Research Article

Convergence Analysis of Preconditioned AOR Iterative Method for Linear Systems

Table 1

Spectral radius of the iteration matrices 𝜌 ( 𝑇 𝛾 , 𝜔 ) and 𝜌 ( 𝑇 𝛾 , 𝜔 ) with different values of 𝜔 and 𝛾 for Example 5.1.

𝜔 𝛾 𝜌 ( 𝑇 𝛾 , 𝜔 ) 𝜌 ( 𝑇 𝛾 , 𝜔 ) 𝜔 𝛾 𝜌 ( 𝑇 𝛾 , 𝜔 ) 𝜌 ( 𝑇 𝛾 , 𝜔 )

0 . 4 0 . 1 0 . 9 9 8 3 0 . 9 8 4 0 0 . 8 0 . 7 0 . 9 9 5 2 0 . 9 5 5 9
0 . 4 0 . 4 0 . 9 9 8 0 0 . 9 8 1 5 0 . 8 0 . 8 0 . 9 9 4 9 0 . 9 5 2 9
0 . 5 0 . 2 0 . 9 9 7 7 0 . 9 7 9 0 0 . 9 0 . 7 0 . 9 9 4 6 0 . 9 5 0 4
0 . 5 0 . 4 0 . 9 9 7 5 0 . 9 7 6 8 0 . 9 0 . 9 0 . 9 9 3 8 0 . 9 4 3 1
0 . 6 0 . 4 0 . 9 9 7 0 0 . 9 7 2 2 1 0 . 8 0 . 9 9 3 6 0 . 9 4 1 1
0 . 6 0 . 6 0 . 9 9 6 6 0 . 9 6 8 9 1 0 . 9 0 . 9 9 3 1 0 . 9 3 6 7