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Theory and Modern Applications

Table 1 Numerical results for Example 4.1

From: An inertially constructed forward–backward splitting algorithm in Hilbert spaces

 

No. of iter.

CPU (sec)

 

\(\Theta _{k}=0\)

\(\Theta _{k} \neq 0\)

\(\Theta _{k} = 0\)

\(\Theta _{k} \neq 0\)

Choice 1. \(x_{0}=(5)\), \(x_{1}=(2)\) and N = 20

55

46

0.083838

0.064682

Choice 1. \(x_{0}=(5)\), \(x_{1}=(2)\) and N = 4

53

44

0.094593

0.078660

Choice 2. \(x_{0}=(-7)\), \(x_{1}=(-3)\) and N = 20

64

54

0.087539

0.064254

Choice 2. \(x_{0}=(-7)\), \(x_{1}=(-3)\) and N = 4

59

49

0.140981

0.069864