Table 2: The basic method is convergent (Theorem 1).

MatrixMethod Convergence interval

pde225SOR ( )0.9776(−1, −0.0743)−0.74230.7768
pde225AOR ( , )0.8053(−1, −0.8096)−0.94000.7739
pde225SSOR ( )0.8048(−1.4441, −1)−1.29410.7474
pde225SAOR ( , )0.7773(−1, −0.6038)−0.89200.6673
cage5SOR ( )0.3388(−1.2814, −1)−1.15910.2314
cage5AOR ( , )0.9240(−1, −0.0589)−0.680.3355
cage5SSOR ( )0.6427(−1.7235, −1)−1.52350.4557
cage5SAOR ( , )0.5590(−1.5609, −1)−1.37560.3890
pivtolSOR ( )0.9487(−3.9226, −1)−2.75260.8588
pivtolAOR ( , )0.9958(−1, −0.0128)−0.73000.7626
pivtolSSOR ( )0.8005(−1.4850, −1)−1.34500.7317
pivtolSAOR ( , )0.9190(−1, −0.2198)−0.830.6943
bfwb782SOR ( )0.3732(−1.2270, −1)−1.14700.3024
bfwb782AOR ( , )0.9942(−1, −0.0045)−0.650.3988
bfwb782SSOR ( )0.5984(−1.6665, −1)−1.47040.4103
bfwb782SAOR ( , )0.5123(−1.5123, −1)−1.34230.3453
bfwb782Richardson0.999998 , 0.8952