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In this paper, we prove that a complex square matrix is weak group matrix if the m-th power of this matrix commutes with its weak group inverse, where m is… Click to show full abstract
In this paper, we prove that a complex square matrix is weak group matrix if the m-th power of this matrix commutes with its weak group inverse, where m is an arbitrary positive integer. Firstly, some new characterizations of weak group matrices are investigated by means of core-EP decomposition. Secondly, we study new equivalent conditions of the weak group matrix by using commutator and rank equalities. Finally, the relationships between {m, k}-core EP matrices, k-EP matrices and weak group matrices are given.
Keywords:
group matrices;
group;
characterizations weak;
weak group;
new characterizations
Journal Title: Filomat
Year Published: 2023
Link to full text (if available)
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Journal Title: Filomat
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!