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A Generalization of the Schur Complement by Means of the Moore–Penrose Inverse

✍ Scribed by Carlson, David; Haynsworth, Emilie; Markham, Thomas


Book ID
118195632
Publisher
Society for Industrial and Applied Mathematics
Year
1974
Tongue
English
Weight
555 KB
Volume
26
Category
Article
ISSN
0036-1399

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📜 SIMILAR VOLUMES


The Moore–Penrose inverse of a factoriza
✍ Pedro Patrı́cio 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 99 KB

In this paper, we consider the product of matrices P AQ, where A is von Neumann regular and there exist P and Q such that P P A = A = AQQ . We give necessary and sufficient conditions in order to P AQ be Moore-Penrose invertible, extending known characterizations. Finally, an application is given to