Jordan–Schur Algorithms for Computing the Matrix Exponential

Table 1

Number of computational operations for reduction into Jordan–Schur form and computing the diagonal blocks of the matrix exponential.

Operation	Number of flops
Reduction of into Schur form
Reduction of into Jordan–Schur form
Case of
Case of
Computing the exponentials of the diagonal blocks
Case of	—
Case of
Total: reduction into Jordan–Schur form and computing the exponentials of the diagonal blocks
Case of
Case of