Nonnegative Generalized Inverses and Interval Linear Programs |
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| Authors: | Sachindranath Jayaraman |
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| Affiliation: | 1. Indian Institute of Science Education and Research–Kolkata, Mohanpur Campus , Mohanpur, West Bengal, India sachindranath@iiserkol.ac.in |
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| Abstract: | Connections between nonnegative generalized inverses and interval linear programs form the subject matter of this article. Characterizations of nonnegativity of the Moore–Penrose inverse and the group inverse are presented and their role in the study of a special class of optimization spaces, namely, Ben-Israel–Charnes spaces is brought out. The interplay between Ben-Israel–Charnes spaces and other notions of generalized inverse positivity are also studied. |
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| Keywords: | Ben-Israel–Charnes space Interval linear program Nonnegative group inverses Nonnegative Moore–Penrose inverses Weak monotonicity |
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