计算机科学 ›› 2017, Vol. 44 ›› Issue (4): 197-201.doi: 10.11896/j.issn.1002-137X.2017.04.043
王明清,李明,张清,张广勇,吴韶华
WANG Ming-qing, LI Ming, ZHANG Qing, ZHANG Guang-yong and WU Shao-hua
摘要： 广义极小残量法(GMRES)是最常用的求解非对称大规模稀疏线性方程组的方法之一,其收敛速度快且稳定性良好。Intel Xeon Phi众核协处理器(MIC)具有计算能力强、易编程、易移植等特点。采用MPI+OpenMP+offload混合编程模型将GMRES算法移植到MIC集群平台上。采用进程间集合通信异步隐藏、数据传输优化、向量化以及线程亲和性优化等多种手段,大幅提升了GMRES算法的求解效率。最后将并行算法应用到“局部径向基函数求解高维偏微分方程”问题的求解中。测试表明,CPU节点集群上开启32个进程,并行效率高达71.74%,4块MIC卡的最高加速性能可达单颗CPU的7倍。
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