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New perturbation bounds for the hyperbolic QR factorization
LI Hanyu 1,YANG Hu 1,SHAO Hua 2
1.Department of Mathematics and Statistics, Chongqing University
2.Department of Mathematics and Physics, Chongqing University ofScience and Technology
*Correspondence author
#Submitted by
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Funding: Natural Science Foundation Project of CQ CSTC （No.2010BB9215）, the Third Stage Training of the ``211 Project（No.S-09110）
Opened online:11 May 2011
Accepted by: none
Citation: LI Hanyu,YANG Hu,SHAO Hua.New perturbation bounds for the hyperbolic QR factorization[OL]. [11 May 2011] http://en.paper.edu.cn/en_releasepaper/content/4425384
 
 
The hyperbolic QR factorization is a generalization of the classical QR factorization, and can be regarded as the triangular case of the indefinite QR factorization proposed by Sanja Singer and Sasa Singer. In this paper, the perturbation analysis for the hyperbolic QR factorization is considered and some first order normwise perturbation bounds are derived. Two bounds of them are the same as the previous ones. In comparison, the derivation process in this paper is more concise. The other bounds improve these two bounds greatly.
Keywords:Numerical algebra; Hyperbolic QR factorization; J-orthogonal matrix; Perturbation bound
 
 
 

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