Subclasses of generalized inverses of matrices
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Structure of allg-inverses of a matrix in a weak sense is shown. Characterizations of main subclasses ofg-inverses are investigated thoroughly. The dualities among subclasses and the relation betweeng-inverses and projections are stressed. The Gauss-Markov theorem reduces to a duality of two types ofg-inverses
KeywordsOrthogonal Projection Canonical Form Equivalent Condition Generalize Inverse Weak Sense
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- Sibuya, M. (1970). Generalized inverses of mappings,Research Memorandum No. 35,Inst. Statist. Math.Google Scholar