The calculation of eAt with some applications
Stewart, Elmo J.
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Given A an n x n matrix with real or complex elements, then e is calculated as the unique solution of an initial value problem. In the process of obtaining this solution n-unknown matrices become involved and must be computed. Characterizing properties of these matrices to be computed become known: such properties as pairwise-orthogonal , idempotent and nilpotent. Finally some applications of the above calculations are given in the field of solutions to systems of differential equations.