On the inertia of the block H‐matrices

Summary The problem of determining matrix inertia is very important in many applications, for example, in stability analysis of dynamical systems. In the (point‐wise) H‐matrix case, it was proven that the diagonal entries solely reveal this information. This paper generalises these results to the bl...

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Bibliographic Details
Published in:Numerical linear algebra with applications 2017-10, Vol.24 (5), p.n/a
Main Authors: Kostic, V R, Cvetkovic, Lj
Format: Article
Language:English
Subjects:
block matrices
Dynamic stability
eigenvalues
H‐matrices
Inertia
Norms
stability
Stability analysis
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Summary:Summary The problem of determining matrix inertia is very important in many applications, for example, in stability analysis of dynamical systems. In the (point‐wise) H‐matrix case, it was proven that the diagonal entries solely reveal this information. This paper generalises these results to the block H‐matrix cases for 1, 2, and ∞ matrix norms. The usefulness of the block approach is illustrated on 3 relevant numerical examples, arising in engineering.
ISSN:1070-5325
1099-1506
DOI:10.1002/nla.2101