This paper investigates the convergence of parallel multisplitting met
hods for solving linear systems Ax = b, where A is an H-matrix. Suffic
ient conditions of convergence for general parallel methods are derive
d. A class of parallel generalized AOR methods, parallel block AOR met
hods and parallel AOR methods are proposed, and many convergence condi
tions are obtained. In case A is an M-matrix, we compare the asymptoti
c convergence rates of the parallel methods.