Abstract
Using a concise method, different from those in [1-3,7,8] used by K. R. James, M. Martins and Hu Jia-gan, repectively, this paper discusses the upper bounds of the spectral radii of the matarices M-1N and Lyoi which is the AOR type matrix, and gives new results. Based on these conclusions further results for the convergence domains of the AOR and GAOR, SOR and GSOR iterative methods with strictly or irreducibly diagonally dominant matrices are obtained. Finally conditions equivalent to the statement that the matrix is strictly or irreducibly diagonally dominant by rows are established.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have