Affiliation:
1. Faculty of Science, Jiangxi University of Science and Technology, Ganzhou, China
Abstract
In this paper, we study a kind of dual generalized inverse, which is called
the dual Drazin inverse. Unlike the real matrices case, the dual Drazin
inverse of a square dual matrix may not exist. It is shown that the dual
Drazin inverse is unique when it exists. Some necessary and sufficient
conditions for the existence of the dual Drazin inverse are presented. A
compact formula for the computation of the dual Drazin inverse is given when
it exists. Moreover, we find an unexpected result that the dual Drazin
inverse can be obtained by computing the Drazin inverse of a 2 ? 2 upper
triangular block matrix. We also introduce the dual Drazin-inverse solution
of systems of linear dual equations. Some characterizations of the dual
Drazin-inverse solution are given. In addition, some numerical examples are
provided to illustrate the results.
Publisher
National Library of Serbia
Cited by
3 articles.
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