Inversion of a class of matrices occurring in control-system theory by an m-step procedure allied to Gaussian elimination

Matrices of the form Q(s) + BG, Q being a lambda matrix, occur frequently in control applications, and it is often required to invert them, as, for example, in response calculations. Using a variant of a method proposed by the author as a means for solving the mode-control problem, a recurrence relation is derived which facilitates such calculations while, at the same time, providing insight into the structure of the inverse.