We demonstrate new routines for sparse multivariate polynomial multiplication and division over the integers that we have integrated into Maple 14 through the expand and divide commands. These routines are currently the fastest available, and the multiplication routine is parallelized with superlinear speedup. The performance of Maple is significantly improved. We describe our polynomial data structure and compare it with Maple’s. The
Polynomials may be represented sparsely in an effort to conserve memory usage and provide a succinct...
AbstractWe observe that polynomial evaluation and interpolation can be performed fast over a multidi...
AbstractIn this paper, several algorithms for the matrix polynomial division are taken into consider...
We provide a comprehensive presentation of algorithms, data structures, and implementation technique...
How should one design and implement a program for the multiplication of sparse polynomials? This is ...
Given two multivariate polynomials A and B with integer coefficientswe present a new GCD algorithm w...
AbstractWe investigate the integration of C implementation of fast arithmetic operations into Maple,...
Abstract. We present a highly scalable algorithm for multiplying sparse multivariate polynomials rep...
In this paper we present various algorithms for multiplying multivariate polynomials and series. All...
AbstractA new algorithm for sparse multivariate polynomial interpolation is presented. It is a multi...
We present a high performance algorithm for multiplying sparse distributed polynomials using a multi...
AbstractThis paper examines the most efficient known serial and parallel algorithms for multiplying ...
Abstract. A common way of implementing multivariate polynomial multiplication and division is to rep...
In symbolic computation, polynomial multiplication is a fundamental operation akin to matrix multipl...
International audienceWe propose a new algorithm for multiplying dense polynomials with integer coef...
Polynomials may be represented sparsely in an effort to conserve memory usage and provide a succinct...
AbstractWe observe that polynomial evaluation and interpolation can be performed fast over a multidi...
AbstractIn this paper, several algorithms for the matrix polynomial division are taken into consider...
We provide a comprehensive presentation of algorithms, data structures, and implementation technique...
How should one design and implement a program for the multiplication of sparse polynomials? This is ...
Given two multivariate polynomials A and B with integer coefficientswe present a new GCD algorithm w...
AbstractWe investigate the integration of C implementation of fast arithmetic operations into Maple,...
Abstract. We present a highly scalable algorithm for multiplying sparse multivariate polynomials rep...
In this paper we present various algorithms for multiplying multivariate polynomials and series. All...
AbstractA new algorithm for sparse multivariate polynomial interpolation is presented. It is a multi...
We present a high performance algorithm for multiplying sparse distributed polynomials using a multi...
AbstractThis paper examines the most efficient known serial and parallel algorithms for multiplying ...
Abstract. A common way of implementing multivariate polynomial multiplication and division is to rep...
In symbolic computation, polynomial multiplication is a fundamental operation akin to matrix multipl...
International audienceWe propose a new algorithm for multiplying dense polynomials with integer coef...
Polynomials may be represented sparsely in an effort to conserve memory usage and provide a succinct...
AbstractWe observe that polynomial evaluation and interpolation can be performed fast over a multidi...
AbstractIn this paper, several algorithms for the matrix polynomial division are taken into consider...