Putzer's Algorithm for e At via the Laplace Transform
William A. Adkins, Mark Davidson · Mathematics Magazine · 2010
SummaryA method due to E. J. Putzer computes the matrix exponential eAt for an n × n matrix A without transforming A to Jordan canonical form. A variation of Putzer's algorithm is presented. This approach is based on an algorithmically produced formula for the resolvent matrix (sI - A) -1 that is combined with simple Laplace transform formulas to give a formula, similar to Putzer's, for eAt.