The inertia of certain Hermitian block m
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C.M. da Fonseca
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Article
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1998
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Elsevier Science
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English
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We characterize sets of inertias of some partitioned Hermitian matrices by a system of inequalities involving the orders of the blocks, the inert& of the diagonal blocks, and the ranks of the nondiagonal blocks. The main result generalizes some well-known characterizations of .% and Cain and others.