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On group inverses and the sharp order. (English) Zbl 0619.15006
Various partial orderings have been defined on sets of matrices. For example, the $${}^*$$-order is that $$A<B$$ if $$BA^*=AA^*$$, $$A^*A=A^*B$$. This paper examines the relationships between several orderings of this type.
Reviewer: S.L.Campbell

##### MSC:
 15A09 Theory of matrix inversion and generalized inverses 06F25 Ordered rings, algebras, modules
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##### References:
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