Operator Identities and the Solution of Linear Matrix Difference and Differential Equations
Luis Verde‐Star · Studies in Applied Mathematics · 1994
We use operator identities in order to solve linear homogeneous matrix difference and differential equations and we obtain several explicit formulas for the exponential and for the powers of a matrix as an example of our methods. Using divided differences we find solutions of some scalar initial value problems and we show how the solution of matrix equations is related to polynomial interpolation.