コウヤ　トモノリ   Tomonori Kouya   幸谷　智紀    所属   追手門学院大学  理工学部 数理・データサイエンス学科    職種   教授
言語種別	英語
発行・発表の年月	2019/06
形態種別	外国学術誌（First author）
査読	査読あり
標題	Performance evaluation of an efficient double-double BLAS1 function with error-free transformation and its application to explicit extrapolation methods
執筆形態	単著
掲載誌名	2019 IEEE 26th Symposium on Computer Arithmetic (ARITH)
掲載区分	国外
巻・号・頁	26,pp.120-123
著者・共著者	KOUYA Tomonori
概要	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.
DOI	10.1109/ARITH.2019.00032
PermalinkURL	http://arith26.arithsymposium.org