Table 2 \(\rho (G^{-1}F)\), \(\rho (\widetilde{G}^{-1}\widetilde{F})\), and \(\rho (\widehat{G}^{-1}\widehat{F})\) with \(\alpha =0.1\) and \(\omega_{i}=0.9\)
From: On the preconditioned GAOR method for a linear complementarity problem with an M-matrix
Preconditioner | \((\gamma _{1},\ldots ,\gamma _{5})^{T}\) | \((\beta _{1},\ldots ,\beta _{5})^{T}\) | ρ(⋅) |
|---|---|---|---|
I | – | – | 0.71690 |
P̃ | \((0,1,1,1,0.1)^{T}\) | \((0,0.1,0,0.01,0.05)^{T}\) | 0.67388 |
\((0,1,0,1,0)^{T}\) | \((0,0,0.04,0.04,0.05)^{T}\) | 0.70036 | |
P̂ | \((1,1,1,1,0.1)^{T}\) | \((0.03,0.1,0,0.01,0.05)^{T}\) | 0.67153 |
\((1,1,0,1,0)^{T}\) | \((0,0,0.04,0.04,0.05)^{T}\) | 0.69654 |