A Modified Levenberg-Marquardt Method for Nonsmooth Equations with Finitely Many Maximum Functions

Table 7

𝑥₀=(10,1)^𝑇𝜎₁=0.01,𝜎₂=1 and computes 𝑑_𝑘 by (3.3).

Step	(𝑥1,𝑥2)^𝑇	𝐹(𝑥)
31	(0.0077,1.0000)^𝑇	1.0𝑒−004∗(0.5863,0.5863)^𝑇
32	(0.0075,1.0000)^𝑇	1.0𝑒−004∗(0.5603,0.5603)^𝑇
33	(0.0073,1.0000)^𝑇	1.0𝑒−004∗(0.5366,0.5366)^𝑇
34	(0.0072,1.0000)^𝑇	1.0𝑒−004∗(0.5147,0.5147)^𝑇
35	(0.0070,1.0000)^𝑇	1.0𝑒−004∗(0.4946,0.4946)^𝑇
36	(0.0069,1.0000)^𝑇	1.0𝑒−004∗(0.4759,0.4759)^𝑇
37	(0.0068,1.0000)^𝑇	1.0𝑒−004∗(0.4586,0.4586)^𝑇
38	(0.0067,1.0000)^𝑇	1.0𝑒−004∗(0.4425,0.4425)^𝑇
39	(0.0065,1.0000)^𝑇	1.0𝑒−004∗(0.4275,0.4275)^𝑇
40	(0.0064,1.0000)^𝑇	1.0𝑒−004∗(0.4135,0.4135)^𝑇
41	(0.0063,1.0000)^𝑇	1.0𝑒−004∗(0.4004,0.4004)^𝑇
42	(0.0062,1.0000)^𝑇	1.0𝑒−004∗(0.3880,0.3880)^𝑇