Approximate rational arithmetics and arbitrary precision computations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2001
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| Subjects: | |
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| _version_ | 1866912655225126912 |
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| author | Litvinov, Grigori Rodionov, Anatoli Chourkin, Andrei |
| author_facet | Litvinov, Grigori Rodionov, Anatoli Chourkin, Andrei |
| contents | We describe an approximate rational arithmetic with round-off errors (both absolute and relative) controlled by the user. The rounding procedure is based on the continued fraction expansion of real numbers. Results of computer experiments are given in order to compare efficiency and accuracy of different types of approximate arithmetics and rounding procedures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0101152 |
| institution | arXiv |
| publishDate | 2001 |
| record_format | arxiv |
| spellingShingle | Approximate rational arithmetics and arbitrary precision computations Litvinov, Grigori Rodionov, Anatoli Chourkin, Andrei Numerical Analysis We describe an approximate rational arithmetic with round-off errors (both absolute and relative) controlled by the user. The rounding procedure is based on the continued fraction expansion of real numbers. Results of computer experiments are given in order to compare efficiency and accuracy of different types of approximate arithmetics and rounding procedures. |
| title | Approximate rational arithmetics and arbitrary precision computations |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/math/0101152 |