International audienceThe Basic Polynomial Algebra Subprograms (BPAS) provides arithmetic operations (multiplication, division, root isolation, etc.) for univariate and multivariate polynomials over common types of coefficients (prime fields, complex rational numbers, rational functions, etc.). The code is mainly written in CilkPlus [10] targeting multicore processors. The current distribution focuses on dense polynomials and the sparse case is work in progress. A strong emphasis is put on adaptive algorithms as the library aims at supporting a wide variety of situations in terms of problem sizes and available computing resources. The BPAS library is publicly available in source at www.bpaslib.org
AbstractSMP-based parallel algorithms and implementationsfor polynomial factoring and GCD are overvi...
How should one design and implement a program for the multiplication of sparse polynomials? This is ...
In this paper we present various algorithms for multiplying multivariate polynomials and series. All...
International audienceThe Basic Polynomial Algebra Subprograms (BPAS) provides arithmetic operations...
We provide a comprehensive presentation of algorithms, data structures, and implementation technique...
International audienceWe propose a new algorithm for multiplying dense polynomials with integer coef...
With the advent of hardware accelerator technologies, multi-core processors and GPUs, much effort fo...
The RegularChains library in Maple offers a collection of commands for solving polynomial systems sy...
Polynomials may be represented sparsely in an effort to conserve memory usage and provide a succinct...
This thesis examines the algorithmic and practical challenges of solving systems of polynomial equat...
International audienceWe describe the software package borderbasix dedicated to the computation of b...
International audienceAlgebraic algorithms deal with numbers, vectors, matrices, polynomials, formal...
The research presented focuses on optimization of polynomials using algebraic manipulations at the h...
With the advent of hardware accelerator technologies, multi-core processors and GPUs, much effort fo...
AbstractThis paper examines the most efficient known serial and parallel algorithms for multiplying ...
AbstractSMP-based parallel algorithms and implementationsfor polynomial factoring and GCD are overvi...
How should one design and implement a program for the multiplication of sparse polynomials? This is ...
In this paper we present various algorithms for multiplying multivariate polynomials and series. All...
International audienceThe Basic Polynomial Algebra Subprograms (BPAS) provides arithmetic operations...
We provide a comprehensive presentation of algorithms, data structures, and implementation technique...
International audienceWe propose a new algorithm for multiplying dense polynomials with integer coef...
With the advent of hardware accelerator technologies, multi-core processors and GPUs, much effort fo...
The RegularChains library in Maple offers a collection of commands for solving polynomial systems sy...
Polynomials may be represented sparsely in an effort to conserve memory usage and provide a succinct...
This thesis examines the algorithmic and practical challenges of solving systems of polynomial equat...
International audienceWe describe the software package borderbasix dedicated to the computation of b...
International audienceAlgebraic algorithms deal with numbers, vectors, matrices, polynomials, formal...
The research presented focuses on optimization of polynomials using algebraic manipulations at the h...
With the advent of hardware accelerator technologies, multi-core processors and GPUs, much effort fo...
AbstractThis paper examines the most efficient known serial and parallel algorithms for multiplying ...
AbstractSMP-based parallel algorithms and implementationsfor polynomial factoring and GCD are overvi...
How should one design and implement a program for the multiplication of sparse polynomials? This is ...
In this paper we present various algorithms for multiplying multivariate polynomials and series. All...