Extending Putzer's representation to all analytic matrix functions via omega matrix calculus
Extending Putzer's representation to all analytic matrix functions via omega matrix calculus
We show that Putzer's method to calculate the matrix exponential in [28] can be generalized to compute an arbitrary matrix function defined by a convergent power series. The main technical tool for adapting Putzer's formulation to the general setting is the omega matrix calculus; that is, an extension of MacMahon's …