Performance evaluation of accelerated real and complex multiple-precision sparse matrix-vector multiplication
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917877329690624 |
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| author | Kouya, Tomonori |
| author_facet | Kouya, Tomonori |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_17510 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Performance evaluation of accelerated real and complex multiple-precision sparse matrix-vector multiplication Kouya, Tomonori Numerical Analysis Performance 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. |
| title | Performance evaluation of accelerated real and complex multiple-precision sparse matrix-vector multiplication |
| topic | Numerical Analysis Performance |
| url | https://arxiv.org/abs/2412.17510 |