A Componentwise Perturbation Analysis of the $QR$ Decomposition

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1993 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Matrix Analysis and Applications, volume 14, pages 1,124-1,131 (issn: 0895-4798, eissn: 1095-7162,

Copyright policy )

Authors: Hong Yuan Zha;

doi: 10.1137/0614076

A Componentwise Perturbation Analysis of the $QR$ Decomposition

- Summary
- Subjects
- Metrics

Abstract

A componentwise perturbation analysis of the QR decomposition is given. The bounds derived are invariant under column scaling of the underlying matrix. The results are applied to assess the accuracy of the computed QR decomposition using Householder transformations.

Keywords

column scaling, QR decomposition, perturbation analysis, Householder transformations, Direct numerical methods for linear systems and matrix inversion

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	19
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average