Table 3 Numerical results for Example 5.3 ( \(\pmb{\rho=\rho_{n}=0.001}\) )
From: New strong convergence theorems for split variational inclusion problems in Hilbert spaces
\(\boldsymbol{x_{1}=(1,1)^{\top}}\) | \(\boldsymbol{\varepsilon=10^{-3}}\) | \(\boldsymbol{\varepsilon=10^{-4}}\) | ||||
|---|---|---|---|---|---|---|
Time | Iteration | Approximate solution | Time | Iteration | Approximate solution | |
Algorithm 1.2 | 0.02 | 40 | (1.540193,−0.5400902) | 0.04 | 162 | (1.515364,−0.5153539) |
Theorem 1.1 | ≤ | 7 | (0.5038810,0.4956130) | 0.33 | 3,658 | (1.3762567,−0.3763273899) |
\(\boldsymbol{x_{1}=(1,1)^{\top}}\) | \(\boldsymbol{\varepsilon=10^{-5}}\) | \(\boldsymbol{\varepsilon=10^{-6}}\) | ||||
|---|---|---|---|---|---|---|
Time | Iteration | Approximate solution | Time | Iteration | Approximate solution | |
Algorithm 1.2 | 0.19 | 697 | (1.504028,−0.5040270) | 0.55 | 2,233 | (1.500311,−0.5003114) |
Theorem 1.1 | 0.76 | 7,689 | (1.4876280,−0.4876350226) | 1.38 | 11,719 | (1.4987623,−0.4987630241) |
\(\boldsymbol{x_{1}=(1,1)^{\top}}\) | \(\boldsymbol{\varepsilon=10^{-7}}\) | \(\boldsymbol{\varepsilon=10^{-8}}\) | ||||
|---|---|---|---|---|---|---|
Time | Iteration | Approximate solution | Time | Iteration | Approximate solution | |
Algorithm 1.2 | 1.06 | 4,175 | (1.499761,−0.4997615) | 1.32 | 5,188 | (1.499727,−0.4997275) |
Theorem 1.1 | 2.06 | 15,750 | (1.4998763,−0.4998763253) | 2.83 | 19,781 | (1.4999876,−0.4999876348) |