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- Title
Representations of Generalized Inverses and Drazin Inverse of Partitioned Matrix with Banachiewicz-Schur Forms.
- Authors
Liu, Xiaoji; Jin, Hongwei; Višnjić, Jelena
- Abstract
Representations of 1,2,3-inverses, 1,2,4-inverses, and Drazin inverse of a partitioned matrix M=ABCD related to the generalized Schur complement are studied. First, we give the necessary and sufficient conditions under which 1,2,3-inverses, 1,2,4-inverses, and group inverse of a 2×2 block matrix can be represented in the Banachiewicz-Schur forms. Some results from the paper of Cvetković-Ilić, 2009, are generalized. Also, we expressed the quotient property and the first Sylvester identity in terms of the generalized Schur complement.
- Subjects
INVERSE problems; MATRICES (Mathematics); IDENTITIES (Mathematics); SCHUR complement; LINEAR algebra
- Publication
Mathematical Problems in Engineering, 2016, p1
- ISSN
1024-123X
- Publication type
Article
- DOI
10.1155/2016/9236281