Note on functional iteration technique for \(M/G/1\) type Markov chains
The mean convergence rate of the iterative approximation of the nonnegative solution \(G\) of the following matrix equation \( X= \sum^{\infty}_{i=0}X^iA_i \), which comes from the M/G/1 queuing system and studied completely by \textit{B. Meini} [Numer. Math. 78, No.~1, 39--58 (1997; Zbl 0889.65145)], is shown related to the second eigenvalue of \(G\) .
scientific article; zbMATH DE number 5667906