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
This thesis examines the algorithmic and practical challenges of solving systems of polynomial equat...
Sparse polynomial interpolation consists in recovering of a sparse representation of a polynomial P ...
The problem of interpolating a sparse polynomial has always been one of the central objects of resea...
International audienceThe Basic Polynomial Algebra Subprograms (BPAS) provides arithmetic operations...
We provide a comprehensive presentation of algorithms, data structures, and implementation technique...
Polynomial multiplication is as close to any problem comes to being “classical” in the field of comp...
The research presented focuses on optimization of polynomials using algebraic manipulations at the h...
A general class of polynomials is defined which includes as subcases sparse and dense polynomials. F...
Polynomials may be represented sparsely in an effort to conserve memory usage and provide a succinct...
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...
With the advent of hardware accelerator technologies, multi-core processors and GPUs, much effort fo...
Algorithms are developed that adopt a novel implicit representation for multivariate polynomials and...
AbstractA new algorithm for sparse multivariate polynomial interpolation is presented. It is a multi...
There are discussed implementational aspects of the special-purpose computer algebra system FELIX de...
This thesis examines the algorithmic and practical challenges of solving systems of polynomial equat...
Sparse polynomial interpolation consists in recovering of a sparse representation of a polynomial P ...
The problem of interpolating a sparse polynomial has always been one of the central objects of resea...
International audienceThe Basic Polynomial Algebra Subprograms (BPAS) provides arithmetic operations...
We provide a comprehensive presentation of algorithms, data structures, and implementation technique...
Polynomial multiplication is as close to any problem comes to being “classical” in the field of comp...
The research presented focuses on optimization of polynomials using algebraic manipulations at the h...
A general class of polynomials is defined which includes as subcases sparse and dense polynomials. F...
Polynomials may be represented sparsely in an effort to conserve memory usage and provide a succinct...
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...
With the advent of hardware accelerator technologies, multi-core processors and GPUs, much effort fo...
Algorithms are developed that adopt a novel implicit representation for multivariate polynomials and...
AbstractA new algorithm for sparse multivariate polynomial interpolation is presented. It is a multi...
There are discussed implementational aspects of the special-purpose computer algebra system FELIX de...
This thesis examines the algorithmic and practical challenges of solving systems of polynomial equat...
Sparse polynomial interpolation consists in recovering of a sparse representation of a polynomial P ...
The problem of interpolating a sparse polynomial has always been one of the central objects of resea...