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• W2767394883 abstract "We consider the computation of a few eigenpairs of a generalized eigenvalue problem Ax=λBx with block-tridiagonal matrices, not necessarily symmetric, in the context of Krylov methods. In this kind of computation, it is often necessary to solve a linear system of equations in each iteration of the eigensolver, for instance when B is not the identity matrix or when computing interior eigenvalues with the shift-and-invert spectral transformation. In this work, we aim to compare different direct linear solvers that can exploit the block-tridiagonal structure. Block cyclic reduction and the Spike algorithm are considered. A parallel implementation based on MPI is developed in the context of the SLEPc library. The use of GPU devices to accelerate local computations shows to be competitive for large block sizes." @default.
• W2767394883 created "2017-11-17" @default.
• W2767394883 creator A5030239210 @default.
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• W2767394883 date "2018-05-01" @default.
• W2767394883 modified "2023-09-27" @default.
• W2767394883 title "MPI-CUDA parallel linear solvers for block-tridiagonal matrices in the context of SLEPc’s eigensolvers" @default.
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• W2767394883 doi "https://doi.org/10.1016/j.parco.2017.11.006" @default.
• W2767394883 hasPublicationYear "2018" @default.
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