Pascal Giorgi

Javad Doliskani, Pascal Giorgi, Romain Lebreton, Éric Schost. Simultaneous conversions with the Residue Number System using linear algebra. ACM Transactions on Mathematical Software, Association for Computing Machinery, 2018, 44 (3), pp.#27. ⟨10.1145/3145573⟩. ⟨lirmm-01415472v2⟩

Pascal Giorgi. A probabilistic algorithm for verifying polynomial middle product in linear time. Information Processing Letters, Elsevier, 2018, 139, pp.30-34. ⟨10.1016/j.ipl.2018.06.014⟩. ⟨lirmm-01538453v2⟩

Pascal Giorgi, Romain Lebreton. Relaxing order basis computation. ACM Communications in Computer Algebra, Association for Computing Machinery (ACM), 2014, 47 (3/4), pp.100-101. ⟨10.1145/2576802.2576813⟩. ⟨lirmm-01372532⟩

Pascal Giorgi. On Polynomial Multiplication in Chebyshev Basis. IEEE Transactions on Computers, Institute of Electrical and Electronics Engineers, 2012, 61 (6), pp.780-789. ⟨10.1109/TC.2011.110⟩. ⟨hal-00520207v2⟩

Jean-Guillaume Dumas, Pascal Giorgi, Clément Pernet. Dense Linear Algebra over Word-Size Prime Fields: the FFLAS and FFPACK packages. ACM Transactions on Mathematical Software, Association for Computing Machinery, 2008, 35 (3), pp.19:1-42. ⟨10.1145/1391989.1391992⟩. ⟨hal-00018223v4⟩

Pascal Giorgi, Bruno Grenet, Armelle Perret Du Cray. Essentially optimal sparse polynomial multiplication. ISSAC 2020 - 45th International Symposium on Symbolic and Algebraic Computation, Jul 2020, Kalamata, Greece. pp.202-209, ⟨10.1145/3373207.3404026⟩. ⟨hal-02476609v2⟩

Bruno Grenet, Daniel S. Roche, Pascal Giorgi. Fast in-place algorithms for polynomial operations: division, evaluation, interpolation. ISSAC 2020 - 45th International Symposium on Symbolic and Algebraic Computation, Jul 2020, Kalamata, Greece. pp.210-217, ⟨10.1145/3373207.3404061⟩. ⟨lirmm-02493066v3⟩

Pascal Giorgi, Bruno Grenet, Daniel S. Roche. Generic reductions for in-place polynomial multiplication. ISSAC 2019 - 44th International Symposium on Symbolic and Algebraic Computation, Jul 2019, Beijing, China. pp.187-194, ⟨10.1145/3326229.3326249⟩. ⟨lirmm-02003089v2⟩

Nelli Elizarov, Pascal Giorgi, Alexandra Yeromina, Sylvain Antoniotti. Complex molecule synthesis made easy. Université Côte d'Azur Complex Days, M. Argentina; S. Barland; P. Reynaud-Bouret; F. Cauneau; K. Guillouzouic; U. Kuhl; T. Passot; F. Planchon, Jan 2018, Nice, France. pp.77-86. ⟨hal-02014226⟩

Pascal Giorgi, Vincent Neiger. Certification of minimal approximant bases. ISSAC 2018 - 43rd International Symposium on Symbolic and Algebraic Computation, Jul 2018, New York, United States. pp.167-174, ⟨10.1145/3208976.3208991⟩. ⟨hal-01701861v2⟩

Alexis Breust, Christophe Chabot, Jean-Guillaume Dumas, Laurent Fousse, Pascal Giorgi. Recursive double-size fixed precision arithmetic. ICMS: International Congress of Mathematical Software, Jul 2016, Berlin, Germany. pp.223--231, ⟨10.1007/978-3-319-42432-3_28⟩. ⟨hal-00582593v2⟩

Brice Boyer, Jean-Guillaume Dumas, Pascal Giorgi, Clément Pernet, B. David Saunders. Elements of Design for Containers and Solutions in the LinBox Library. ICMS: International Congress on Mathematical Software, Aug 2014, Seoul, South Korea. pp.654-662, ⟨10.1007/978-3-662-44199-2_98⟩. ⟨hal-01015138⟩

Pascal Giorgi, Romain Lebreton. Online order basis algorithm and its impact on the block Wiedemann algorithm. ISSAC 204 - 39th International Symposium on Symbolic and Algebraic Computation, Jul 2014, Kobe, Japan. pp.202-209, ⟨10.1145/2608628.2608647⟩. ⟨lirmm-01232873⟩

Pascal Giorgi, Bastien Vialla. Generating Optimized Sparse Matrix Vector Product over Finite Fields. ICMS: International Congress on Mathematical Software, Aug 2014, Séoul, South Korea. pp.685-690, ⟨10.1007/978-3-662-44199-2_102⟩. ⟨lirmm-01275818⟩

Pascal Giorgi, Laurent Imbert, Thomas Izard. Parallel modular multiplication on multi-core processors. IEEE Symposium on Computer Arithmetic, Apr 2013, Austin, TX, United States. pp.135-142, ⟨10.1109/ARITH.2013.20⟩. ⟨hal-00805242⟩

Brice Boyer, Jean-Guillaume Dumas, Pascal Giorgi. Exact Sparse Matrix-Vector Multiplication on GPU's and Multicore Architectures. PASCO'10: 4th International Symposium on Parallel Symbolic Computation, Jul 2010, Grenoble, France. pp.80-88, ⟨10.1145/1837210.1837224⟩. ⟨hal-00475185⟩

Pascal Giorgi, Laurent Imbert, Thomas Izard. Optimizing Elliptic Curve Scalar Multiplication for Small Scalars. Mathematics for Signal and Information Processing, 2009, San Diego, CA, United States. pp.74440N, ⟨10.1117/12.827689⟩. ⟨lirmm-00424282⟩

Pascal Giorgi, Thomas Izard, Arnaud Tisserand. Comparison of Modular Arithmetic Algorithms on GPUs. ParCo'09: International Conference on Parallel Computing, France. pp.N/A. ⟨lirmm-00424288v2⟩

Sylvie Boldo, Marc Daumas, Pascal Giorgi. Formal proof for delayed finite field arithmetic using floating point operators. 8th Conference on Real Numbers and Computers, Jul 2008, Saint Jacques de Compostelle, Spain. pp.113-122. ⟨hal-00135090v3⟩

Pascal Giorgi, Christophe Negre, Thomas Plantard. Subquadratic Binary Field Multiplier in Double Polynomial System. SECRYPT'2007: International Conference on Security and Cryptography,, Jul 2007, Barcelona, Spain. pp.229--236. ⟨hal-00140082⟩

Jean-Guillaume Dumas, Philippe Elbaz-Vincent, Pascal Giorgi, Anna Urbanska. Parallel computation of the rank of large sparse matrices from algebraic K-theory. PASCO '07 - International Workshop on Parallel Symbolic Computation, Jul 2007, London, Canada. pp.43-52, ⟨10.1145/1278177.1278186⟩. ⟨hal-00142141v2⟩

Jean-Guillaume Dumas, Pascal Giorgi, Clément Pernet. FFPACK: finite field linear algebra package. International Symposium on Symbolic and Algebraic Computation (ISSAC'04), Jul 2004, Santander, Spain. pp.119-126, ⟨10.1145/1005285.1005304⟩. ⟨hal-02018838⟩

Pascal Giorgi, Bruno Grenet, Armelle Perret Du Cray. Polynomial modular product verification and its implications. 2021. ⟨hal-03102121⟩

Pascal Giorgi, Bruno Grenet, Armelle Perret Du Cray. On exact division and divisibility testing for sparse polynomials. 2021. ⟨hal-03136945⟩

Wayne Eberly, Mark Giesbrecht, Pascal Giorgi, Arne Storjohann, Gilles Villard. Faster Inversion and Other Black Box Matrix Computations Using Efficient Block Projections. 2007. ⟨hal-00127807⟩

Wayne Eberly, Mark Giesbrecht, Pascal Giorgi, Arne Storjohann, Gilles Villard. Solving Sparse Integer Linear Systems. 2006. ⟨hal-00021456⟩

Pascal Giorgi, Laurent Imbert, Thomas Izard. Multipartite Modular Multiplication. RR-11024, 2011, pp.25. ⟨lirmm-00618437⟩

Pascal Giorgi. Arithmétique et algorithmique en algèbre linéaire exacte pour la bibliothèque LinBox. Génie logiciel [cs.SE]. Ecole normale supérieure de lyon - ENS LYON, 2004. Français. ⟨tel-00008951⟩

Pascal Giorgi. Efficient algorithms and implementation in exact linear algebra. Symbolic Computation [cs.SC]. Université de Montpellier, 2019. ⟨tel-02360023⟩