Givaro swMATH ID: 354 Software Authors: Thierry Gautier, Jean-Louis Roch, Gilles Villard Description: In the joint CNRS-INRIA / INPG-UJF project APACHE, Givaro is a C++ library for arithmetic and algebraic computations. Its main features are implementations of the basic arithmetic of many mathematical entities: Primes fields, Extensions Fields, Finite Fields, Finite Rings, Polynomials, Algebraic numbers, Arbitrary precision integers and rationals (C++ wrappers over gmp) It also provides data-structures and templated classes for the manipulation of basic algebraic objects, such as vectors, matrices (dense, sparse, structured), univariate polynomials (and therefore recursive multivariate). It contains different program modules and is fully compatible with the LinBox linear algebra library and the Athapascan environment, which permits parallel programming.Thierry Gautier, Jean-Louis Roch, and Gilles Villard. Givaro, a C++ for algebraic computations. http://www-lmc.imag.fr/Logiciels/givaro. Homepage: http://ljk.imag.fr/CASYS/LOGICIELS/givaro/ Keywords: orms Related Software: NTL; LinBox; FFLAS-FFPACK; gmp; Magma; SageMath; KLU; QSopt-Exact; mctoolbox; QSopt_ex; SoPlex; MPFR; SPQR_RANK; FLINT; SuiteSparseQR; kepler98; SCIP; SparseMatrix; Algorithm 529; SPEX Left LU Cited in: 8 Documents This software is also referenced in ORMS. all top 5 Cited by 26 Authors 3 Dumas, Jean-Guillaume 2 Fousse, Laurent 1 Bertolazzi, Enrico 1 Breust, Alexis 1 Chabot, Christophe 1 Chen, Jinhao 1 Cohen, GĂ©rard Denis 1 Cung, Van Dot 1 Danjean, Vincent 1 Davis, Timothy Alden 1 Flori, Jean-Pierre 1 Gautier, Thierry 1 Giorgi, Pascal 1 Huard, Guillaume 1 Lourenco, Christopher J. 1 Mesnager, Sihem 1 Moreno-Centeno, Erick 1 Raffin, Bruno 1 Rapine, Christophe 1 Rimoldi, Anna 1 Roch, Jean-Louis 1 Salvy, Bruno 1 Saunders, B. David 1 Trystram, Denis R. 1 Villard, Gilles 1 Youse, Bryan S. Cited in 4 Serials 1 ACM Transactions on Mathematical Software 1 Journal of Computational and Applied Mathematics 1 Journal of Symbolic Computation 1 Applicable Algebra in Engineering, Communication and Computing all top 5 Cited in 7 Fields 6 Numerical analysis (65-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Number theory (11-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Computer science (68-XX) Citations by Year