Iterative diagonalization of symmetric matrices in mixed precision

Details Iterative diagonalization of symmetric matrices in mixed precision Iterative diagonalization of symmetric matrices in mixed precision

2011-08-23

arxiv.org/abs/1108.4509v1

Physics

Computational Physics

10 pages, 7 figures

Scientific paper

Diagonalization of a large matrix is the computational bottleneck in many applications such as electronic structure calculations. We show that a speedup of over 30% can be achieved by exploiting 32-bit floating point operations, while keeping 64-bit accuracy. Moreover, most of the computationally expensive operations are performed by level-3 BLAS/LAPACK routines in our implementation, thus leading to optimal performance on most platforms. Further improvement can be made by using problem-specific preconditioners which take into account nondiagonal elements.

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