Two-step Gram-Schmidt downdating methods

Jesse Louis Barlow, Alicja Smoktunowicz, Hasan Erbay

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)273-284
Number of pages12
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 2001

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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