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Theory and Modern Applications

Table 3 Relative error and computational time for Example 5.3

From: Convergence analysis of gradient-based iterative algorithms for a class of rectangular Sylvester matrix equations based on Banach contraction principle

 

Dimension 2 × 2

Dimension 10 × 10

Dimension 100 × 100

Method

CT

Error

CT

Error

CT

Error

GI opt

2.7170e-04

9.4674e-04

4.5690e-04

0.0018

0.0188

0.0036

GI

2.3330e-04

0.0996

4.3030e-04

0.2125

0.0160

0.0709

RGI

2.6100e-04

0.0254

5.3710e-04

0.8040

0.0205

0.0456

MGI

2.7400e-04

0.0074

7.2790e-04

0.0072

0.0195

0.0240

JGI

2.6410e-04

0.0772

7.6200e-04

0.1649

0.0200

0.0267

AJGI 1

2.8810e-04

0.1601

7.8790e-04

0.1465

0.0267

0.1936

AJGI 2

2.8420e-04

0.0167

8.2090e-04

0.0251

0.0262

0.0229

LSI

2.5810e-04

0.2567

7.9300e-04

0.2935

0.0261

0.2329