Global approximation to the Boys functions for vectorized computation
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908439300538368 |
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| author | Laikov, Dimitri N. |
| author_facet | Laikov, Dimitri N. |
| contents | A fast approximation to the Boys functions (related to the lower incomplete gamma function of half-integer parameter) by a single closed-form analytical expression for all argument values have been developed and tested. Besides the exponential function needed anyway for downward recursion, it uses a small number of addition, multiplication, division, and square root operations, and thus is straightforward to vectorize. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07637 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global approximation to the Boys functions for vectorized computation Laikov, Dimitri N. Numerical Analysis A fast approximation to the Boys functions (related to the lower incomplete gamma function of half-integer parameter) by a single closed-form analytical expression for all argument values have been developed and tested. Besides the exponential function needed anyway for downward recursion, it uses a small number of addition, multiplication, division, and square root operations, and thus is straightforward to vectorize. |
| title | Global approximation to the Boys functions for vectorized computation |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2504.07637 |