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Table 1 Feasible initial interior points for testing problems

From: Primal-dual interior point QP-free algorithm for nonlinear constrained optimization

Prob.

\(\boldsymbol{x^{0}}\)

Prob.

\(\boldsymbol{x^{0}}\)

Prob.

\(\boldsymbol{x^{0}}\)

HS6

(2,2)

HS32

(0.1,0.7,0.1)

HS63

(1,1,1)

HS7

(0,1)

HS39

(−1,−1,0,0)

HS73

(1,1,1,1)

HS8

(4,2)

HS40

(2,−1,0,1)

HS78

(−2,1.5,1,−1,−1)

HS25

(50,25,1.5)

HS42

(1,1,1,1)

HS79

(0,0,0,0,0)

HS26

(0.2,0.2,0.2)

HS52

(1,−0.5,−1,0,1)

HS80

(−2,−1.5,1,1,1)

HS27

(0,0,0)

HS53

(−6 2 2 2 2)

HS81

(−1.7,1,1.5,−0.8,−0.8)

HS28

(0,0,0)

HS60

(0,0,0)

HS107

(0.8 0.8 10 10 1 1 1 1 1)

HS111

(−1,−1,−1,−1,−1,−1,−1,−1,−1,−1)

HS114

(1,745 12,000 110 3,048 1,974 89.2 92.8 8 3.6 145)