Perturbation bounds of unitary and subunitary polar factors

Wen Li; Weiwei Sun

doi:10.1137/S0895479801394623

Author(s)

Wen Li
Weiwei Sun

Detail(s)

Original language	English
Pages (from-to)	1183-1193
Journal / Publication	SIAM Journal on Matrix Analysis and Applications
Volume	23
Issue number	4
Publication status	Published - 2002
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1137/S0895479801394623 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0036402575&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(09dfc097-96e0-4722-bf9e-1418565dde82).html

Abstract

In this paper, we present some new perturbation bounds for (generalized) polar decompositions under the Frobenius norm for both complex and real matrices. For subunitary polar factors, we show that our bounds always improve the existing bounds. Based on some interesting properties of the matrix equation W + W* = W*W, some new bounds involving both the Frobenius norm and the spectral norm of the perturbation are given. The optimality of bounds is discussed.

Research Area(s)

Generalized polar decomposition, Perturbation bound, Singular value

Citation Format(s)

[ RIS ] [ BibTeX ]

Perturbation bounds of unitary and subunitary polar factors. / Li, Wen; Sun, Weiwei.
In: SIAM Journal on Matrix Analysis and Applications, Vol. 23, No. 4, 2002, p. 1183-1193.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Li, W & Sun, W 2002, 'Perturbation bounds of unitary and subunitary polar factors', SIAM Journal on Matrix Analysis and Applications, vol. 23, no. 4, pp. 1183-1193. https://doi.org/10.1137/S0895479801394623

Li, W., & Sun, W. (2002). Perturbation bounds of unitary and subunitary polar factors. SIAM Journal on Matrix Analysis and Applications, 23(4), 1183-1193. https://doi.org/10.1137/S0895479801394623

Li W, Sun W. Perturbation bounds of unitary and subunitary polar factors. SIAM Journal on Matrix Analysis and Applications. 2002;23(4):1183-1193. doi: 10.1137/S0895479801394623

Li, Wen ; Sun, Weiwei. / Perturbation bounds of unitary and subunitary polar factors. In: SIAM Journal on Matrix Analysis and Applications. 2002 ; Vol. 23, No. 4. pp. 1183-1193.