an:03882938
Zbl 0554.41001
Loginov, A. A.
A program for the computation of the matrix exponential function using the diagonal Pad?? approximation
RU
Degenerate systems of ordinary differential equations, Collect. Artic., Novosibirsk 1982, 91-97 (1982).
1982
a
41-04 41A21 65F30 65D15 41A20 65-04
[For the entire collection see Zbl 0511.00015.]
An ALGOL program for the computation of the matrix exponential function \(\exp (A)=\sum^{\infty}_{k=0}A^ k/k!\) is given, where A is a constant finite-dimensional matrix with real elements. The problem is reduced to the computation of the diagonal Pad?? approximants by using \textit{R. Ward}'s idea [SIAM J. Numer. Anal. 14, 600-610 (1977; Zbl 0363.65031)]. A modification of this idea is presented.
G.L.Litvinov
Zbl 0511.00015; Zbl 0363.65031