Hanson, Richard J., Hopkins, Tim (2004) Algorithm 830: Another Visit With Standard and Modified Givens Transformations and A Remark on Algorithm 539. ACM Transactions on Mathematical Software, 30 (1). pp. 86-94. ISSN 0098-3500. (doi:10.1145/974781.974786) (KAR id:14202)
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| Official URL http://doi.acm.org/10.1145/974781.974786 |
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Abstract
First we report on a correction and improvement to the Level 1 Blas routine srotmg for computing the Modified Givens Transformation (MG). We then, in the light of the performance of the code on modern compiler/hardware combinations, reconsider the strategy of supplying separate routines to compute and apply the transformation. Finally, we show that the apparent savings in multiplies obtained by using MG rather than the Standard Givens Transformation (SG) do not always translate into reductions in execution time.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1145/974781.974786 |
| Uncontrolled keywords: | BLAS, Givens rotation, linear algebra, Fortran software |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming, |
| Divisions: | Faculties > Sciences > School of Computing > Systems Architecture Group |
| Depositing User: | Mark Wheadon |
| Date Deposited: | 24 Nov 2008 18:02 UTC |
| Last Modified: | 28 May 2019 13:51 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/14202 (The current URI for this page, for reference purposes) |
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