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arXiv · 2412.17510

Performance evaluation of accelerated real and complex multiple-precision sparse matrix-vector multiplication

Tomonori Kouya
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Abstract

Sparse matrices have recently played a significant and impactful role in scientific computing, including artificial intelligence-related fields. According to historical studies on sparse matrix--vector multiplication (SpMV), Krylov subspace methods are particularly sensitive to the effects of round-off errors when using floating-point arithmetic. By employing multiple-precision linear computation, convergence can be stabilized by reducing these round-off errors. In this paper, we present the performance of our accelerated SpMV using SIMD instructions, demonstrating its effectiveness through various examples, including Krylov subspace methods.

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BibTeXRIS

Tomonori Kouya. 2024-12-23. Performance evaluation of accelerated real and complex multiple-precision sparse matrix-vector multiplication. https://arxiv.org/abs/2412.17510

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