Convergence Theorems for Matrix Continued Fractions
David A. Field · SIAM Journal on Mathematical Analysis · 1984
Convergence theorems are proven for continued fractions of the form $K({{A_n } / I})$ and $K({I / {B_n }})$ where $A_n $ and $B_n $ are $n \times n$ matrices and I is the identity matrix. Geometric rules of convergence are determined for the matrix exponential.