M-matrix characterizations.I—nonsingular M-matrices

Two modified Jacobi methods for M-matrices

Ela M ∨ - Matrices : a Generalization of M - Matrices Based on Eventually Nonnegative Matrices

An M ∨-matrix has the form A = sI − B, where s ≥ ρ(B) ≥ 0 and B is eventually nonnegative; i.e., B k is entrywise nonnegative for all sufficiently large integers k. A theory of M ∨-matrices is developed here that parallels the theory of M-matrices, in particular as it regards exponential nonnegativity, spectral properties, semipositivity, monotonicity, inverse nonnegativity and diagonal dominance.

two modified jacobi methods for m-matrices

A Characterization of M{matrices

Since Ostrowski introduced the class of M{matrices more than fty equivalent deenitions of these matrices were established. Here we give another characterization using Schur complements.

M m m Queue with Balking, Reneging and Additional Servers

In this paper, we consider a multi-server queuing system in which additional servers are allowed for a longer queue to reduce the customer’s balking and reneging behavior. The customers are assumed to arrive in Poisson fashion and their service- times follow exponential distribution. The number of servers in long run depends on the queue-length. We obtain equilibrium queue size distribution. Th...