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Theory and Modern Applications

Table 8 Numerical results of PITTA

From: A parallel Tseng’s splitting method for solving common variational inclusion applied to signal recovery problems

Inputting

 

m nonzero elements

 

m = 20

m = 40

m = 60

m = 80

m = 100

\(H_{1}\)

Elapsed time (s)

1.5507

2.6985

3.7521

7.5174

8.4918

No. of iter.

1799

2970

4336

8629

9932

\(H_{2}\)

Elapsed time (s)

1.4325

4.4381

3.6034

5.9576

8.7588

No. of iter.

1791

3112

4597

6907

10,175

\(H_{3}\)

Elapsed time (s)

1.5883

2.3403

3.5121

6.9216

7.5436

No. of iter.

2026

2996

4406

8751

8389

\(H_{1}, H_{2}\)

Elapsed time (s)

1.1125

1.6056

2.0113

2.9192

3.4436

No. of iter.

616

890

1124

1563

1888

\(H_{1}, H_{3}\)

Elapsed time (s)

1.9713

1.6221

2.1273

2.8935

3.2136

No. of iter.

625

917

1192

1611

1722

\(H_{2}, H_{3}\)

Elapsed time (s)

1.8236

1.5904

1.9945

2.6373

3.2237

No. of iter.

670

892

1127

1478

1753

\(H_{1}, H_{2},H_{3}\)

Elapsed time (s)

1.2404

1.6589

2.0204

2.9801

3.2592

No. of iter.

417

623

766

1004

1187