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Sensitivity analysis for the symplectic QR factorization.

Authors :
Li, Wen
Xie, Ze-Jia
Vong, Seak-Weng
Source :
Journal of the Franklin Institute. Mar2016, Vol. 353 Issue 5, p1186-1205. 20p.
Publication Year :
2016

Abstract

In this paper, we give the sensitivity analysis for an implicit Bunch form of the symplectic QR factorization. In particular, we present some new first order normwise perturbation bounds for R - and Q -factors and propose the normwise condition numbers appropriately for two factors. Some numerical examples are given to demonstrate the theoretical results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00160032
Volume :
353
Issue :
5
Database :
Academic Search Index
Journal :
Journal of the Franklin Institute
Publication Type :
Periodical
Accession number :
113539943
Full Text :
https://doi.org/10.1016/j.jfranklin.2015.03.038