論文

査読有り
2019年6月

Performance evaluation of an efficient double-double BLAS1 function with error-free transformation and its application to explicit extrapolation methods

2019 IEEE 26th Symposium on Computer Arithmetic (ARITH)
  • 幸谷 智紀

26
開始ページ
120
終了ページ
123
記述言語
英語
掲載種別
研究論文(国際会議プロシーディングス)
DOI
10.1109/ARITH.2019.00032

Error-free transformation (EFT) has been recently applied to solve ill-conditioned problems. This transformation can reduce the number of arithmetic operations required compared to multiple precision arithmetic. In this study, we implement double-double (DD) BLAS1 functions with EFT and propose the application of the approach to explicit extrapolation methods for solving initial value problems of ordinary differential equations (ODEs). The presented routines can be effective for a large system of linear ODEs, especially when a harmonic sequence is used.

リンク情報
DOI
https://doi.org/10.1109/ARITH.2019.00032
URL
http://arith26.arithsymposium.org