Particular formulae for the Moore-Penrose inverses of the partitioned bounded linear operators
✍ Scribed by Qingxiang Xu; Xiaoxia Hu
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 109 KB
- Volume
- 428
- Category
- Article
- ISSN
- 0024-3795
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📜 SIMILAR VOLUMES
A number of operator inclusions, and identities, involving the Moore-Penrose inverse of a closed densely defined linear operator, are presented. Some of these inclusions generalize known identities in the case when the operator is bounded and has closed range. An application to a known compactness c
Consider an arbitrary symmetric nonnegative de®nite matrix A and its Moore± Penrose inverse A , partitioned, respectively as
Formulae for the Moore-Penrose inverse M + of rank-one-modifications of a given m × n complex matrix A to the matrix M = A + bc \* , where b and c \* are nonzero m × 1 and 1 × n complex vectors, are revisited. An alternative to the list of such formulae, given by Meyer [SIAM J. Appl. Math. 24 (1973)