
doi: 10.1002/nla.2101
SummaryThe 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.
Numerical computation of eigenvalues and eigenvectors of matrices, Eigenvalues, singular values, and eigenvectors, Other matrix algorithms, eigenvalues, block matrices, H-matrices, inertia, stability
Numerical computation of eigenvalues and eigenvectors of matrices, Eigenvalues, singular values, and eigenvectors, Other matrix algorithms, eigenvalues, block matrices, H-matrices, inertia, stability
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