U.S.-France Cooperative Research: Theory and Practice of Parallel Linear Algebra in Computer Algebra

这一为期三年的奖项为美法合作研究计算机代数中的并行线性代数的理论和实践提供了支持。由特拉华大学的B.David Saunders和法国格勒诺布尔国家理工学院的Gilles Villard领导的研究小组参与了这项合作。目标是为符号线性代数中的一些问题开发并行解决方案。这些问题包括有限域上大型稀疏线性系统的解以及多项式域和整数域上矩阵标准型的计算。这两个小组在实施以及算法开发和分析方面具有互补的专业知识。该项目将为高性能计算产生一个有效的、可分发的代码。

This three-year award provides support for US-France cooperative research on the theory and practice of parallel linear algebra in computer algebra. The collaboration involves research groups led by B. David Saunders at the University of Delaware and Gilles Villard at the Institut National Polytechnique in Grenoble, France. The objective is to develop parallel solutions for a number of problems in symbolic linear algebra. These problems include the solution of large sparse linear systems over finite fields and the computation of matrix normal forms over polynomial domains and over integers. The groups have complementary expertise in implementation and in algorithm development and analysis. The project will produce an effective, distributable code for high performance computing.