Weighted Generalized Inverses of Matrices over Integral Domains

Xiaoji Liu · Journal of Sichuan Normal University · 2009

In this article,weighted generalized Moore-Penrose inverses of Matrices over integral domains is defined and studied. Necessary and sufficient conditions for this kind of inverse to exist are given. By using a lemma of D. W. Robinson(Linear Algebra Appl.,2005,411:254-276) an expression of the generalized inverse is also given.

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