Table 1 Numerical results for Example 4.1.
From: Split proximal linearized algorithm and convergence theorems for the split DC program
Algorithm 4.2 | \(x_{1}=(88,2000,500)\), and \(r_{n}=0.5\) for all \(n\in\mathbb{N}\) | |
|---|---|---|
ε = 10−12 | Iteration | Approximate solution |
\(\beta_{n}=0.1\) | 73 | (1.00000000000004, 2.00000000000091, 3.00000000000023) |
\(\beta_{n}=1\) | 18 | (1.00000000000002, 2.00000000000044, 3.00000000000011) |
\(\beta_{n}=10\) | 10 | (1.00000000000000, 2.00000000000002, 3.00000000000000) |
\(\beta_{n}=20\) | 8 | (1.00000000000003, 2.00000000000074, 3.00000000000018) |
\(\beta_{n}=30\) | 8 | (1.00000000000000, 2.00000000000004, 3.00000000000001) |
\(\beta_{n}=40\) | 8 | (1.00000000000000, 2.00000000000001, 3.00000000000000) |
\(\beta_{n}=50\) | 7 | (1.00000000000002, 2.00000000000049, 3.00000000000012) |
\(\beta_{n}=100\) | 7 | (1.00000000000000, 2.00000000000001, 3.00000000000030) |
\(\beta_{n}=500\) | 6 | (1, 2, 3) |