Continued Fraction Algorithm for Matrix Exponentials
GUChuan-qing · Acta Scientiarum Naturalium Universitatis Sunyatseni · 2001
A recursive rational algorithm for matrix exponentials was obtained by making use of the generalized inverse of a matrix in this paper. On the basis of the n-th convergence of Thiele-type continued fraction expansion, a new type of the generalized inverse matrix-valued Pade approximant (GMPA) for matrix exponentials was defined and its remainder formula was proved. The results of this paper were illustrated by some examples.