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Accelerating Nuclear Configuration Interaction Calculations through a Preconditioned Block Iterative Eigensolver

机译:通过一个加速核配置交互计算   预处理块迭代Eigensolver

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摘要

We describe a number of recently developed techniques for improving theperformance of large-scale nuclear configuration interaction calculations onhigh performance parallel computers. We show the benefit of using apreconditioned block iterative method to replace the Lanczos algorithm that hastraditionally been used to perform this type of computation. The rapidconvergence of the block iterative method is achieved by a proper choice ofstarting guesses of the eigenvectors and the construction of an effectivepreconditioner. These acceleration techniques take advantage of specialstructure of the nuclear configuration interaction problem which we discuss indetail. The use of a block method also allows us to improve the concurrency ofthe computation, and take advantage of the memory hierarchy of modernmicroprocessors to increase the arithmetic intensity of the computationrelative to data movement. We also discuss implementation details that arecritical to achieving high performance on massively parallel multi-coresupercomputers, and demonstrate that the new block iterative solver is two tothree times faster than the Lanczos based algorithm for problems of moderatesizes on a Cray XC30 system.
机译:我们描述了许多最新开发的技术,用于提高高性能并行计算机上大规模核配置相互作用计算的性能。我们展示了使用预处理的块迭代方法代替传统上已用于执行这种类型的计算的Lanczos算法的好处。块迭代方法的快速收敛是通过适当选择特征向量的开始猜测和构造有效的预处理器来实现的。这些加速技术利用了我们详细讨论的核结构相互作用问题的特殊结构。块方法的使用还使我们能够提高计算的并发性,并利用现代微处理器的存储器层次结构来增加相对于数据移动的计算的算术强度。我们还讨论了对于在大规模并行多核超级计算机上实现高性能至关重要的实现细节,并证明了针对Cray XC30系统中中等大小的问题,新的块迭代求解器的速度比基于Lanczos的算法快两倍至三倍。

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