New perturbation bounds for unitary polar factors
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 362-372 |
| Journal / Publication | SIAM Journal on Matrix Analysis and Applications |
| Volume | 25 |
| Issue number | 2 |
| Publication status | Published - 2004 |
Link(s)
Abstract
In this paper, we present some new perturbation bounds for polar decompositions in the Frobenius norm. We prove that under any active condition of the perturbation being small, our bounds always improve previous bounds. Some perturbation bounds in the spectral norm and general unitarily invariant norms are also given.
Research Area(s)
- Perturbation bound, Polar decomposition, Singular value decomposition
Citation Format(s)
New perturbation bounds for unitary polar factors. / Li, Wen; Sun, Weiwei.
In: SIAM Journal on Matrix Analysis and Applications, Vol. 25, No. 2, 2004, p. 362-372.
In: SIAM Journal on Matrix Analysis and Applications, Vol. 25, No. 2, 2004, p. 362-372.
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
