Stability of invariant maximal semidefinite subspaces. II. applications: Self-adjoint rational matrix functions, Algebraic Riccati equations

AbstractThe stability of various factorizations of self-adjoint rational matrix functions and matrix polynomials, as well as of hermitian solutions of symmetric matrix algebraic Riccati equations, is studied. In the first part of this paper results on stability of certain classes of invariant subspaces of a matrix which is self-adjoint in an indefinite inner product were obtained. These results serve as the main tools in the investigation