An optimal perturbation bound for the partial isometry associated to the generalized polar decomposition

Chunhong Fu and Qingxiang Xu

Applied Mathematics and Computation, 2020, vol. 372, issue C

Abstract: In terms of singular values and determinants, a new perturbation bound for partial isometry polar factor is derived and is proved to be optimal. The sharpness of this newly obtained perturbation bound is illustrated by numerical tests.

Keywords: Generalized polar decomposition; Partial isometry; Multiplicative perturbation; Frobenius norm (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300319309798
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:372:y:2020:i:c:s0096300319309798

DOI: 10.1016/j.amc.2019.124987

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().