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The representation and approximation for the weighted Moore–Penrose inverse in Hilbert space

✍ Scribed by Yimin Wei

Book ID
108395617
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
116 KB
Volume
136
Category
Article
ISSN
0096-3003

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📜 SIMILAR VOLUMES

Expression for the perturbation of the w
Expression for the perturbation of the weighted Moore-Penrose inverse
✍ Yimin Wei; Hebing Wu 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 310 KB

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. (~)

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 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 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