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Table 2 Numerical results for Example 1

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