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DOI | 10.1145/3061665 |
Safe Scaling in the Level 1 BLAS | |
Anderson, Edward | |
发表日期 | 2017-07-01 |
ISSN | 0098-3500 |
卷号 | 44期号:1 |
英文摘要 | The square root of a sum of squares is well known to be prone to overflow and underflow. Ad hoc scaling of intermediate results, as has been done in numerical software such as the BLAS and LAPACK, mostly avoids the problem, but it can still occur at extreme values in the range of representable numbers. More careful scaling, as has been implemented in recent versions of the standard algorithms, may come at the expense of performance or clarity. This work reimplements the vector 2-norm and the generation of Givens rotations from the Level 1 BLAS to improve their performance and design. In addition, support for negative increments is extended to the Level 1 BLAS operations on a single vector, and a comprehensive test suite for all the Level 1 BLAS is included. |
英文关键词 | Vector operation;sum of squares;Givens rotation |
语种 | 英语 |
WOS记录号 | WOS:000406422500012 |
来源期刊 | ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE |
来源机构 | 美国环保署 |
文献类型 | 期刊论文 |
条目标识符 | http://gcip.llas.ac.cn/handle/2XKMVOVA/62486 |
推荐引用方式 GB/T 7714 | Anderson, Edward. Safe Scaling in the Level 1 BLAS[J]. 美国环保署,2017,44(1). |
APA | Anderson, Edward.(2017).Safe Scaling in the Level 1 BLAS.ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE,44(1). |
MLA | Anderson, Edward."Safe Scaling in the Level 1 BLAS".ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 44.1(2017). |
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