Hierarchical low-rank approximation of dense matrices can reduce the complexity of their factorization from O ( N 3 ) to O ( N ) .
ULV factorization for solving dense linear systems on GPUs
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In this work, we show that dense matrices can be factorized with linear complexity, while extracting the potential parallelism of GPUs. This is made possible ...
An inherently parallel ℋ2-ULV factorization for solving dense linear systems on GPUs ... ULV factorization, which removes the dependency on trailing sub-matrices.
We present a distributed-memory library for computations with dense structured matrices. A matrix is considered structured if its off-diagonal blocks can be ...
Yokota, “An Inherently Par- allel H2-ULV Factorization for Solving. Dense Linear Systems on GPUs”, In- ternational Journal of High Performance. Computing ...
An inherently parallel ℋ2-ULV factorization for solving dense linear systems on GPUs. The International Journal of High Performance Computing Applications ...
Aug 12, 2022 · We introduce algorithms for factorizing HODLR matrices and for applying the factorizations on a GPU. The algorithms leverage the efficiency of ...
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Here, we develop a set of novel parallel algorithms for key HSS operations that are used for solving large linear systems. These are parallel rank-revealing QR ...
Missing: inherently GPUs.
Aug 23, 2022 · An inherently parallel ℋ 2 -ULV factorization for solving dense linear systems on GPUs. April 2024 · The International Journal of High ...
We introduce parallel creating member union algorithm, tailored specifically for GPU. This algorithm harnesses the fine-grained parallelism inherent in creating ...