The selection of the AOR optimum parameters for consistently ordered matrix
Zhao Guang-yi · Journal of Anhui University · 2004
A linear system Ax=b is studied, where A is (1,1) consistently ordered matrix and the eigenvalues of its Jacobi matrix are all pure imaginaries or zeroes. For its AOR iterative method, the range of convergence is given. Consequently, the optimum parameters and the optimum spectral radius are developed by discussing in a kind of partition on the range of convergence. In addition, some examples are given for illustrating the results.