Re-nnd generalized inverses |
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Authors: | Jovana Nikolov Dragana S Cvetkovi?-Ili? |
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Institution: | Department of Mathematics, Faculty of Science and Mathematics, University of Nis, 18000 Nis, Serbia |
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Abstract: | In this paper, we give some necessary and sufficient conditions for the existence of Re-nnd and nonnegative definite {1,3}- and {1,4}-inverses of a matrix A∈Cn×n and completely described these sets. Moreover, we prove that the existence of nonnegative definite {1,3}-inverse of a matrix A is equivalent with the existence of its nonnegative definite {1,2,3}-inverse and present the necessary and sufficient conditions for the existence of Re-nnd {1,3,4}-inverse of A. |
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Keywords: | 15A09 |
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