Accurate matrix multiplication by using level 3 BLAS operation

Publikationstyp
Conference Paper
Publikationsdatum
2008
Sprache
English
Author
Ozaki, Katsuhisa 
Ogita, Takeshi 
Rump, Siegfried M. orcid-logo
Oishi, Shin’ichi 
Institut
Zuverlässiges Rechnen E-19 
TORE-URI
http://hdl.handle.net/11420/8569
Start Page
508
End Page
511
Citation
Proceedings of the 2008 International Symposium on Nonlinear Theory and its Applications, NOLTA'08, Budapest, Hungary, pages 508–511. IEICE, 2008
Contribution to Conference
2008 International Symposium on Nonlinear Theory and its Applications, NOLTA'08 
Publisher Link
https://www.ieice.org/publications/proceedings/session.php?expandable=11&iconf=NOLTA&year=2008
Publisher
IEICE
This paper is concerned with an accurate computation of matrix multiplication. Recently, an accurate summation algorithm was developed by Rump, Ogita and Oishi. One of the key techniques of their method is a new type of error-free splitting. To use this strategy, we investigate a method of obtaining an accurate result of matrix multiplication by mainly using Level 3 BLAS operation. Finally, we present numerical examples showing the e ectiveness of the proposal algorithm.
DDC Class
004: Informatik
510: Mathematik