Closed-form expressions for matrix functions (including e^{At} )
R. Muralidharan · IEEE Transactions on Automatic Control · 1975
In this technical note, we develop closed-form expressions forf(A)whereAis any constantn \times nmatrix andf(\lambda)is any analytic function in a region containing the eigenvalues λiofA, i = 1,2, ..., n. The matrixAmay have nondistinct eigenvalues.