The inertia of hermitian matrices with a prescribed 2×2 block decomposition
- 1 June 1992
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 31 (1-4) , 119-130
- https://doi.org/10.1080/03081089208818128
Abstract
Let denote given nonnegative integers, and consider the Hermitian matrices where each Hi =Hi* is ni × ni . We characterize the sets of inertias In each case the possible values of In(H)=(πν*) are characterized by a system of linear inequalities involving π,ν and the given integers.Keywords
This publication has 3 references indexed in Scilit:
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- On the inertia of sums of Hermitian matricesLinear Algebra and its Applications, 1981
- On the inertia of some classes of partitioned matricesLinear Algebra and its Applications, 1968