Rank equalities related to outer inverses of matrices and applications |
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| Authors: | Yongge Tian |
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| Affiliation: | 1. Department of Mathematics and Statistics , Queen's University , Kingston, Ontario, K7L 3N6, Canada ytian@mast.queensu.ca |
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| Abstract: | A matrix X is called an outer inverse for a matrix A if XAX=X. In this paper, we present some basic rank equalities for difference and sum of outer inverses of a matrix, and apply them to characterize various equalities related to outer inverses, Moore-Penrose inverses, group inverses, Drazin inverses and weighted Moore-Penrose inverses of matrices. |
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| Keywords: | Rank Outer inverse Moore-Penrose inverse Drazin inverse Weighted Moore-Penrose inverse AMS Subject Classifications:15A03, 15A09 |
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