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Books and Theses
- 2019
[b2]Pascal Giorgi:
Efficient algorithms and implementation in exact linear algebra. (Algorithmes et implantations efficaces en algèbre linéaire exacte). University of Montpellier, France, 2019- 2004
- [b1]Pascal Giorgi:
Arithmétique et algorithmique en algèbre linéaire exacte pour la bibliothèque LinBox. (Arithmetic and algorithmic in exact linear algebra for the LinBox library). École normale supérieure de Lyon, France, 2004
Journal Articles
- 2023
- [j6]Pascal Giorgi, Bruno Grenet
, Armelle Perret du Cray:
Polynomial modular product verification and its implications. J. Symb. Comput. 116: 98-129 (2023) - 2018
- [j5]Pascal Giorgi:
A probabilistic algorithm for verifying polynomial middle product in linear time. Inf. Process. Lett. 139: 30-34 (2018) - [j4]Javad Doliskani, Pascal Giorgi, Romain Lebreton, Éric Schost:
Simultaneous Conversions with the Residue Number System Using Linear Algebra. ACM Trans. Math. Softw. 44(3): 27:1-27:21 (2018) - 2013
- [j3]Pascal Giorgi, Romain Lebreton:
Relaxing order basis computation. ACM Commun. Comput. Algebra 47(3/4): 100-101 (2013) - 2012
- [j2]Pascal Giorgi:
On Polynomial Multiplication in Chebyshev Basis. IEEE Trans. Computers 61(6): 780-789 (2012) - 2008
- [j1]Jean-Guillaume Dumas, Pascal Giorgi, Clément Pernet:
Dense Linear Algebra over Word-Size Prime Fields: the FFLAS and FFPACK Packages. ACM Trans. Math. Softw. 35(3): 19:1-19:42 (2008)
Conference and Workshop Papers
- 2024
- [c22]Pascal Giorgi, Fabien Laguillaumie, Lucas Ottow, Damien Vergnaud:
Fast Secure Computations on Shared Polynomials and Applications to Private Set Operations. ITC 2024: 11:1-11:24 - [c21]Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray, Daniel S. Roche:
Fast interpolation and multiplication of unbalanced polynomials. ISSAC 2024: 437-446 - 2022
- [c20]Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray, Daniel S. Roche:
Random Primes without Primality Testing. ISSAC 2022: 207-215 - [c19]Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray, Daniel S. Roche:
Sparse Polynomial Interpolation and Division in Soft-linear Time. ISSAC 2022: 459-468 - 2021
- [c18]Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray:
On Exact Division and Divisibility Testing for Sparse Polynomials. ISSAC 2021: 163-170 - 2020
- [c17]Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray:
Essentially optimal sparse polynomial multiplication. ISSAC 2020: 202-209 - [c16]Pascal Giorgi, Bruno Grenet, Daniel S. Roche:
Fast in-place algorithms for polynomial operations: division, evaluation, interpolation. ISSAC 2020: 210-217 - 2019
- [c15]Pascal Giorgi, Bruno Grenet, Daniel S. Roche:
Generic Reductions for In-place Polynomial Multiplication. ISSAC 2019: 187-194 - 2018
- [c14]Pascal Giorgi, Vincent Neiger:
Certification of Minimal Approximant Bases. ISSAC 2018: 167-174 - 2016
- [c13]Alexis Breust, Christophe Chabot, Jean-Guillaume Dumas, Laurent Fousse, Pascal Giorgi:
Recursive Double-Size Fixed Precision Arithmetic. ICMS 2016: 223-231 - 2014
- [c12]Brice Boyer, Jean-Guillaume Dumas, Pascal Giorgi, Clément Pernet, B. David Saunders:
Elements of Design for Containers and Solutions in the LinBox Library - Extended Abstract. ICMS 2014: 654-662 - [c11]Pascal Giorgi, Bastien Vialla:
Generating Optimized Sparse Matrix Vector Product over Finite Fields. ICMS 2014: 685-690 - [c10]Pascal Giorgi, Romain Lebreton:
Online order basis algorithm and its impact on the block Wiedemann algorithm. ISSAC 2014: 202-209 - 2013
- [c9]Pascal Giorgi, Laurent Imbert, Thomas Izard:
Parallel Modular Multiplication on Multi-core Processors. IEEE Symposium on Computer Arithmetic 2013: 135-142 - 2010
- [c8]Brice Boyer, Jean-Guillaume Dumas, Pascal Giorgi:
Exact sparse matrix-vector multiplication on GPU's and multicore architectures. PASCO 2010: 80-88 - 2009
- [c7]Pascal Giorgi, Thomas Izard, Arnaud Tisserand:
Comparison of Modular Arithmetic Algorithms on GPUs. PARCO 2009: 315-322 - 2007
- [c6]Jean-Guillaume Dumas, Philippe Elbaz-Vincent, Pascal Giorgi, Anna Urbanska:
Parallel computation of the rank of large sparse matrices from algebraic K-theory. PASCO 2007: 43-52 - [c5]Wayne Eberly, Mark Giesbrecht, Pascal Giorgi, Arne Storjohann, Gilles Villard:
Faster inversion and other black box matrix computations using efficient block projections. ISSAC 2007: 143-150 - [c4]Pascal Giorgi, Christophe Nègre, Thomas Plantard:
Subquadratic Binary Field Multiplier in Double Polynomial System. SECRYPT 2007: 229-236 - 2006
- [c3]Wayne Eberly, Mark Giesbrecht, Pascal Giorgi, Arne Storjohann, Gilles Villard:
Solving sparse rational linear systems. ISSAC 2006: 63-70 - 2004
- [c2]Jean-Guillaume Dumas, Pascal Giorgi, Clément Pernet:
FFPACK: finite field linear algebra package. ISSAC 2004: 119-126 - 2003
- [c1]Pascal Giorgi, Claude-Pierre Jeannerod, Gilles Villard:
On the complexity of polynomial matrix computations. ISSAC 2003: 135-142
Informal and Other Publications
- 2024
- [i21]Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray, Daniel S. Roche:
Fast interpolation and multiplication of unbalanced polynomials. CoRR abs/2402.10139 (2024) - [i20]Pascal Giorgi, Fabien Laguillaumie, Lucas Ottow, Damien Vergnaud:
Fast Secure Computations on Shared Polynomials and Applications to Private Set Operations. IACR Cryptol. ePrint Arch. 2024: 470 (2024) - 2022
- [i19]Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray, Daniel S. Roche:
Random primes in arithmetic progressions. CoRR abs/2202.05955 (2022) - [i18]Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray, Daniel S. Roche:
Sparse polynomial interpolation and division in soft-linear time. CoRR abs/2202.08106 (2022) - [i17]Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray, Daniel S. Roche:
Random primes without primality testing. CoRR abs/2202.12073 (2022) - [i16]Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray, Daniel S. Roche:
Random primes in arithmetic progressions. IACR Cryptol. ePrint Arch. 2022: 160 (2022) - 2021
- [i15]Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray:
Polynomial modular product verification and its implications. CoRR abs/2101.02142 (2021) - [i14]Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray:
On exact division and divisibility testing for sparse polynomials. CoRR abs/2102.04826 (2021) - 2020
- [i13]Pascal Giorgi, Bruno Grenet, Armelle Perret du Cray:
Essentially optimal sparse polynomial multiplication. CoRR abs/2001.11959 (2020) - [i12]Pascal Giorgi, Bruno Grenet, Daniel S. Roche:
Fast in-place algorithms for polynomial operations: division, evaluation, interpolation. CoRR abs/2002.10304 (2020) - 2019
- [i11]Pascal Giorgi, Bruno Grenet, Daniel S. Roche:
Generic reductions for in-place polynomial multiplication. CoRR abs/1902.02967 (2019) - 2018
- [i10]Pascal Giorgi, Vincent Neiger:
Certification of minimal approximant bases. CoRR abs/1802.01920 (2018) - 2014
- [i9]Brice Boyer, Jean-Guillaume Dumas, Pascal Giorgi, Clément Pernet, B. David Saunders:
Elements of Design for Containers and Solutions in the LinBox Library. CoRR abs/1407.3262 (2014) - 2011
- [i8]Christophe Chabot, Jean-Guillaume Dumas, Laurent Fousse, Pascal Giorgi:
Recursive double-size fixed precision arithmetic. CoRR abs/1104.0478 (2011) - 2010
- [i7]Brice Boyer, Jean-Guillaume Dumas, Pascal Giorgi:
Exact Sparse Matrix-Vector Multiplication on GPU's and Multicore Architectures. CoRR abs/1004.3719 (2010) - [i6]Pascal Giorgi:
On Polynomial Multiplication in Chebyshev Basis. CoRR abs/1009.4597 (2010) - 2007
- [i5]Jean-Guillaume Dumas, Philippe Elbaz-Vincent, Pascal Giorgi, Anna Urbanska:
Parallel computation of the rank of large sparse matrices from algebraic K-theory. CoRR abs/0704.2351 (2007) - [i4]Wayne Eberly, Mark Giesbrecht, Pascal Giorgi, Arne Storjohann, Gilles Villard:
Faster Inversion and Other Black Box Matrix Computations Using Efficient Block Projections. CoRR abs/cs/0701188 (2007) - [i3]Marc Daumas, Pascal Giorgi:
Formal proof for delayed finite field arithmetic using floating point operators. CoRR abs/cs/0703026 (2007) - 2006
- [i2]Jean-Guillaume Dumas, Thierry Gautier, Pascal Giorgi, Clément Pernet:
Dense Linear Algebra over Finite Fields: the FFLAS and FFPACK packages. CoRR abs/cs/0601133 (2006) - [i1]Wayne Eberly, Mark Giesbrecht, Pascal Giorgi, Arne Storjohann, Gilles Villard:
Solving Sparse Integer Linear Systems. CoRR abs/cs/0603082 (2006)
Coauthor Index
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