On optimal improvements of classical iterative schemes for \(Z\)-matrices
The authors describe a preconditioning technique for improving the asymptotic convergence rate of Jacobi and Gauss-Seidel iterations for irreducible dominant \(Z\)- matrices. Their method is based on a multiple elimination of some off-diagonal entries. Some connections with Krylov subspace methods are also described.
Jacobi and Gauss-Seidel iterative methods
diagonally dominant \(Z\)- and \(M\)-matrices
scientific article; zbMATH DE number 5012879