More on generalized inverses of partitioned matrices with Banachiewicz–Schur forms |
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| Authors: | Yongge Tian Yoshio Takane |
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| Institution: | 1. China Economics and Management Academy, Central University of Finance and Economics, Beijing, China;2. Department of Psychology, McGill University, Montréal, Québec, Canada |
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| Abstract: | Necessary and sufficient conditions are derived for a 2-by-2 partitioned matrix to have {1}-, {1,2}-, {1,3}-, {1,4}-inverses and the Moore–Penrose inverse with Banachiewicz–Schur forms. As applications, the Banachiewicz–Schur forms of {1}-, {1,2}-, {1,3}-, {1,4}-inverses and the Moore–Penrose inverse of a 2-by-2 partitioned Hermitian matrix are also given. |
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