Note to the mixed-type splitting iterative method for \(Z\)-matrices linear systems
The authors propose a mixed-type splitting iterative method, using an auxiliary nonnegative diagonal matrix and an auxiliary strictly lower triangular matrix, for solving linear systems, where the coefficient matrix is a Z-matrix. Additionally, they prove that the rate of convergence of the mixed-type iterative method is faster than that of the successive overrelaxation and the accelerated overrelaxation iterative methods. Numerical results are presented to illustrate the effectiveness of the proposed method.
scientific article; zbMATH DE number 5315376