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More on maximal and minimal ranks of Schur complements with applications. (English) Zbl 1077.15005
Summary: The maximal and minimal ranks of the Schur complement $$D-CGB$$ are determined with respect to generalized inverse $$G$$ of a matrix $$A$$, where $$G$$ is taken respectively as least squares g-inverse $$A^{(1,3)}$$, minimum norm g-inverse $$A^{(1,4)}$$, as well as $$A^{(1,2,3)}, A^{(1,2,4)}$$ and $$A^{(1,3,4)}$$. Various consequences are also presented.

MSC:
 15A09 Theory of matrix inversion and generalized inverses
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References:
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