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Table 1 Comparison for nonlinear objective function

From: Singular Value Homogenization: a simple preconditioning technique for linearly constrained optimization and its potential applications in medical therapy

 

\(\boldsymbol{A}_{\boldsymbol{1}}\)

\(\boldsymbol{A}_{\boldsymbol{2}}\)

\(\boldsymbol{A}_{\boldsymbol{3}}\)

\(\boldsymbol{A}_{\boldsymbol{4}}\)

\(\boldsymbol{A}_{\boldsymbol{5}}\)

dim

504 × 250

336 × 192

408 × 128

457 × 206

500 × 82

κ

6 × 1016

2 × 1016

2 × 1018

6 × 1012

9 × 109

\(t_{1}^{\bullet}\)

nC

nC

nC

nC

2,381

\(t_{1}^{\circ}\)

44

123

82

85

2

\(t_{2}^{\bullet}\)

nC

nC

nC

nC

2,445

\(t_{2}^{\circ}\)

44

117

102

90

3

\(t_{3}^{\bullet}\)

nC

nC

nC

nC

2,579

\(t_{3}^{\circ}\)

48

117

98

92

5

\(t_{4}^{\bullet}\)

nC

nC

nC

nC

2,502

\(t_{4}^{\circ}\)

40

108

106

79

3

\(t_{5}^{\bullet}\)

nC

nC

nC

nC

2,524

\(t_{5}^{\circ}\)

42

117

105

87

3

μ

2

8

6

3

0