Abstract
Two-step Gram-Schmidt downdating methods were proposed for the the QR factorization. It showed that it is important that Gram-Schmidt procedures recover both the residual r and solution f. The vector f must be used in the downdating process to maintain good backward error in the new factorization. The new algorithms were proposed based on this observation.
Original language | English (US) |
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Pages (from-to) | 273-284 |
Number of pages | 12 |
Journal | Proceedings of SPIE - The International Society for Optical Engineering |
Volume | 4474 |
DOIs | |
State | Published - Jan 1 2001 |
All Science Journal Classification (ASJC) codes
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Computer Science Applications
- Applied Mathematics
- Electrical and Electronic Engineering