期刊
COMPUTER PHYSICS COMMUNICATIONS
卷 185, 期 6, 页码 1570-1581出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cpc.2014.02.021
关键词
Strongly correlated systems; DMRG; GPU acceleration; FPGA acceleration
资金
- Hungarian Research Fund (OTKA) [NN110360, K100908, K84267]
- [TAMOP-4.2.2.C-11/1/KONV-2012-0004]
- [TAMOP-4.2.1./B-11/2/KMR-2011-002]
- [TAMOP-4.2.2./B-10/1-2010-0014]
In the numerical analysis of strongly correlated quantum lattice models one of the leading algorithms developed to balance the size of the effective Hilbert space and the accuracy of the simulation is the density matrix renormalization group (DMRG) algorithm, in which the run-time is dominated by the iterative diagonalization of the Hamilton operator. As the most time-dominant step of the diagonalization can be expressed as a list of dense matrix operations, the DMRG is an appealing candidate to fully utilize the computing power residing in novel kilo-processor architectures. In the paper a smart hybrid CPU GPU implementation is presented, which exploits the power of both CPU and GPU and tolerates problems exceeding the GPU memory size. Furthermore, a new CUDA kernel has been designed for asymmetric matrix vector multiplication to accelerate the rest of the diagonalization. Besides the evaluation of the GPU implementation, the practical limits of an FPGA implementation are also discussed. (C) 2014 Elsevier B.V. All rights reserved.
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