Generalized Inverses of a Bordered Matrix of Operators
Author:
- Frank J. HallFHFrank J. Hall
- 1 July 1975
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Applied Mathematics
- Vol. 29 (1) , 152-163
Abstract
The results of Hall and Meyer in [2] are extended to (1)-inverses of a matrix of bounded linear operators. The blocks of $(1,3)$- and $(1,4)$-inverses of the matrix are completely characterized and are shown to be independent of each other. A form for the Moore–Penrose inverse of the matrix and related results are also obtained.Keywords
This publication has 4 references indexed in Scilit:
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- A Restricted Pseudoinverse and Its Application to Constrained MinimaSIAM Journal on Applied Mathematics, 1970
- A Note on PseudoinversesJournal of the Society for Industrial and Applied Mathematics, 1963
- A generalized inverse for matricesMathematical Proceedings of the Cambridge Philosophical Society, 1955