The weaker convergence of non-stationary matrix multisplitting methods for almost linear systems (Q647243)

The authors extend the non-stationary parallel multisplitting methods proposed by \textit{J. Arnal, V. Migallón} and \textit{J. Penadés} [in Numer. Linear Algebra Appl. 6, No. 2, 79--92 (1999; Zbl 0983.65065)] to non-stationary parallel multisplitting multi-parameters methods for almost linear systems. They analyse the convergence of these methods when the system matrix is either an \(H\)-matrix or an \(M\)-matrix and show that the convergence conditions of their method are weaker than those of Arnal et al. [loc. cit.].