A new algorithm of Demmel et al. for computing the singular value decomposition (SVD) to high relative accuracy begins by computing a rank-revealing decomposition (RRD). Demmel et al. analyse the use of Gaussian elimination with complete pivoting (GECP) for computing the RRD. We investigate the use
The behavior of the QR-factorization algorithm with column pivoting
โ Scribed by H. Engler
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 375 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0893-9659
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๐ SIMILAR VOLUMES
We extend ;l result of Klee anC Minty by showing that the Simplex Alp,orithm with the pivot rule of maximizing criterion ixrip;ovement is not a good algorithm in the sense of Edmonas. The method of proof extends to other similar pivot rules. \* Original version rlzceived 7 July 3.97 1. \* As Klee a
There is an error in the indices in the description of Algorithm 1 on p. 179. We correct the algorithm below. The rest of the paper is consistent with the corrected algorithm. If we let A ~\*) represent the updated matrix at the kth step of Gaussian elimination and if we let a}~ ) be its entries, th