When Does a Dual Matrix Have a Dual Generalized Inverse?

نویسندگان

چکیده

This paper deals with the existence of various types dual generalized inverses matrices. New and foundational results on necessary sufficient conditions for to exist are obtained. It is shown that unlike real matrices, matrices may not have {1}-dual inverses. A condition a matrix inverse always has {1}-, {1,3}-, {1,4}-, {1,2,3}-, {1,2,4}-dual if only it every {2}- {2,4}-dual inverse. Explicit expressions, which been reported date in literature, all these provided. Moore–Penrose exists inverse; an explicit expression this inverse, when exists, obtained irrespective rank its part. expressions matrix, terms products, also Several new related determination Moore-Penrose using less restrictive

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ژورنال

عنوان ژورنال: Symmetry

سال: 2021

ISSN: ['0865-4824', '2226-1877']

DOI: https://doi.org/10.3390/sym13081386