From: Strong convergence of an inertial algorithm for maximal monotone inclusions with applications
Algorithm (4.8) | Algorithm (4.9) | Algorithm (4.7) (Inertial Algorithm 2) | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
IP | n | \(\|u_{n+1}\|\) | T (s) | IP | n | \(\|u_{n+1}\|\) | T (s) | IP | n | \(\|u_{n+1}\|\) | T (s) |
\(u_{1}(t)=\sin t\) \(v_{1}(t)=\cos t\) | 6 | 0.5193 | 41.56 | \(u_{1}(t)=\sin t\) \(v_{1}(t)=\cos t\) | 6 | 0.0337 | 92.78 | \(u_{1}(t)=\sin t\) \(v_{1}(t)=\cos t\) | 6 | 0.0291 | 4129.97 |
\(u_{1}(t)=t^{2}-2\) \(v_{1}=e^{t}-1\) | 6 | 1.2381 | 244.31 | \(u_{1}=t^{2}-2\) \(v_{1}=e^{t}-1\) | 6 | 0.0463 | 28.55 | \(u_{1}=t^{2}-2\) \(v_{1}=e^{t}-1\) | 6 | 0.0424 | 884.05 |
\(u_{1}(t)= 2t^{3}-2 \) \(v_{1}=te^{t}+2t\) | 6 | 1.4154 | 647.69 | \(u_{1}=2t^{3}-2 \) \(v_{1}=te^{t}+2t\) | 6 | 0.0720 | 57.03 | \(u_{1}=2t^{3}-2 \) \(v_{1}=te^{t}+2t\) | 6 | 0.0519 | 2268.58 |