From: Strong convergence of an inertial algorithm for maximal monotone inclusions with applications
Algorithm (1.8) (RPPA) | Algorithm (1.9) (RIPPA) | Algorithm (3.1) (Inertial Algorithm 1) | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
IP | n | \(\|u_{n+1}\|\) | T (s) | IP | n | \(\|u_{n+1}\|\) | T (s) | IP | n | \(\|u_{n+1}\|\) | T (s) |
\(u_{1}(t)=t^{2}+1\) | 10 | 0.005 | 0.025 | \(u_{1}(t)=t^{2}+1\) | 10 | 0.0051 | 16.68 | \(u_{0}(t)= 2t\) \(u_{1}(t)=t^{2}+1\) | 10 | 1.999E−6 | 15.69 |
\(u_{1}(t)=\frac{1}{t+1}\) | 10 | 0.0041 | 0.0381 | \(u_{1}(t)=\frac{1}{t+1}\) | 10 | 0.0042 | 17.95 | \(u_{0}(t)= 2t\) \(u_{1}(t)=\frac{1}{t+1}\) | 10 | 1.87E−6 | 17.65 |
\(u_{1}(t)=te^{t}\) | 10 | 0.0021 | 0.0392 | \(u_{1}(t)=te^{t}\) | 10 | 0.0017 | 21.13 | \(u_{0}(t)= 2t\) \(u_{1}(t)=te^{t}\) | 8 | 1.89E−6 | 92.44 |