Inertia theorems for matrix polynomials
L. Lerer, Leiba Rodman, Miron Tismenetsky · Linear and Multilinear Algebra · 1991
The Lyapunov method for determining the inertia of a matrix in terms of inertia of solutions of a certain linear matrix equation is extended to matrix polynomials.Generalization of well-known inertia theorems are obtained using the recently developed concept of Bezoutian for several matrix polynomials.