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Application of block Krylov subspace algorithms to the Wilson-Dirac equation with multiple right-hand sides in lattice QCD |
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| Authors: | T Sakurai Y Kuramashi |
| Affiliation: | a Department of Computer Science, University of Tsukuba, Tsukuba, Ibaraki 305-8573, Japan b Center for Computational Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan c Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan |
| Abstract: | It is well known that the block Krylov subspace solvers work efficiently for some cases of the solution of differential equations with multiple right-hand sides. In lattice QCD calculation of physical quantities on a given configuration demands us to solve the Dirac equation with multiple sources. We show that a new block Krylov subspace algorithm recently proposed by the authors reduces the computational cost significantly without losing numerical accuracy for the solution of the O(a)-improved Wilson-Dirac equation. |
| Keywords: | Lattice gauge theory Lattice Dirac equation Multiple right-hand sides Block Krylov subspace |
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