Name
Abstract | ||
|---|---|---|
A theorem related to the accumulation of Householder transformations into a single orthogonal transformation known as the compact WY transform is presented. It provides a simple characterization of the computation of this transformation and suggests an alternative algorithm for computing it. It also suggests an alternative transformation, the UT transform, with the same utility as the compact WY Transform which requires less computation and has similar stability properties. That alternative transformation was first published over a decade ago but has gone unnoticed by the community. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1145/1141885.1141886 | ACM Trans. Math. Softw. |
Keywords | Field | DocType |
alternative transformation,householder transformation,simple characterization,similar stability property,linear algebra,compact wy transform,compact wy,alternative algorithm,qr factorization,single orthogonal transformation,accumulating householder transformation,orthogonal transformation | Linear algebra,Orthogonal transformation,Algebra,Pure mathematics,Householder transformation,QR decomposition,Mathematics,Computation | Journal |
Volume | Issue | ISSN |
32 | 2 | 0098-3500 |
Citations | PageRank | References |
8 | 0.65 | 5 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Thierry Joffrain | 1 | 21 | 2.17 |
| Tze Meng Low | 2 | 146 | 19.62 |
| Enrique S. Quintana-Ortí | 3 | 1317 | 150.59 |
| Robert A. van de Geijn | 4 | 2047 | 203.08 |
| Field G. Van Zee | 5 | 312 | 23.19 |