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| 024 | 7 | _ | |a 10.21203/rs.3.rs-3574519/v1 |2 doi |
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| 041 | _ | _ | |a English |
| 082 | _ | _ | |a 620 |
| 100 | 1 | _ | |a Baumeister, Paul F |0 P:(DE-Juel1)156619 |b 0 |e Corresponding author |
| 245 | _ | _ | |a tfQMRgpu: A GPU-accelerated linear solver with block-sparse complex result matrix |
| 260 | _ | _ | |a Dordrecht [u.a.] |c 2023 |b Springer Science + Business Media B.V |
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| 520 | _ | _ | |a Linear solvers are a central component of many applications in physics and engineering. In this work we present a software package for simultaneously solving with multiple right-hand sides using the vast compute performance and memory bandwidth of graphical processors. Using the transpose-free quasi minimal residual method iterative linear solving does not require the implementation of an adjoint operator. This C++/CUDA software packet has two ways of being employed. The precompiled version of this library offers linear solving for single and double precision block-sparse complex matrices with interfaces to various programming languages, in particular C, Fortran, Python and Julia. Furthermore, the core algorithm is available for custom implementations of any linear operator as a C++ header-only library. We showcase a matrix-free approach of a custom operator for a finite-difference stencil application solving the three-dimensional Helmholtz equation and compare the performance of the matrix-free approach against the block-sparse matrix version, both on NVIDIA hardware. |
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| 773 | _ | _ | |a 10.21203/rs.3.rs-3574519/v1 |0 PERI:(DE-600)1479917-0 |x 0920-8542 |y 2023 |t The journal of supercomputing |
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