On the inertia of the Lyapunov transform AH + HA * for H >0
- 1 January 1978
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 6 (1), 1-21
- https://doi.org/10.1080/03081087808817216
Abstract
Given an arbitrary n×n matrix A with complex entries, we characterize all inertia triples (a b c) that are attained by the Lyapunov transform AH+ HA *, as H varies over the set of all n× n positive definite matrices.Keywords
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