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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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