Chapter 26
Matrix Stability and Inertia
Daniel Hershkowitz
Bar-Ilan University and Technion - Israel Institute of Technology (Emeritus)
Much is known about spectral properties of square (complex) matrices. There are extensive studies of eigenvalues of matrices in certain classes. Some of the studies concentrate on the inertia of the matrices, that is, distribution of the eigenvalues in half-planes.
A special inertia case is of stable matrices, that is, matrices whose spectrum lies in the open left or right half-plane. These, and other related types of matrix stability, play an important role in various applications. For this reason, matrix stability has been intensively investigated in the past two centuries.
A. M. Lyapunov, called by F. R. Gantmacher ...
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