Solving sparse linear equations over finite fields
IEEE Transactions on Information Theory
On fast multiplication of polynomials over arbitrary algebras
Acta Informatica
Solving homogeneous linear equations over GF(2) via block Wiedemann algorithm
Mathematics of Computation
Factoring high-degree polynomials by the black box Berlekamp algorithm
ISSAC '94 Proceedings of the international symposium on Symbolic and algebraic computation
Mathematics of Computation
Modern computer algebra
On Wiedemann's Method of Solving Sparse Linear Systems
AAECC-9 Proceedings of the 9th International Symposium, on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Finite field linear algebra subroutines
Proceedings of the 2002 international symposium on Symbolic and algebraic computation
On the complexity of polynomial matrix computations
ISSAC '03 Proceedings of the 2003 international symposium on Symbolic and algebraic computation
A block Wiedemann rank algorithm
Proceedings of the 2006 international symposium on Symbolic and algebraic computation
A New Approach for Accelerating the Sparse Matrix-Vector Multiplication
SYNASC '06 Proceedings of the Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing
Parallel computation of the rank of large sparse matrices from algebraic K-theory
Proceedings of the 2007 international workshop on Parallel symbolic computation
Proceedings of the twenty-first international symposium on Symbolic and algebraic computation
Dense Linear Algebra over Word-Size Prime Fields: the FFLAS and FFPACK Packages
ACM Transactions on Mathematical Software (TOMS)
Proceedings of the twenty-first annual symposium on Parallelism in algorithms and architectures
Implementing sparse matrix-vector multiplication on throughput-oriented processors
Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis
Fast sparse matrix-vector multiplication by exploiting variable block structure
HPCC'05 Proceedings of the First international conference on High Performance Computing and Communications
Solving bivariate polynomial systems on a GPU
ACM Communications in Computer Algebra
Iterative sparse Matrix-Vector multiplication for integer factorization on GPUs
Euro-Par'11 Proceedings of the 17th international conference on Parallel processing - Volume Part II
Block Wiedemann algorithm on multicore architectures
ACM Communications in Computer Algebra
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We propose different implementations of the sparse matrix-dense vector multiplication (SpMV) for finite fields and rings Z /m Z. We take advantage of graphic card processors (GPU) and multi-core architectures. Our aim is to improve the speed of SpMV in the LinBox library, and henceforth the speed of its black-box algorithms. Besides, we use this library and a new parallelisation of the sigma-basis algorithm in a parallel block Wiedemann rank implementation over finite fields.