Although numerical computation is very fast, however, the results may not be accurate due to the accumulation of rounding errors. Consequently, much research has focussed on ways to verifying the accuracy of approximate solutions. Floating-point filters are one such technique. These can, for example, be used to guarantee the signs of computed results, such as those of the matrix determinants that are so important in the computational geometry field. In this paper, we extend floating-point filters to guarantee absolute and relative errors.
|ジャーナル||Journal of Physics: Conference Series|
|出版ステータス||Published - 2019 5月 31|
|イベント||3rd International Conference on Mathematics; Pure, Applied and Computation, ICoMPAC 2018 - Surabaya, Indonesia|
継続期間: 2018 10月 20 → …
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