The Moore–Penrose inverse of a partitioned nonnegative definite matrix
✍ Scribed by Jürgen Groß
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 83 KB
- Volume
- 321
- Category
- Article
- ISSN
- 0024-3795
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✦ Synopsis
Consider an arbitrary symmetric nonnegative de®nite matrix A and its Moore± Penrose inverse A , partitioned, respectively as
📜 SIMILAR VOLUMES
If A is a boolean matrix, then the weighted Moore-Penrose inverse of A (with respect to the given matrices M, N) IS a matrix G which satisfies AGA = A, GAG = G, and that MAG and GAN are symmetric. Under certain conditions on M, N it is shown that the weighted Moore-Penrose inverse exists if and only
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