshes: combinatorial bounds on the dimension. (English) Zbl 1473.13026 Adv. Comput. Math. 47, No. 1, Paper No. 16, 42 p. (2021). Reviewer: Nelly Villamizar (Swansea) MSC: 13P25 14Q65 65D07 PDFBibTeX XMLCite \textit{D. Toshniwal} et al., Adv. Comput. Math. 47, No. 1, Paper No. 16, 42 p. (2021; Zbl 1473.13026) Full Text: DOI arXiv
Arrondo, Enrique; Bernardi, Alessandra; Marques, Pedro Macias; Mourrain, Bernard Skew-symmetric tensor decomposition. (English) Zbl 1458.15044 Commun. Contemp. Math. 23, No. 2, Article ID 1950061, 29 p. (2021). Reviewer: Tin Yau Tam (Reno) MSC: 15A69 15A75 15A23 14M15 16W22 16Z05 PDFBibTeX XMLCite \textit{E. Arrondo} et al., Commun. Contemp. Math. 23, No. 2, Article ID 1950061, 29 p. (2021; Zbl 1458.15044) Full Text: DOI arXiv
Mourrain, Bernard; Telen, Simon; Van Barel, Marc Truncated normal forms for solving polynomial systems: generalized and efficient algorithms. (English) Zbl 1443.13024 J. Symb. Comput. 102, 63-85 (2021). MSC: 13P15 14Q65 65H14 68W30 PDFBibTeX XMLCite \textit{B. Mourrain} et al., J. Symb. Comput. 102, 63--85 (2021; Zbl 1443.13024) Full Text: DOI arXiv
Baldi, Lorenzo; Mourrain, Bernard Computing real radicals by moment optimization. arXiv:2102.09367 Preprint, arXiv:2102.09367 [math.AC] (2021). BibTeX Cite \textit{L. Baldi} and \textit{B. Mourrain}, ``Computing real radicals by moment optimization'', Preprint, arXiv:2102.09367 [math.AC] (2021) Full Text: DOI arXiv OA License
Mourrain, Bernard; Oneto, Alessandro On minimal decompositions of low rank symmetric tensors. (English) Zbl 1460.13049 Linear Algebra Appl. 607, 347-377 (2020). Reviewer: Nathan Grieve (Ottawa) MSC: 13P05 14N07 13F20 14N05 PDFBibTeX XMLCite \textit{B. Mourrain} and \textit{A. Oneto}, Linear Algebra Appl. 607, 347--377 (2020; Zbl 1460.13049) Full Text: DOI arXiv
Mantzaflaris, Angelos; Mourrain, Bernard; Szanto, Agnes Punctual Hilbert scheme and certified approximate singularities. (English) Zbl 07300089 Mantzaflaris, Angelos (ed.), Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC ’20, Kalamata, Greece, July 20–23, 2020. New York, NY: Association for Computing Machinery (ACM). 336-343 (2020). MSC: 68W30 PDFBibTeX XMLCite \textit{A. Mantzaflaris} et al., in: Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC '20, Kalamata, Greece, July 20--23, 2020. New York, NY: Association for Computing Machinery (ACM). 336--343 (2020; Zbl 07300089) Full Text: DOI arXiv
Emiris, Ioannis; Mourrain, Bernard; Tsigaridas, Elias Separation bounds for polynomial systems. (English) Zbl 1446.68202 J. Symb. Comput. 101, 128-151 (2020). MSC: 68W30 12D10 13P15 65H04 68Q25 PDFBibTeX XMLCite \textit{I. Emiris} et al., J. Symb. Comput. 101, 128--151 (2020; Zbl 1446.68202) Full Text: DOI HAL
Xie, Jin; Xu, Jinlan; Dong, Zhenyu; Xu, Gang; Deng, Chongyang; Mourrain, Bernard; Zhang, Yongjie Jessica Interpolatory Catmull-Clark volumetric subdivision over unstructured hexahedral meshes for modeling and simulation applications. (English) Zbl 1505.65105 Comput. Aided Geom. Des. 80, Article ID 101867, 15 p. (2020). MSC: 65D17 65D07 PDFBibTeX XMLCite \textit{J. Xie} et al., Comput. Aided Geom. Des. 80, Article ID 101867, 15 p. (2020; Zbl 1505.65105) Full Text: DOI HAL
Blidia, Ahmed; Mourrain, Bernard; Xu, Gang Geometrically smooth spline bases for data fitting and simulation. (English) Zbl 1472.65015 Comput. Aided Geom. Des. 78, Article ID 101814, 15 p. (2020). Reviewer: Nelly Villamizar (Swansea) MSC: 65D07 65D15 65D17 PDFBibTeX XMLCite \textit{A. Blidia} et al., Comput. Aided Geom. Des. 78, Article ID 101814, 15 p. (2020; Zbl 1472.65015) Full Text: DOI HAL
Elias, Juan; Homs, Roser; Mourrain, Bernard Computing minimal Gorenstein covers. (English) Zbl 1452.13032 J. Pure Appl. Algebra 224, No. 7, Article ID 106280, 27 p. (2020). Reviewer: Andrew Kustin (Columbia) MSC: 13H10 13H15 13E10 13C14 13P99 PDFBibTeX XMLCite \textit{J. Elias} et al., J. Pure Appl. Algebra 224, No. 7, Article ID 106280, 27 p. (2020; Zbl 1452.13032) Full Text: DOI arXiv
Baldi, Lorenzo; Mourrain, Bernard Exact Moment Representation in Polynomial Optimization. arXiv:2012.14652 Preprint, arXiv:2012.14652 [math.AC] (2020). BibTeX Cite \textit{L. Baldi} and \textit{B. Mourrain}, ``Exact Moment Representation in Polynomial Optimization'', Preprint, arXiv:2012.14652 [math.AC] (2020) Full Text: arXiv OA License
Zhao, Mingyang; Jia, Xiaohong; Tu, Changhe; Mourrain, Bernard; Wang, Wenping Enumerating the morphologies of non-degenerate Darboux cyclides. (English) Zbl 1505.65111 Comput. Aided Geom. Des. 75, Article ID 101776, 15 p. (2019). MSC: 65D17 14Q05 PDFBibTeX XMLCite \textit{M. Zhao} et al., Comput. Aided Geom. Des. 75, Article ID 101776, 15 p. (2019; Zbl 1505.65111) Full Text: DOI HAL
Josz, Cédric; Lasserre, Jean Bernard; Mourrain, Bernard Sparse polynomial interpolation: sparse recovery, super-resolution, or Prony? (English) Zbl 1417.90112 Adv. Comput. Math. 45, No. 3, 1401-1437 (2019). MSC: 90C22 90C25 65K05 90-08 90C05 PDFBibTeX XMLCite \textit{C. Josz} et al., Adv. Comput. Math. 45, No. 3, 1401--1437 (2019; Zbl 1417.90112) Full Text: DOI arXiv
Markwig, Hannah (ed.); Mourrain, Bernard (ed.); Ottaviani, Giorgio (ed.) Foreword on the special issue of JSC on the occasion of MEGA 2017. (English) Zbl 1405.00056 J. Symb. Comput. 91, 1-2 (2019). MSC: 00B25 14-06 13-06 68-06 PDFBibTeX XMLCite \textit{H. Markwig} (ed.) et al., J. Symb. Comput. 91, 1--2 (2019; Zbl 1405.00056) Full Text: DOI HAL
Xu, Gang; Li, Ming; Mourrain, Bernard; Rabczuk, Timon; Xu, Jinlan; Bordas, Stéphane P. A. Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization. (English) Zbl 1439.65200 Comput. Methods Appl. Mech. Eng. 328, 175-200 (2018). MSC: 65N30 65D07 PDFBibTeX XMLCite \textit{G. Xu} et al., Comput. Methods Appl. Mech. Eng. 328, 175--200 (2018; Zbl 1439.65200) Full Text: DOI arXiv
Harmouch, J.; Khalil, H.; Mourrain, B. Structured low rank decomposition of multivariate Hankel matrices. (English) Zbl 1417.15044 Linear Algebra Appl. 542, 162-185 (2018). MSC: 15B05 14Q20 68W30 47B35 PDFBibTeX XMLCite \textit{J. Harmouch} et al., Linear Algebra Appl. 542, 162--185 (2018; Zbl 1417.15044) Full Text: DOI arXiv
Mourrain, Bernard Polynomial-exponential decomposition from moments. (English) Zbl 1427.14119 Found. Comput. Math. 18, No. 6, 1435-1492 (2018). Reviewer: Carlos D’Andrea (Barcelona) MSC: 14Q20 68W30 47B35 15B05 PDFBibTeX XMLCite \textit{B. Mourrain}, Found. Comput. Math. 18, No. 6, 1435--1492 (2018; Zbl 1427.14119) Full Text: DOI arXiv
Telen, Simon; Mourrain, Bernard; Barel, Marc Van Solving polynomial systems via truncated normal forms. (English) Zbl 1401.65054 SIAM J. Matrix Anal. Appl. 39, No. 3, 1421-1447 (2018). MSC: 65H10 65H04 14Q99 PDFBibTeX XMLCite \textit{S. Telen} et al., SIAM J. Matrix Anal. Appl. 39, No. 3, 1421--1447 (2018; Zbl 1401.65054) Full Text: DOI arXiv
Christoforou, Emmanouil; Mantzaflaris, Angelos; Mourrain, Bernard; Wintz, Julien Axl, a geometric modeler for semi-algebraic shapes. (English) Zbl 1396.65028 Davenport, James H. (ed.) et al., Mathematical software – ICMS 2018. 6th international conference, South Bend, IN, USA, July 24–27, 2018. Proceedings. Cham: Springer (ISBN 978-3-319-96417-1/pbk; 978-3-319-96418-8/ebook). Lecture Notes in Computer Science 10931, 128-136 (2018). MSC: 65D17 14Q05 14Q10 65Y15 PDFBibTeX XMLCite \textit{E. Christoforou} et al., Lect. Notes Comput. Sci. 10931, 128--136 (2018; Zbl 1396.65028) Full Text: DOI HAL
Xu, Gang; Jin, Yaoli; Xiao, Zhoufang; Wu, Qing; Mourrain, Bernard; Rabczuk, Timon Exact conversion from Bézier tetrahedra to Bézier hexahedra. (English) Zbl 1505.65106 Comput. Aided Geom. Des. 62, 154-165 (2018). MSC: 65D17 65D07 41A15 68U05 PDFBibTeX XMLCite \textit{G. Xu} et al., Comput. Aided Geom. Des. 62, 154--165 (2018; Zbl 1505.65106) Full Text: DOI HAL
Wu, Meng; Mourrain, Bernard; Galligo, André; Nkonga, Boniface Hermite type spline spaces over rectangular meshes with complex topological structures. (English) Zbl 1490.65018 Commun. Comput. Phys. 21, No. 3, 835-866 (2017). MSC: 65D07 41A15 76W05 82D10 PDFBibTeX XMLCite \textit{M. Wu} et al., Commun. Comput. Phys. 21, No. 3, 835--866 (2017; Zbl 1490.65018) Full Text: DOI
Mourrain, Bernard Fast algorithm for border bases of Artinian Gorenstein algebras. (English) Zbl 1458.13036 Burr, Michael (ed.), Proceedings of the 42nd international symposium on symbolic and algebraic computation, ISSAC 2017, Kaiserslautern, Germany, July 25–28, 2017. New York, NY: Association for Computing Machinery (ACM). 333-340 (2017). MSC: 13P10 13E10 68W30 PDFBibTeX XMLCite \textit{B. Mourrain}, in: Proceedings of the 42nd international symposium on symbolic and algebraic computation, ISSAC 2017, Kaiserslautern, Germany, July 25--28, 2017. New York, NY: Association for Computing Machinery (ACM). 333--340 (2017; Zbl 1458.13036) Full Text: DOI arXiv
Wu, Meng; Mourrain, Bernard; Galligo, André; Nkonga, Boniface \(H^1\)-parametrizations of complex planar physical domains in isogeometric analysis. (English) Zbl 1439.65198 Comput. Methods Appl. Mech. Eng. 318, 296-318 (2017). MSC: 65N30 65D07 PDFBibTeX XMLCite \textit{M. Wu} et al., Comput. Methods Appl. Mech. Eng. 318, 296--318 (2017; Zbl 1439.65198) Full Text: DOI
van der Hoeven, Joris; Mourrain, Bernard Efficient certification of numeric solutions to eigenproblems. (English) Zbl 1504.65112 Blömer, Johannes (ed.) et al., Mathematical aspects of computer and information sciences. 7th international conference, MACIS 2017, Vienna, Austria, November 15–17, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10693, 81-94 (2017). MSC: 65G30 PDFBibTeX XMLCite \textit{J. van der Hoeven} and \textit{B. Mourrain}, Lect. Notes Comput. Sci. 10693, 81--94 (2017; Zbl 1504.65112) Full Text: DOI HAL
Harmouch, Jouhayna; Mourrain, Bernard; Khalil, Houssam Decomposition of low rank multi-symmetric tensor. (English) Zbl 1507.15016 Blömer, Johannes (ed.) et al., Mathematical aspects of computer and information sciences. 7th international conference, MACIS 2017, Vienna, Austria, November 15–17, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10693, 51-66 (2017). MSC: 15A69 15A75 13E10 16P20 PDFBibTeX XMLCite \textit{J. Harmouch} et al., Lect. Notes Comput. Sci. 10693, 51--66 (2017; Zbl 1507.15016) Full Text: DOI HAL
Bernardi, Alessandra; Daleo, Noah S.; Hauenstein, Jonathan D.; Mourrain, Bernard Tensor decomposition and homotopy continuation. (English) Zbl 1377.65057 Differ. Geom. Appl. 55, 78-105 (2017). MSC: 65H10 14Q15 15A69 13P05 PDFBibTeX XMLCite \textit{A. Bernardi} et al., Differ. Geom. Appl. 55, 78--105 (2017; Zbl 1377.65057) Full Text: DOI arXiv
Wu, Meng; Wang, Yicao; Mourrain, Bernard; Nkonga, Boniface; Cheng, Changzheng Convergence rates for solving elliptic boundary value problems with singular parameterizations in isogeometric analysis. (English) Zbl 1366.65098 Comput. Aided Geom. Des. 52-53, 170-189 (2017). MSC: 65N12 65N30 35J25 65N15 PDFBibTeX XMLCite \textit{M. Wu} et al., Comput. Aided Geom. Des. 52--53, 170--189 (2017; Zbl 1366.65098) Full Text: DOI HAL
Blidia, Ahmed; Mourrain, Bernard; Villamizar, Nelly \(G^1\)-smooth splines on quad meshes with 4-split macro-patch elements. (English) Zbl 1366.65012 Comput. Aided Geom. Des. 52-53, 106-125 (2017). MSC: 65D07 65D17 13D02 PDFBibTeX XMLCite \textit{A. Blidia} et al., Comput. Aided Geom. Des. 52--53, 106--125 (2017; Zbl 1366.65012) Full Text: DOI arXiv
Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes On deflation and multiplicity structure. (English) Zbl 1387.13063 J. Symb. Comput. 83, 228-253 (2017). Reviewer: Amir Hashemi (Isfahan) MSC: 13P15 68W30 14Q20 65H04 PDFBibTeX XMLCite \textit{J. D. Hauenstein} et al., J. Symb. Comput. 83, 228--253 (2017; Zbl 1387.13063) Full Text: DOI arXiv
Mourrain, Bernard; Vidunas, Raimundas; Villamizar, Nelly Dimension and bases for geometrically continuous splines on surfaces of arbitrary topology. (English) Zbl 1418.41010 Comput. Aided Geom. Des. 45, 108-133 (2016). MSC: 41A15 65D07 PDFBibTeX XMLCite \textit{B. Mourrain} et al., Comput. Aided Geom. Des. 45, 108--133 (2016; Zbl 1418.41010) Full Text: DOI arXiv Link
Trébuchet, Philippe; Mourrain, Bernard; Bucero, Marta Abril Border basis for polynomial system solving and optimization. (English) Zbl 1434.68717 Greuel, Gert-Martin (ed.) et al., Mathematical software – ICMS 2016. 5th international conference, Berlin, Germany, July 11–14, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9725, 212-220 (2016). MSC: 68W30 13P10 65Y15 PDFBibTeX XMLCite \textit{P. Trébuchet} et al., Lect. Notes Comput. Sci. 9725, 212--220 (2016; Zbl 1434.68717) Full Text: DOI HAL
Mourrain, Bernard; Schmüdgen, Konrad Flat extensions in \(\ast\)-algebras. (English) Zbl 1364.46047 Proc. Am. Math. Soc. 144, No. 11, 4873-4885 (2016). MSC: 46K05 47A57 46L05 44A60 PDFBibTeX XMLCite \textit{B. Mourrain} and \textit{K. Schmüdgen}, Proc. Am. Math. Soc. 144, No. 11, 4873--4885 (2016; Zbl 1364.46047) Full Text: DOI arXiv
Brachat, Jérôme; Lella, Paolo; Mourrain, Bernard; Roggero, Margherita Extensors and the Hilbert scheme. (English) Zbl 1342.14008 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 16, No. 1, 65-96 (2016). Reviewer: Scott Nollet (Fort Worth) MSC: 14C05 15A75 PDFBibTeX XMLCite \textit{J. Brachat} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 16, No. 1, 65--96 (2016; Zbl 1342.14008) Full Text: DOI arXiv
Abril Bucero, Marta; Bajaj, Chandrajit; Mourrain, Bernard On the construction of general cubature formula by flat extensions. (English) Zbl 1386.65094 Linear Algebra Appl. 502, 104-125 (2016). MSC: 65D32 15B05 65D30 90C22 PDFBibTeX XMLCite \textit{M. Abril Bucero} et al., Linear Algebra Appl. 502, 104--125 (2016; Zbl 1386.65094) Full Text: DOI arXiv
Abril Bucero, Marta; Mourrain, Bernard Border basis relaxation for polynomial optimization. (English) Zbl 1346.90655 J. Symb. Comput. 74, 378-399 (2016). MSC: 90C22 13P10 PDFBibTeX XMLCite \textit{M. Abril Bucero} and \textit{B. Mourrain}, J. Symb. Comput. 74, 378--399 (2016; Zbl 1346.90655) Full Text: DOI arXiv
Jia, Xiaohong; Wang, Wenping; Choi, Yi-King; Mourrain, Bernard; Tu, Changhe Continuous detection of the variations of the intersection curve of two moving quadrics in 3-dimensional projective space. (English) Zbl 1336.68309 J. Symb. Comput. 73, 221-243 (2016). MSC: 68W30 14N05 14P05 14Q05 PDFBibTeX XMLCite \textit{X. Jia} et al., J. Symb. Comput. 73, 221--243 (2016; Zbl 1336.68309) Full Text: DOI
Hauenstein, Jonathan D.; Mourrain, Bernard; Szanto, Agnes Certifying isolated singular points and their multiplicity structure. (English) Zbl 1345.68286 Proceedings of the 40th international symposium on symbolic and algebraic computation, ISSAC 2015, Bath, UK, July 6–9, 2015. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-3435-8). 213-220 (2015). MSC: 68W30 12Y05 PDFBibTeX XMLCite \textit{J. D. Hauenstein} et al., in: Proceedings of the 40th international symposium on symbolic and algebraic computation, ISSAC 2015, Bath, UK, July 6--9, 2015. New York, NY: Association for Computing Machinery (ACM). 213--220 (2015; Zbl 1345.68286) Full Text: DOI arXiv
Xu, Gang; Mourrain, Bernard; Wu, Xiangyang; Chen, Long; Hui, Kin-chuen Efficient construction of multi-block volumetric spline parameterization by discrete mask method. (English) Zbl 1321.65028 J. Comput. Appl. Math. 290, 589-597 (2015). MSC: 65D17 PDFBibTeX XMLCite \textit{G. Xu} et al., J. Comput. Appl. Math. 290, 589--597 (2015; Zbl 1321.65028) Full Text: DOI
Xu, Gang; Mourrain, Bernard; Duvigneau, Régis; Galligo, André Corrigendum to “Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method”. (English) Zbl 1349.65080 J. Comput. Phys. 272, 865 (2014). MSC: 65D17 65N50 PDFBibTeX XMLCite \textit{G. Xu} et al., J. Comput. Phys. 272, 865 (2014; Zbl 1349.65080) Full Text: DOI
Adamou, I.; Fioravanti, M.; Gonzalez-Vega, L.; Mourrain, B. Bisectors and Voronoï diagram of a family of parallel half-lines. (English) Zbl 1331.65033 Dokken, Tor (ed.) et al., SAGA – Advances in ShApes, geometry, and algebra. Results from the Marie Curie initial training network, March 2008 – October 2012. Cham: Springer (ISBN 978-3-319-08634-7/hbk; 978-3-319-08635-4/ebook). Geometry and Computing 10, 241-279 (2014). MSC: 65D17 65D18 PDFBibTeX XMLCite \textit{I. Adamou} et al., Geom. Comput. 10, 241--279 (2014; Zbl 1331.65033) Full Text: DOI
Villamizar, Nelly; Mourrain, Bernard On the dimension of spline spaces on triangulations. (English) Zbl 1331.41010 Dokken, Tor (ed.) et al., SAGA – Advances in ShApes, geometry, and algebra. Results from the Marie Curie initial training network, March 2008 – October 2012. Cham: Springer (ISBN 978-3-319-08634-7/hbk; 978-3-319-08635-4/ebook). Geometry and Computing 10, 177-197 (2014). MSC: 41A15 68U07 PDFBibTeX XMLCite \textit{N. Villamizar} and \textit{B. Mourrain}, Geom. Comput. 10, 177--197 (2014; Zbl 1331.41010) Full Text: DOI
Mantzaflaris, Angelos; Mourrain, Bernard Singular zeros of polynomial systems. (English) Zbl 1331.65074 Dokken, Tor (ed.) et al., SAGA – Advances in ShApes, geometry, and algebra. Results from the Marie Curie initial training network, March 2008 – October 2012. Cham: Springer (ISBN 978-3-319-08634-7/hbk; 978-3-319-08635-4/ebook). Geometry and Computing 10, 77-103 (2014). MSC: 65H10 65H04 65G30 PDFBibTeX XMLCite \textit{A. Mantzaflaris} and \textit{B. Mourrain}, Geom. Comput. 10, 77--103 (2014; Zbl 1331.65074) Full Text: DOI
Mourrain, Bernard; Trébuchet, Philippe Toric border basis. (English) Zbl 1325.68296 Nabeshima, Katsusuke (ed.), Proceedings of the 39th international symposium on symbolic and algebraic computation, ISSAC 2014, Kobe, Japan, July 23–25, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2501-1). 343-350 (2014). MSC: 68W30 13P10 13P15 PDFBibTeX XMLCite \textit{B. Mourrain} and \textit{P. Trébuchet}, in: Proceedings of the 39th international symposium on symbolic and algebraic computation, ISSAC 2014, Kobe, Japan, July 23--25, 2014. New York, NY: Association for Computing Machinery (ACM). 343--350 (2014; Zbl 1325.68296) Full Text: DOI arXiv
Xu, Gang; Mourrain, Bernard; Galligo, André; Rabczuk, Timon High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods. (English) Zbl 1311.65020 Comput. Mech. 54, No. 5, 1303-1313 (2014). MSC: 65D17 PDFBibTeX XMLCite \textit{G. Xu} et al., Comput. Mech. 54, No. 5, 1303--1313 (2014; Zbl 1311.65020) Full Text: DOI HAL
Mourrain, Bernard; Villamizar, Nelly Bounds on the dimension of trivariate spline spaces: a homological approach. (English) Zbl 1317.13035 Math. Comput. Sci. 8, No. 2, 157-174 (2014). MSC: 13D02 41A15 57Q15 PDFBibTeX XMLCite \textit{B. Mourrain} and \textit{N. Villamizar}, Math. Comput. Sci. 8, No. 2, 157--174 (2014; Zbl 1317.13035) Full Text: DOI arXiv Link
Bernardi, Alessandra; Brachat, Jérôme; Mourrain, Bernard A comparison of different notions of ranks of symmetric tensors. (English) Zbl 1298.15034 Linear Algebra Appl. 460, 205-230 (2014). MSC: 15A69 PDFBibTeX XMLCite \textit{A. Bernardi} et al., Linear Algebra Appl. 460, 205--230 (2014; Zbl 1298.15034) Full Text: DOI arXiv
Berdinsky, Dmitry; Kim, Tae-wan; Bracco, Cesare; Cho, Durkbin; Mourrain, Bernard; Oh, Min-jae; Kiatpanichgij, Sutipong Dimensions and bases of hierarchical tensor-product splines. (English) Zbl 1292.65009 J. Comput. Appl. Math. 257, 86-104 (2014). MSC: 65D07 41A15 PDFBibTeX XMLCite \textit{D. Berdinsky} et al., J. Comput. Appl. Math. 257, 86--104 (2014; Zbl 1292.65009) Full Text: DOI arXiv
Mourrain, Bernard On the dimension of spline spaces on planar T-meshes. (English) Zbl 1360.65052 Math. Comput. 83, No. 286, 847-871 (2014). MSC: 65D07 41A15 PDFBibTeX XMLCite \textit{B. Mourrain}, Math. Comput. 83, No. 286, 847--871 (2014; Zbl 1360.65052) Full Text: DOI arXiv
Xu, Gang; Mourrain, Bernard; Duvigneau, Régis; Galligo, André Constructing analysis-suitable parameterization of computational domain from CAD boundary by variational harmonic method. (English) Zbl 1349.65079 J. Comput. Phys. 252, 275-289 (2013); corrigendum ibid. 274, 865 (2014). MSC: 65D17 65N50 PDFBibTeX XMLCite \textit{G. Xu} et al., J. Comput. Phys. 252, 275--289 (2013; Zbl 1349.65079) Full Text: DOI HAL
Khalil, Houssam; Mourrain, Bernard; Schatzman, Michelle Superfast solution of Toeplitz systems based on syzygy reduction. (English) Zbl 1267.65032 Linear Algebra Appl. 438, No. 9, 3563-3575 (2013). Reviewer: Constantin Popa (Constanţa) MSC: 65F05 13D02 PDFBibTeX XMLCite \textit{H. Khalil} et al., Linear Algebra Appl. 438, No. 9, 3563--3575 (2013; Zbl 1267.65032) Full Text: DOI arXiv
Bernardi, A.; Brachat, J.; Comon, P.; Mourrain, B. General tensor decomposition, moment matrices and applications. (English) Zbl 1275.15017 J. Symb. Comput. 52, 51-71 (2013). Reviewer: Wai-Shun Cheung (Hong Kong) MSC: 15A69 15A03 PDFBibTeX XMLCite \textit{A. Bernardi} et al., J. Symb. Comput. 52, 51--71 (2013; Zbl 1275.15017) Full Text: DOI arXiv
Lasserre, Jean-Bernard; Laurent, Monique; Mourrain, Bernard; Rostalski, Philipp; Trébuchet, Philippe Moment matrices, border bases and real radical computation. (English) Zbl 1276.13021 J. Symb. Comput. 51, 63-85 (2013). Reviewer: Chen Yuqun (Guangzhou) MSC: 13P10 16N80 12D10 13P15 PDFBibTeX XMLCite \textit{J.-B. Lasserre} et al., J. Symb. Comput. 51, 63--85 (2013; Zbl 1276.13021) Full Text: DOI arXiv
Mourrain, Bernard; Villamizar, Nelly Homological techniques for the analysis of the dimension of triangular spline spaces. (English) Zbl 1370.41020 J. Symb. Comput. 50, 564-577 (2013). MSC: 41A15 55U10 65D07 PDFBibTeX XMLCite \textit{B. Mourrain} and \textit{N. Villamizar}, J. Symb. Comput. 50, 564--577 (2013; Zbl 1370.41020) Full Text: DOI arXiv
Bucero, Marta Abril; Mourrain, Bernard Exact relaxation for polynomial optimization on semi-algebraic sets. arXiv:1307.6426 Preprint, arXiv:1307.6426 [math.AG] (2013). BibTeX Cite \textit{M. A. Bucero} and \textit{B. Mourrain}, ``Exact relaxation for polynomial optimization on semi-algebraic sets'', Preprint, arXiv:1307.6426 [math.AG] (2013) Full Text: arXiv OA License
Bucero, Marta Abril; Mourrain, Bernard; Trebuchet, Philippe Unconstraint global polynomial optimization via Gradient Ideal. arXiv:1301.5298 Preprint, arXiv:1301.5298 [math.AG] (2013). BibTeX Cite \textit{M. A. Bucero} et al., ``Unconstraint global polynomial optimization via Gradient Ideal'', Preprint, arXiv:1301.5298 [math.AG] (2013) Full Text: arXiv OA License
Mourrain, Bernard; Trébuchet, Philippe Border basis representation of a general quotient algebra. (English) Zbl 1323.68618 van der Hoeven, Joris (ed.) et al., Proceedings of the 37th international symposium on symbolic and algebraic computation, ISSAC 2012, Grenoble, France, July 22–25, 2012. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-1269-1). 265-272 (2012). MSC: 68W30 13P10 PDFBibTeX XMLCite \textit{B. Mourrain} and \textit{P. Trébuchet}, in: Proceedings of the 37th international symposium on symbolic and algebraic computation, ISSAC 2012, Grenoble, France, July 22--25, 2012. New York, NY: Association for Computing Machinery (ACM). 265--272 (2012; Zbl 1323.68618) Full Text: DOI
Diatta, Daouda Niang; Mourrain, Bernard; Ruatta, Olivier On the isotopic meshing of an algebraic implicit surface. (English) Zbl 1237.14069 J. Symb. Comput. 47, No. 8, 903-925 (2012). MSC: 14Q10 65D15 14P25 PDFBibTeX XMLCite \textit{D. N. Diatta} et al., J. Symb. Comput. 47, No. 8, 903--925 (2012; Zbl 1237.14069) Full Text: DOI
Janovitz-Freireich, Itnuit; Mourrain, Bernard; Rónyai, Lajos; Szántó, Ágnes On the computation of matrices of traces and radicals of ideals. (English) Zbl 1230.13002 J. Symb. Comput. 47, No. 1, 102-122 (2012). Reviewer: Yueh-er Kuo (Knoxville) MSC: 13-04 15-04 13P10 PDFBibTeX XMLCite \textit{I. Janovitz-Freireich} et al., J. Symb. Comput. 47, No. 1, 102--122 (2012; Zbl 1230.13002) Full Text: DOI arXiv
Nguyen, Thien; Mourrain, Bernard; Galligo, André; Xu, Gang A construction of injective parameterizations of domains for isogeometric applications. (English) Zbl 1350.65128 Moreno Maza, Marc (ed.), Proceedings of the 2011 international workshop on symbolic-numeric computation, SNC 2011, San Jose, CA, USA, June 7–11, 2011. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0515-0). 149-150 (2011). MSC: 65N30 35J05 35J47 65N50 PDFBibTeX XMLCite \textit{T. Nguyen} et al., in: Proceedings of the 2011 international workshop on symbolic-numeric computation, SNC 2011, San Jose, CA, USA, June 7--11, 2011. New York, NY: Association for Computing Machinery (ACM). 149--150 (2011; Zbl 1350.65128) Full Text: DOI
Mantzaflaris, Angelos; Mourrain, Bernard Deflation and certified isolation of singular zeros of polynomial systems. (English) Zbl 1323.65054 Leykin, Anton (ed.), Proceedings of the 36th international symposium on symbolic and algebraic computation, ISSAC 2011, San Jose, CA, USA, June 7–11, 2011. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0675-1). 249-256 (2011). MSC: 65H10 68W30 PDFBibTeX XMLCite \textit{A. Mantzaflaris} and \textit{B. Mourrain}, in: Proceedings of the 36th international symposium on symbolic and algebraic computation, ISSAC 2011, San Jose, CA, USA, June 7--11, 2011. New York, NY: Association for Computing Machinery (ACM). 249--256 (2011; Zbl 1323.65054) Full Text: DOI
Bernardi, Alessandra; Brachat, Jérôme; Comon, Pierre; Mourrain, Bernard Multihomogeneous polynomial decomposition using moment matrices. (English) Zbl 1323.15017 Leykin, Anton (ed.), Proceedings of the 36th international symposium on symbolic and algebraic computation, ISSAC 2011, San Jose, CA, USA, June 7–11, 2011. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0675-1). 35-42 (2011). MSC: 15A72 15A23 65F15 68W30 PDFBibTeX XMLCite \textit{A. Bernardi} et al., in: Proceedings of the 36th international symposium on symbolic and algebraic computation, ISSAC 2011, San Jose, CA, USA, June 7--11, 2011. New York, NY: Association for Computing Machinery (ACM). 35--42 (2011; Zbl 1323.15017) Full Text: DOI Link
van der Hoeven, Joris; Lecerf, Grégoire; Mourrain, Bernard; Trébuchet, Philippe; Berthomieu, Jérémy; Diatta, Daouda Niang; Mantzaflaris, Angelos Mathemagix: the quest of modularity and efficiency for symbolic and certified numeric computation? (English) Zbl 1308.68200 ACM Commun. Comput. Algebra 45, No. 4, 186-188 (2011). MSC: 68W30 65Y15 PDFBibTeX XMLCite \textit{J. van der Hoeven} et al., ACM Commun. Comput. Algebra 45, No. 3, 186--188 (2011; Zbl 1308.68200) Full Text: DOI
Xu, Gang; Mourrain, Bernard; Duvigneau, Régis; Galligo, André Parameterization of computational domain in isogeometric analysis: methods and comparison. (English) Zbl 1228.65232 Comput. Methods Appl. Mech. Eng. 200, No. 23-24, 2021-2031 (2011). MSC: 65N50 65D17 PDFBibTeX XMLCite \textit{G. Xu} et al., Comput. Methods Appl. Mech. Eng. 200, No. 23--24, 2021--2031 (2011; Zbl 1228.65232) Full Text: DOI Link
Chèze, Guillaume; Galligo, André; Mourrain, Bernard; Yakoubsohn, Jean-Claude A subdivision method for computing nearest gcd with certification. (English) Zbl 1221.68297 Theor. Comput. Sci. 412, No. 35, 4493-4503 (2011). MSC: 68W30 12E05 65Y20 PDFBibTeX XMLCite \textit{G. Chèze} et al., Theor. Comput. Sci. 412, No. 35, 4493--4503 (2011; Zbl 1221.68297) Full Text: DOI
Khalil, Houssam; Mourrain, Bernard; Schatzman, Michelle Transformation of the problem of solution of bilevel Toeplitz systems to a polynomial system. (Transformation du problème de résolution de systèmes de Toeplitz biniveaux à un problème polynomial.) (French. French summary) Zbl 1223.65019 Confluentes Math. 3, No. 2, 253-262 (2011). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65F05 65F40 65F50 13D02 15B05 PDFBibTeX XMLCite \textit{H. Khalil} et al., Confluentes Math. 3, No. 2, 253--262 (2011; Zbl 1223.65019) Full Text: DOI
Jia, Xiaohong; Choi, Yi-King; Mourrain, Bernard; Wang, Wenping An algebraic approach to continuous collision detection for ellipsoids. (English) Zbl 1233.65020 Comput. Aided Geom. Des. 28, No. 3, 164-176 (2011). Reviewer: Ivana Linkeová (Praha) MSC: 65D18 PDFBibTeX XMLCite \textit{X. Jia} et al., Comput. Aided Geom. Des. 28, No. 3, 164--176 (2011; Zbl 1233.65020) Full Text: DOI HAL
Mantzaflaris, Angelos; Mourrain, Bernard; Tsigaridas, Elias On continued fraction expansion of real roots of polynomial systems, complexity and condition numbers. (English) Zbl 1243.12005 Theor. Comput. Sci. 412, No. 22, 2312-2330 (2011). Reviewer: Luis David Garcia Puente (Huntsville) MSC: 12Y05 12D10 68W30 68Q25 PDFBibTeX XMLCite \textit{A. Mantzaflaris} et al., Theor. Comput. Sci. 412, No. 22, 2312--2330 (2011; Zbl 1243.12005) Full Text: DOI Link
Emiris, Ioannis Z.; Mourrain, Bernard; Tsigaridas, Elias P. The DMM bound: multivariate (aggregate) separation bounds. (English) Zbl 1321.68528 Watt, Stephen M. (ed.), Proceedings of the 35th international symposium on symbolic and algebraic computation, ISSAC 2010, Munich, Germany, July 25–28, 2010. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0150-3). 243-250 (2010). MSC: 68W30 65H04 68Q25 PDFBibTeX XMLCite \textit{I. Z. Emiris} et al., in: Proceedings of the 35th international symposium on symbolic and algebraic computation, ISSAC 2010, Munich, Germany, July 25--28, 2010. New York, NY: Association for Computing Machinery (ACM). 243--250 (2010; Zbl 1321.68528) Full Text: DOI
Hodorog, Mădălina; Mourrain, Bernard; Schicho, Josef GENOM3CK: a library for genus computation of plane complex algebraic curves using knot theory. (English) Zbl 1308.68173 ACM Commun. Comput. Algebra 44, No. 4, 198-200 (2010). MSC: 68W30 14Q05 57M25 PDFBibTeX XMLCite \textit{M. Hodorog} et al., ACM Commun. Comput. Algebra 44, No. 4, 198--200 (2010; Zbl 1308.68173) Full Text: DOI
Khalil, Houssam; Mourrain, Bernard; Schatzman, Michelle Toeplitz and Toeplitz-block-Toeplitz matrices and their correlation with syzygies of polynomials. (English) Zbl 1215.15033 Olshevsky, Vadim (ed.) et al., Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23–27, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-601-4/hbk). 296-312 (2010). MSC: 15B05 13D02 PDFBibTeX XMLCite \textit{H. Khalil} et al., in: Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23--27, 2007. Hackensack, NJ: World Scientific. 296--312 (2010; Zbl 1215.15033) Full Text: arXiv
Brachat, Jerome; Comon, Pierre; Mourrain, Bernard; Tsigaridas, Elias Symmetric tensor decomposition. (English) Zbl 1206.65141 Linear Algebra Appl. 433, No. 11-12, 1851-1872 (2010). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 65F30 15A69 PDFBibTeX XMLCite \textit{J. Brachat} et al., Linear Algebra Appl. 433, No. 11--12, 1851--1872 (2010; Zbl 1206.65141) Full Text: DOI
Mourrain, Bernard (ed.); Schaefer, Scott (ed.); Xu, Guoliang (ed.) Advances in geometric modeling and processing. 6th international conference, GMP 2010, Castro Urdiales, Spain, June 16–18, 2010. Proceedings. (English) Zbl 1189.68015 Lecture Notes in Computer Science 6130. Berlin: Springer (ISBN 978-3-642-13410-4/pbk). x, 315 p. (2010). MSC: 68-06 68U05 00B25 PDFBibTeX XMLCite \textit{B. Mourrain} (ed.) et al., Advances in geometric modeling and processing. 6th international conference, GMP 2010, Castro Urdiales, Spain, June 16--18, 2010. Proceedings. Berlin: Springer (2010; Zbl 1189.68015) Full Text: DOI
Mourrain, Bernard; Wintz, Julien A subdivision method for arrangement computation of semi-algebraic curves. (English) Zbl 1191.68890 Emiris, Ioannis Z. (ed.) et al., Nonlinear computational geometry. Papers presented at the workshop, Minneapolis, MN, USA, May 29–June 2, 2007. Dordrecht: Springer (ISBN 978-1-4419-0998-5/hbk; 978-1-4419-0999-2/e-book). The IMA Volumes in Mathematics and its Applications 151, 165-187 (2010). MSC: 68W30 65D17 14P10 PDFBibTeX XMLCite \textit{B. Mourrain} and \textit{J. Wintz}, IMA Vol. Math. Appl. 151, 165--187 (2010; Zbl 1191.68890) Full Text: DOI
Mantzaflaris, Angelos; Mourrain, Bernard; Tsigaridas, Elias Continued fraction expansion of real roots of polynomial systems. (English) Zbl 1356.65124 Kai, Hiroshi (ed.) et al., Proceedings of the 2009 workshop on symbolic-numeric computation, SNC 2009, Kyoto, Japan, August 3–5, 2009. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-60558-664-9). 85-94 (2009). MSC: 65H04 65H10 PDFBibTeX XMLCite \textit{A. Mantzaflaris} et al., in: Proceedings of the 2009 workshop on symbolic-numeric computation, SNC 2009, Kyoto, Japan, August 3--5, 2009. New York, NY: Association for Computing Machinery (ACM). 85--94 (2009; Zbl 1356.65124) Full Text: DOI Link
Luu Ba Thang; Busé, Laurent; Mourrain, Bernard Curve/surface intersection problem by means of matrix representations. (English) Zbl 1356.65060 Kai, Hiroshi (ed.) et al., Proceedings of the 2009 workshop on symbolic-numeric computation, SNC 2009, Kyoto, Japan, August 3–5, 2009. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-60558-664-9). 71-78 (2009). MSC: 65D17 65D18 65F30 PDFBibTeX XMLCite \textit{Luu Ba Thang} et al., in: Proceedings of the 2009 workshop on symbolic-numeric computation, SNC 2009, Kyoto, Japan, August 3--5, 2009. New York, NY: Association for Computing Machinery (ACM). 71--78 (2009; Zbl 1356.65060) Full Text: DOI Link
Chèze, Guillaume; Yakoubsohn, Jean-Claude; Galligo, André; Mourrain, Bernard Computing nearest gcd with certification. (English) Zbl 1356.68273 Kai, Hiroshi (ed.) et al., Proceedings of the 2009 workshop on symbolic-numeric computation, SNC 2009, Kyoto, Japan, August 3–5, 2009. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-60558-664-9). 29-34 (2009). MSC: 68W30 12E05 68Q25 PDFBibTeX XMLCite \textit{G. Chèze} et al., in: Proceedings of the 2009 workshop on symbolic-numeric computation, SNC 2009, Kyoto, Japan, August 3--5, 2009. New York, NY: Association for Computing Machinery (ACM). 29--34 (2009; Zbl 1356.68273) Full Text: DOI
Tu, Changhe; Wang, Wenping; Mourrain, Bernard; Wang, Jiaye Using signature sequences to classify intersection curves of two quadrics. (English) Zbl 1205.68473 Comput. Aided Geom. Des. 26, No. 3, 317-335 (2009). MSC: 68U07 14Q10 65D17 PDFBibTeX XMLCite \textit{C. Tu} et al., Comput. Aided Geom. Des. 26, No. 3, 317--335 (2009; Zbl 1205.68473) Full Text: DOI
Busé, Laurent; Mourrain, Bernard Explicit factors of some iterated resultants and discriminants. (English) Zbl 1200.13042 Math. Comput. 78, No. 265, 345-386 (2009). MSC: 13P05 PDFBibTeX XMLCite \textit{L. Busé} and \textit{B. Mourrain}, Math. Comput. 78, No. 265, 345--386 (2009; Zbl 1200.13042) Full Text: DOI
Laurent, Monique; Mourrain, Bernard A generalized flat extension theorem for moment matrices. (English) Zbl 1183.30030 Arch. Math. 93, No. 1, 87-98 (2009). Reviewer: Gabriel Larotonda (Buenos Aires) MSC: 30E05 12D10 PDFBibTeX XMLCite \textit{M. Laurent} and \textit{B. Mourrain}, Arch. Math. 93, No. 1, 87--98 (2009; Zbl 1183.30030) Full Text: DOI
Alberti, Lionel; Mourrain, Bernard; Técourt, Jean-Pierre Isotopic triangulation of a real algebraic surface. (English) Zbl 1173.14344 J. Symb. Comput. 44, No. 9, 1291-1310 (2009). MSC: 14P25 PDFBibTeX XMLCite \textit{L. Alberti} et al., J. Symb. Comput. 44, No. 9, 1291--1310 (2009; Zbl 1173.14344) Full Text: DOI
Mourrain, B.; Pavone, J. P. Subdivision methods for solving polynomial equations. (English) Zbl 1158.13010 J. Symb. Comput. 44, No. 3, 292-306 (2009). MSC: 13P10 68W30 13F55 PDFBibTeX XMLCite \textit{B. Mourrain} and \textit{J. P. Pavone}, J. Symb. Comput. 44, No. 3, 292--306 (2009; Zbl 1158.13010) Full Text: DOI
Busé, L. (ed.); Elkadi, M. (ed.); Mourrain, B. (ed.) Special issue: Computational algebraic geometry and applications. Based on the conference at the occasion of André Galligo ’s 60th birthday, Nice, France, June 2–6, 2006. (English) Zbl 1211.14005 Theor. Comput. Sci. 392, No. 1-3, 178 p. (2008). MSC: 14-06 65-06 68-06 00B25 PDFBibTeX XML
Alberti, L.; Mourrain, B.; Wintz, J. Topology and arrangement computation of semi-algebraic planar curves. (English) Zbl 1172.14343 Comput. Aided Geom. Des. 25, No. 8, 631-651 (2008). MSC: 14P25 14P10 65D17 68U05 14Q05 14H50 PDFBibTeX XMLCite \textit{L. Alberti} et al., Comput. Aided Geom. Des. 25, No. 8, 631--651 (2008; Zbl 1172.14343) Full Text: DOI
Comon, Pierre; Golub, Gene; Lim, Lek-Heng; Mourrain, Bernard Symmetric tensors and symmetric tensor rank. (English) Zbl 1181.15014 SIAM J. Matrix Anal. Appl. 30, No. 3, 1254-1279 (2008). Reviewer: Witold Więsław (Wrocław) MSC: 15A21 15A69 15A03 15A72 15A18 PDFBibTeX XMLCite \textit{P. Comon} et al., SIAM J. Matrix Anal. Appl. 30, No. 3, 1254--1279 (2008; Zbl 1181.15014) Full Text: DOI arXiv HAL
Janovitz-Freirech, Itnuit; Szántó, Agnes; Mourrain, Bernard; Ronyai, Lajos Moment matrices, trace matrices, and the radical of ideals. (English) Zbl 1487.13057 Jeffrey, David J. (ed.), Proceedings of the 2008 international symposium on symbolic and algebraic computation, ISSAC 2008, Linz/Hagenberg, Austria, July 20–23, 2008. New York, NY: Association for Computing Machinery (ACM). 125-132 (2008). MSC: 13P10 44A60 68W30 PDFBibTeX XMLCite \textit{I. Janovitz-Freirech} et al., in: Proceedings of the 2008 international symposium on symbolic and algebraic computation, ISSAC 2008, Linz/Hagenberg, Austria, July 20--23, 2008. New York, NY: Association for Computing Machinery (ACM). 125--132 (2008; Zbl 1487.13057) Full Text: DOI
Daouda, Diatta Niang; Mourrain, Bernard; Ruatta, Olivier On the computation of the topology of a non-reduced implicit space curve. (English) Zbl 1238.14046 Jeffrey, David J. (ed.), ISSAC 2008. Proceedings of the twenty-first international symposium on symbolic and algebraic computation 2008, Linz/Hagenberg, Austria, July 20–23, 2008. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-59593-904-3). 47-54 (2008). MSC: 14Q10 65D15 14P25 68W30 PDFBibTeX XMLCite \textit{D. N. Daouda} et al., in: Proceedings of the 2008 international symposium on symbolic and algebraic computation, ISSAC 2008, Linz/Hagenberg, Austria, July 20--23, 2008. New York, NY: Association for Computing Machinery (ACM). 47--54 (2008; Zbl 1238.14046) Full Text: DOI
Emiris, Ioannis Z.; Mourrain, Bernard; Tsigaridas, Elias P. Real algebraic numbers: Complexity analysis and experimentation. (English) Zbl 1165.65315 Hertling, Peter (ed.) et al., Reliable implementation of real number algorithms: Theory and practice. International seminar, Dagstuhl Castle, Germany, January 8–13, 2006. Revised papers. Berlin: Springer (ISBN 978-3-540-85520-0/pbk). Lecture Notes in Computer Science 5045, 57-82 (2008). MSC: 65D17 65Y20 PDFBibTeX XMLCite \textit{I. Z. Emiris} et al., Lect. Notes Comput. Sci. 5045, 57--82 (2008; Zbl 1165.65315) Full Text: DOI