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ROUNDING ERROR ANALYSIS OF MIXED PRECISION BLOCK HOUSEHOLDER QR ALGORITHMS.
- Source :
- SIAM Journal on Scientific Computing; 2021, Vol. 43 Issue 3, pA1723-A1753, 31p
- Publication Year :
- 2021
-
Abstract
- Although mixed precision arithmetic has recently garnered interest for training dense neural networks, many other applications could benefit from the speedups and lower storage cost if applied appropriately. The growing interest in employing mixed precision computations motivates the need for rounding error analysis that properly handles behavior from mixed precision arithmetic. We develop mixed precision variants of existing Householder QR algorithms and show error analyses supported by numerical experiments. [ABSTRACT FROM AUTHOR]
- Subjects :
- ALGORITHMS
NUMERICAL analysis
ARITHMETIC
Subjects
Details
- Language :
- English
- ISSN :
- 10648275
- Volume :
- 43
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- SIAM Journal on Scientific Computing
- Publication Type :
- Academic Journal
- Accession number :
- 151374848
- Full Text :
- https://doi.org/10.1137/19M1296367