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Keywords:
infinite linear system; group inverse; Moore-Penrose inverse; EP endomorphism
infinite linear system; group inverse; Moore-Penrose inverse; EP endomorphism
Summary:
The aim of this note is to offer an algorithm for studying solutions of infinite linear systems associated with group inverse endomorphisms. As particular results, we provide different properties of the group inverse and we characterize EP endomorphisms of arbitrary vector spaces from the coincidence of the group inverse and the Moore-Penrose inverse.\looseness -1
References:
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