Table 4 Numerical results for Example 4.2.
From: Split proximal linearized algorithm and convergence theorems for the split DC program
Algorithm 3.1 | \(x_{1}=(123,456,789)\), and \(r_{n}=0.09\) for all \(n\in\mathbb {N}\) | |
|---|---|---|
ε = 10−12 | Iteration | Approximate solution |
\(\beta_{n}=0.1\) | 98 | (0.99999999999931, 1.99999999999990, 3.00000000000050) |
\(\beta_{n}=1\) | 283 | (1.00000000000038, 2.00000000000051, 3.00000000000063) |
\(\beta_{n}=10\) | 21 | (1.00000000000008, 2.00000000000010, 3.00000000000013) |
\(\beta_{n}=20\) | 15 | (1.00000000000042, 2.00000000000056, 3.00000000000069) |
\(\beta_{n}=30\) | 14 | (0.99999999999997, 1.99999999999996, 2.99999999999995) |
\(\beta_{n}=40\) | 12 | (0.99999999999959, 1.99999999999946, 2.99999999999933) |
\(\beta_{n}=50\) | 12 | (0.99999999999996, 1.99999999999995, 2.99999999999994) |
\(\beta_{n}=100\) | 10 | (0.99999999999994, 1.99999999999992, 2.99999999999990) |
\(\beta_{n}=1300\) | 7 | (1, 2, 3) |