Abstract:

Based on the theory of solution to the Lyapunov and Riccati matrix equations, in this paper an in-depth analysis of the convergence of iterative dynamic condensation methods is provided and the sufficient conditions for their convergence are introduced. The relationship between the iterative dynamic condensation methods and the classical subspace iterative method is uncovered. In fact, the iterative dynamic condensation methods are a transformed kind of the subspace iterative method.

Key words: dynamic , condensation,  , iterative , method,  , matrix , equation,  , finite , element , method,  , modeling