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Table 5 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 \(\beta_{n}=1\) for all \(n\in \mathbb{N}\)

ε = 10−12

Iteration

Approximate solution

\(r_{n}=0.05\)

39

(1.00000000000036, 2.00000000000048, 3.00000000000059)

\(r_{n}=0.09\)

283

(1.00000000000038, 2.00000000000051, 3.00000000000063)

\(r_{n}=0.095\)

611

(1.00000000000041, 2.00000000000054, 3.00000000000067)

\(r_{n}=0.099\)

5129

(1.00000000000043, 2.00000000000056, 3.00000000000070)

\(r_{n}=0.0994\)

18,434

(0.99999999999957, 1.99999999999943, 2.99999999999930)