Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4600258 | Linear Algebra and its Applications | 2012 | 14 Pages |
Abstract
The sign pattern of a real matrix M is the (0,1,-1)-matrix obtained from M by replacing each entry by its sign. Let Q(M) be the set of real matrices with the same sign pattern as M. For any , if the Drazin inverses of M and have the same sign pattern, then M is said to have signed Drazin inverse. In this paper, we give a complete characterization for a class of anti-triangular matrices with signed Drazin inverse, and present a complete characterization for sign symmetric bipartite matrices with signed Drazin inverse.
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