Efficient implementation of the overlap operator on multi-GPUs

W. E. Arnoldi, “The principle of minimized iteration in the solution of the matrix eigenvalue problem,” Quart. Appl. Math. , vol. 9, pp. 17–29, 1951

1951

Earlier work this paper cites.

D. C. Sorensen, “Implicit application of polynomial filters in a k k -step Arnoldi method,” SIAM J. on Matrix Analysis and Applications , vol. 13, no. 1, pp. 357–385, 1992

1992

Earlier work this paper cites.

B. Jegerlehner, “Krylov space solvers for shifted linear systems,” unpublished , 1996. [Online]. Available: http://arxiv.org/abs/hep-lat/9612014

1996

Earlier work this paper cites.

R. B. Lehoucq and D. C. Sorensen, “Deflation techniques for an implicitly restarted Arnoldi iteration,” SIAM J. Matrix Anal. Appl. , vol. 17, no. 4, pp. 789–821, 1996. [Online]. Available: http://dx.doi.org/10.1137/S0895479895281484

1996

Earlier work this paper cites.

H. Neuberger, “Exactly massless quarks on the lattice,” Phys.Lett. , vol. B417, pp. 141–144, 1998

1998

Earlier work this paper cites.

H. Neuberger, “Minimizing storage in implementations of the overlap lattice-Dirac operator,” Int. J. Mod. Phys. , vol. C10, pp. 1051–1058, 1999

1999

Earlier work this paper cites.

H. Neff, N. Eicker, T. Lippert, J. W. Negele, and K. Schilling, “On the low fermionic eigenmode dominance in QCD on the lattice,” Phys. Rev. , vol. D64, p. 114509, 2001

2001

Earlier work this paper cites.

T.-W. Chiu, T.-H. Hsieh, C.-H. Huang, and T.-R. Huang, “A note on the Zolotarev optimal rational approximation for the overlap Dirac operator,” Phys. Rev. , vol. D66, p. 114502, 2002

2002

Cited alongside, same era.

L. Giusti, C. Hoelbling, M. Luscher, and H. Wittig, “Numerical techniques for lattice QCD in the epsilon regime,” Comput.Phys.Commun. , vol. 153, pp. 31–51, 2003

2003

Cited alongside, same era.

T.-W. Chiu and T.-H. Hsieh, “A note on Neuberger’s double pass algorithm,” Phys. Rev. , vol. E68, p. 066704, 2003

2003

Cited alongside, same era.

E. Gabriel, G. E. Fagg, G. Bosilca, T. Angskun, J. J. Dongarra, J. M. Squyres, V. Sahay, P. Kambadur, B. Barrett, A. Lumsdaine, R. H. Castain, D. J. Daniel, R. L. Graham, and T. S. Woodall, “Open MPI: Goals, concept, and design of a next generation MPI implementation,” in Proceedings, 11th European PVM/MPI Users’ Group Meeting , Budapest, Hungary, September 2004, pp. 97–104

2004

Cited alongside, same era.

MPI Forum, “ MPI

2009

Later among the works it cites.

M. A. Clark, R. Babich, K. Barros, R. C. Brower, and C. Rebbi, “Solving Lattice QCD systems of equations using mixed precision solvers on GPUs,” Comput. Phys. Commun. , vol. 181, pp. 1517–1528, 2010

2010

Later among the works it cites.

R. Babich, M. A. Clark, and B. Joo, “Parallelizing the QUDA Library for Multi-GPU Calculations in Lattice Quantum Chromodynamics,” 2010

2010

Later among the works it cites.

A. Li et al. , “Overlap Valence on 2+1 Flavor Domain Wall Fermion Configurations with Deflation and Low-mode Substitution,” Phys.Rev. , vol. D82, p. 114501, 2010

2010

Later among the works it cites.

NVIDIA Corporation, “Cuda programming guide for cuda toolkit,” 2010. [Online]. Available: http://developer.nvidia.com/object/gpucomputing.html

2010

Later among the works it cites.