GPU Acceleration for Hermitian Eigensystems
作者： Michael T. Garba , Horacio González–Vélez , Daniel L. Roach
DOI: 10.1007/978-3-642-38496-7_10
关键词:
摘要: As a recurrent problem in numerical analysis and computational science, eigenvector eigenvalue determination usually employs high-performance linear algebra libraries. This paper explores the implementation of routines for solution multiple large Hermitian systems on Graphics Processing Unit (GPU). We report performance increase up to two orders magnitude over original \textscEispack with NVIDIA Tesla C2050 GPU, providing an effective order unit cell size or simulated resolution Inelastic Neutron Scattering (INS) modelling from atomistic simulations.
springer.com
core.ac.uk
sci-hub.st 参考文章(25)
H. Rutishauser, Handbook for Automatic Computation Springer Berlin Heidelberg. ,(1967) , 10.1007/978-3-642-86934-1
Sain-Zee Ueng, Melvin Lathara, Sara S. Baghsorkhi, Wen-mei W. Hwu, CUDA-Lite: Reducing GPU Programming Complexity languages and compilers for parallel computing. pp. 1- 15 ,(2008) , 10.1007/978-3-540-89740-8_1
Jack J. Dongarra, Danny C. Sorensen, Henk A. Vander Vorst, Lain S. Duff, Numerical Linear Algebra for High-Performance Computers ,(1998)
Wen-mei W. Hwu, David B. Kirk, Programming Massively Parallel Processors: A Hands-on Approach Morgan Kaufmann. ,(2012)
F. Vázquez, J. J. Fernández, E. M. Garzón, A new approach for sparse matrix vector product on NVIDIA GPUs Concurrency and Computation: Practice and Experience. ,vol. 23, pp. 815- 826 ,(2011) , 10.1002/CPE.1658
Michael T. Garba, Horacio Gonzalez-Velez, Towards ad-hoc GPU acceleration of parallel eigensystem computations 25th Conference on Modelling and Simulation. pp. 534- 538 ,(2011) , 10.7148/2011-0534-0538
E W Bethel, J van Rosendale, D Southard, K Gaither, H Childs, E Brugger, S Ahern, Visualization at Supercomputing Centers: The Tale of Little Big Iron and the Three Skinny Guys IEEE Computer Graphics and Applications. ,vol. 31, pp. 90- 95 ,(2011) , 10.1109/MCG.2011.13
Brian T. Smith, Matrix Eigensystem Routines - Eispack Guide ,(1974)
B. P., J. H. Wilkinson, C. Reinsch, Handbook for Automatic Computation. Vol II, Linear Algebra Mathematics of Computation. ,vol. 27, pp. 670- ,(1973) , 10.2307/2005673
John Nickolls, Ian Buck, Michael Garland, Kevin Skadron, Scalable parallel programming with CUDA ACM SIGGRAPH 2008 classes on - SIGGRAPH '08. ,vol. 6, pp. 40- 53 ,(2008) , 10.1145/1401132.1401152