An Augmented Lagrangian Algorithm for Solving Semiinfinite Programming

Table 2

Numerical results of Example 4.2.

𝑛	𝑘	𝜙(𝑡)	𝐱𝑘	𝜆𝑘	𝑓(𝑥𝑘)
3	17	log(1+𝑒^𝑡)	(0.0839, 0.4494, 1.0105)	18.5016	0.6472
3	16	(1/2)(𝑡+√𝑡^2+4)	(0.0839, 0.4494, 1.0108)	18.5869	0.6472
3	16	𝑒^𝑡	(0.0873, 0.4248, 1.0460)	12.3942	0.6484
6	16	log(1+𝑒^𝑡)	(0.00, 1.03, −0.25, 1.24, −1.39, 0.94)	5.3234	0.6161
6	17	(1/2)(𝑡+√𝑡^2+4)	(−0.00, 1.03, −0.25, 1.23, −1.39, 0.94)	7.5705	0.6161
6	16	𝑒^𝑡	(−0.00, 1.02, −0.25, 1.24, −1.41, 0.95)	4.1742	0.6161
8	17	log(1+𝑒^𝑡)	(−0.00, 1.00, −0.06, 0.77, −1.49, 2.77, −2.41, 0.96)	4.3033	0.6157
8	18	(1/2)(𝑡+√𝑡^2+4)	(−0.00, 1.00, −0.06, 0.77, −1.47, 2.78, −2.40, 0.96)	7.0902	0.6157
8	16	𝑒^𝑡	(0.00, 1.00, −0.06, 0.78, −1.49, 2.78, −2.42, 0.97)	3.3116	0.6158