The Levenberg-Marquardt-Type Methods for a Kind of Vertical Complementarity Problem

Table 2

Step	𝑥𝑘	𝐺(𝑥)
𝑥0=(10,10)^𝑇
1	(10.000000,10.0000000)^𝑇	(100.000000,25.000000)^𝑇
2	(5.009980,10.0000000)^𝑇	(25.099900,12.549950)^𝑇
3	(2.509990,10.0000000)^𝑇	(6.300049;3.150024)^𝑇
4	(1.257499,10.0000000)^𝑇	(1.581306,0.7906530)^𝑇
5	(0.630004;10.0000000)^𝑇	(0.396906,0.198453)^𝑇
6	(0.315631,10.0000000)^𝑇	(0.099623,0.049811)^𝑇
7	(0.158130,10.0000000)^𝑇	(0.025005,0.012502)^𝑇
8	(0.079223,10.0000000)^𝑇	(0.006276,0.003138)𝑇
9	(0.039690,10.0000000)^𝑇	(0.001575,0.000787)^𝑇
10	(0.019884,10.0000000)^𝑇	1.0𝑒−003∗(0.395410,0.197705)^𝑇
11	(0.009962,10.0000000)^𝑇	1.0𝑒−004∗(0.992475,0.496237)^𝑇
12	(0.004991,10.0000000)^𝑇	1.0𝑒−004∗(0.249110,0.124555)^𝑇
13	(0.002500,10.0000000)^𝑇	1.0𝑒−005∗(0.625264,0.312632)^𝑇
14	(0.001252,10.0000000)^𝑇	1.0𝑒−005∗(0.156940,0.078470)^𝑇
15	(0.000627,10.0000000)^𝑇	1.0𝑒−006∗(0.393919,0.196959)^𝑇
16	(0.000314,10.0000000)^𝑇	1.0𝑒−007∗(0.988734,0.494367)^𝑇
17	(0.000157,10.0000000)^𝑇	1.0𝑒−007∗(0.248171,0.124085)^𝑇
18	(0.0000789,10.0000000)^𝑇	1.0𝑒−008∗(0.6229079,0.3114539)^𝑇
𝑥0=(100,100)^𝑇
21	1.0𝑒+002∗(0.0000009,1.0000000)^𝑇	1.0𝑒−008∗(0.985008,0.492504)^𝑇