𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Expression for the perturbation of the weighted Moore-Penrose inverse

✍ Scribed by Yimin Wei; Hebing Wu

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
310 KB
Volume
39
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

We consider the perturbation formula for the weighted Moore-Penrose inverse of a rectangular matrix and give an explicit expression for the weighted Moore-Penrose inverse of a perturbed matrix under the weakest rank condition. This explicit expression extends the earlier work of several authors. (~) 2000 Elsevier Science Ltd. All rights reserved.

πŸ“œ SIMILAR VOLUMES

On level-2 condition number for the weig
On level-2 condition number for the weighted Moore–Penrose inverse
✍ Lijing Lin; Tzon-Tzer Lu; Yimin Wei πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 277 KB

In this paper, we present characterizations for the level-2 condition number of the weighted Moore-Penrose inverse, i.e., where cond M N (A) is the condition number of the weighted Moore-Penrose inverse of a rectangular matrix and cond [2] M N (A) is the level-2 condition number of this problem. Th

Minors of the Moore-Penrose inverse
Minors of the Moore-Penrose inverse
✍ Jianming Miao; Adi Ben-Israel πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 709 KB