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On group inverses and the sharp order - MaRDI portal

On group inverses and the sharp order (Q1089409)

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scientific article; zbMATH DE number 4004372
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English
On group inverses and the sharp order
scientific article; zbMATH DE number 4004372

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    On group inverses and the sharp order (English)
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    1987
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    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.
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    group inverses
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    sharp order
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    generalized inverse
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    star ordering
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    partial orderings
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