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Nilpotent matrices and the minus partial order


M.I. Gareis
M. Lattanzi
N. Thome

Abstract

In this paper, {1}-inverses of a nilpotent matrix as well as matrices above a given nilpotent matrix under the minus partial order are characterized.

Mathematics Subject Classication (2010): 15A09, 06A06.

Key words: Generalized inverse, minus partial order, nilpotent matrix.


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eISSN: 1727-933X
print ISSN: 1607-3606