In this paper, necessary and sufficient conditions are given for the existence of the core inverse of the block matrix A A B 0 over any skew field, where A, B are both square and rk(B) ≥ rk(A).The representation of this core inverse and some relative additive results are also given.
In this paper, we study the partial orderings of block matrices and the submatrix partial orderings, we also present the results of star orderings in Minkowski space.
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