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The optimal perturbation bounds of the Moore–Penrose inverse under the Frobenius norm

✍ Scribed by Lingsheng Meng; Bing Zheng


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
143 KB
Volume
432
Category
Article
ISSN
0024-3795

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📜 SIMILAR VOLUMES


Expression for the perturbation of the w
✍ 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. (~)