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hal-00776074v1  Conference papers
Adam StrzebonskiElias Tsigaridas. Univariate Real Root Isolation in Multiple Extension Fields
ISSAC 2012 - 37th ACM International Symposium on Symbolic and Algebraic Computation, Jul 2012, Grenoble, France. pp.343-350, ⟨10.1145/2442829.2442878⟩
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inria-00431559v1  Conference papers
Sylvain LazardLuis PeñarandaElias Tsigaridas. Univariate Algebraic Kernel and Application to Arrangements
8th International Symposium SEA 2009, Jun 2009, Dortmund, Germany. pp.209-220, ⟨10.1007/978-3-642-02011-7⟩
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hal-03105216v1  Conference papers
Ricardo FabbriTimothy DuffHongyi FanMargaret ReganDavid da Costa de Pinho et al.  TRPLP – Trifocal Relative Pose From Lines at Points
CVPR 2020 - IEEE/CVF Conference on Computer Vision and Pattern Recognition, Jun 2020, Seattle / Virtual, United States. pp.12070-12080, ⟨10.1109/CVPR42600.2020.01209⟩
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hal-01787423v2  Conference papers
Matías BenderJean-Charles FaugèreElias Tsigaridas. Towards Mixed Gröbner Basis Algorithms: the Multihomogeneous and Sparse Case
ISSAC 2018 - 43rd International Symposium on Symbolic and Algebraic Computation, Jul 2018, New York, United States. ⟨10.1145/3208976.3209018⟩
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inria-00344433v1  Conference papers
Ioannis Z. EmirisAthanasios KakargiasSylvain PionMonique TeillaudElias Tsigaridas. Towards an Open Curved Kernel
ACM Symposium on Computational Geometry, Jun 2004, New York, United States. pp.438-446
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inria-00425378v1  Conference papers
Hazel EverettChristian GillotDaniel LazardSylvain LazardMarc Pouget. The Voronoi diagram of three arbitrary lines in R3
25th European Workshop on Computational Geometry - EuroCG'09, Mar 2009, Bruxelles, Belgium. pp.297-300
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inria-00393833v4  Conference papers
Ioannis Z. EmirisBernard MourrainElias Tsigaridas. The DMM bound: multivariate (aggregate) separation bounds
Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, Jul 2010, Munich, Germany. pp.243-250, ⟨10.1145/1837934.1837981⟩
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hal-01953446v1  Journal articles
Michael BurrShuhong GaoElias Tsigaridas. The Complexity of Subdivision for Diameter-Distance Tests
Journal of Symbolic Computation, Elsevier, In press
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hal-01528392v2  Conference papers
Michael BurrShuhong GaoElias Tsigaridas. The Complexity of an Adaptive Subdivision Method for Approximating Real Curves
ISSAC 2017 - International Symposium on Symbolic and Algebraic Computation, Jul 2017, Kaiserslautern, Germany. pp.8, ⟨10.1145/3087604.3087654⟩
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inria-00178498v1  Book sections
Bernard MourrainJean-Pascal PavonePhilippe TrebuchetElias TsigaridasJulien Wintz. SYNAPS: A library for dedicated applications in symbolic numeric computing,
M.E. Stillman and N. Takayama and J. Verschelde. Software for algebraic geometry, 148, Springer, pp.81-110, 2007, IMA Volumes in Mathematics and its Applications
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inria-00355713v2  Journal articles
Jérôme BrachatPierre ComonBernard MourrainElias Tsigaridas. Symmetric tensor decomposition
Linear Algebra and its Applications, Elsevier, 2010, 433 (11-12), pp.1851-1872. ⟨10.1016/j.laa.2010.06.046⟩
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hal-00435908v1  Conference papers
Jérôme BrachatPierre ComonBernard MourrainElias Tsigaridas. Symmetric tensor decomposition
17th European Signal Processing Conference 2009., Aug 2009, Glasgow, United Kingdom. pp.525-529
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hal-01528377v1  Conference papers
Angelos MantzaflarisÉric SchostElias Tsigaridas. Sparse Rational Univariate Representation
ISSAC 2017 - International Symposium on Symbolic and Algebraic Computation, Jul 2017, Kaiserslautern, Germany. pp.8, ⟨10.1145/3087604.3087653⟩
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hal-01422209v1  Journal articles
Elias Tsigaridas. SLV: a software for real root isolation
ACM Communications in Computer Algebra, Association for Computing Machinery (ACM), 2016, 50 (3), pp.117 - 120. ⟨10.1145/3015306.3015317⟩
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hal-01289699v1  Journal articles
Marc GlisseSylvain LazardJulien MichelMarc Pouget. Silhouette of a random polytope
Journal of Computational Geometry, Carleton University, Computational Geometry Laboratory, 2016, 7 (1), pp.14. ⟨10.20382/jocg.v7i1a5⟩
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hal-00841374v2  Reports
Marc GlisseSylvain LazardJulien MichelMarc Pouget. Silhouette of a random polytope
[Research Report] RR-8327, INRIA. 2013, pp.13
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hal-01105276v5  Journal articles
Ioannis Z. EmirisBernard MourrainElias Tsigaridas. Separation bounds for polynomial systems
Journal of Symbolic Computation, Elsevier, 2020, 101, pp.128-151. ⟨10.1016/j.jsc.2019.07.001⟩
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hal-00809425v1  Conference papers
Yacine BouzidiSylvain LazardMarc PougetFabrice Rouillier. Separating Linear Forms for Bivariate Systems
ISSAC - 38th International Symposium on Symbolic and Algebraic Computation, Jun 2013, Boston, United States. pp.117-124
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hal-02572792v1  Journal articles
Tolis ChalkisVissarion FisikopoulosPanagiotis RepouskosElias Tsigaridas. Sampling the feasible sets of SDPs and volume approximation
ACM Communications in Computer Algebra, Association for Computing Machinery (ACM), In press, ⟨10.1145/3457341.3457349⟩
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inria-00329762v1  Book sections
Frédéric CazalsJean-Charles FaugèreMarc PougetFabrice Rouillier. Ridges and Umbilics of Polynomial Parametric Surfaces
B. Juttler and R. Piene. Geometric Modeling and Algebraic Geometry, Springer, pp.141--159, 2008, 978-3-540-72184-0. ⟨10.1007/978-3-540-72185-7_8⟩
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hal-01525560v1  Conference papers
Angelos MantzaflarisElias Tsigaridas. Resultants and Discriminants for Bivariate Tensor-product Polynomials
ISSAC 2017 - International Symposium on Symbolic and Algebraic Computation, Mohab Safey El Din, Jul 2017, Kaiserslautern, Germany. pp.8, ⟨10.1145/3087604.3087646⟩
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hal-01920444v1  Journal articles
Rémi ImbachGuillaume MorozMarc Pouget. Reliable Location with Respect to the Projection of a Smooth Space Curve
Reliable Computing, Springer Verlag, 2018, 26, pp.13-55
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hal-02406758v1  Conference papers
Sény DiattaGuillaume MorozMarc Pouget. Reliable Computation of the Singularities of the Projection in R3 of a Generic Surface of R4
MACIS 2019 - Mathematical Aspects of Computer and Information Sciences, Nov 2019, Gebze-Istanbul, Turkey
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inria-00071370v1  Conference papers
Ioannis Z. EmirisBernard MourrainElias Tsigaridas. Real Algebraic Numbers: Complexity Analysis and Experimentations
Reliable Implementations of Real Number Algorithms: Theory and Practice, 2008, Dagsthul, Germany. pp.57-82
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hal-00809430v1  Conference papers
Yacine BouzidiSylvain LazardMarc PougetFabrice Rouillier. Rational Univariate Representations of Bivariate Systems and Applications
ISSAC - 38th International Symposium on Symbolic and Algebraic Computation, Jun 2013, Boston, United States. pp.109-116
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hal-02953909v1  Journal articles
Christina KatsamakiFabrice RouillierElias TsigaridasZafeirakis Zafeirakopoulos. PTOPO: A Maple package for the topology of parametric curves
ACM Communications in Computer Algebra, Association for Computing Machinery (ACM), 2020, 54 (2), pp.49-52. ⟨10.1145/3427218.3427223⟩
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inria-00517175v1  Journal articles
Jinsan ChengSylvain LazardLuis PeñarandaMarc PougetFabrice Rouillier et al.  On the topology of real algebraic plane curves
Mathematics in Computer Science, Springer, 2010, 4 (1), pp.113-137. ⟨10.1007/s11786-010-0044-3⟩
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inria-00425383v1  Conference papers
Jinsan ChengSylvain LazardLuis PeñarandaMarc PougetFabrice Rouillier et al.  On the topology of planar algebraic curves
25th annual symposium on Computational geometry - SCG 2009, Jun 2009, Aarhus, Denmark. pp.361--370, ⟨10.1145/1542362.1542424⟩
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inria-00329754v1  Conference papers
Jinsan ChengSylvain LazardLuis PeñarandaMarc PougetFabrice Rouillier et al.  On The Topology of Planar Algebraic Curves
24th European Workshop on Computational Geometry - EuroCG 2008, Mar 2008, Nancy, France. pp.213--216
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hal-00776280v2  Journal articles
Gabriella JeronimoDaniel PerrucciElias Tsigaridas. On the minimum of a polynomial function on a basic closed semialgebraic set and applications
SIAM Journal on Optimization, Society for Industrial and Applied Mathematics, 2013, 23 (1), pp.241--255
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hal-01710518v2  Conference papers
Evangelos BartzosIoannis Z. EmirisJan LegerskýElias Tsigaridas. On the Maximal Number of Real Embeddings of Spatial Minimally Rigid Graphs
ISSAC '18 International Symposium on Symbolic and Algebraic Computation, Jul 2018, New York, United States. pp.55-62, ⟨10.1145/3208976.3208994⟩
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hal-02573423v2  Conference papers
Christina KatsamakiFabrice RouillierElias TsigaridasZafeirakis Zafeirakopoulos. On the Geometry and the Topology of Parametric Curves
ISSAC 2020 - International Symposium on Symbolic and Algebraic Computation, Jul 2020, Kalamata / Virtual, Greece