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Table 2 Numerical results for Example 4.1.

From: Split proximal linearized algorithm and convergence theorems for the split DC program

Algorithm 4.2

\(x_{1}=(123,456,789)\), and \(r_{n}=0.5\) for all \(n\in\mathbb{N}\)

ε = 10−12

Iteration

Approximate solution

\(\beta_{n}=0.1\)

72

(1.00000000000009, 2.00000000000034, 3.00000000000059)

\(\beta_{n}=1\)

18

(1.00000000000003, 2.00000000000010, 3.00000000000017)

\(\beta_{n}=10\)

9

(1.00000000000007, 2.00000000000027, 3.00000000000047)

\(\beta_{n}=20\)

8

(1.00000000000005, 2.00000000000017, 3.00000000000029)

\(\beta_{n}=30\)

8

(1.00000000000000, 2.00000000000001, 3.00000000000002)

\(\beta_{n}=40\)

7

(1.00000000000011, 2.00000000000042, 3.00000000000073)

\(\beta_{n}=50\)

7

(1.00000000000003, 2.00000000000011, 3.00000000000019)

\(\beta_{n}=100\)

7

(1, 2, 3)