Chaotic Enhanced Genetic Algorithm for Solving the Nonlinear System of Equations

Table 2

Results for benchmark 2, Arithmetic application.

Method						No. of iterations
EAA		0.2077500302		0.0464943	0.2344	300
		0.0299198492		0.3489889
		−0.0339491324		0.3058418
		−0.2027950317		0.4012915
		0.2131771707		0.2284027
		0.0568458067		0.0886970
		0.2267650517		0.2024745
		−0.0977041236		0.1687259
		−0.0339921200		0.3787652
		0.2532921324		0.1741025
GAs		2.5783339E − 01		−7.3844E − 10	1.2674E − 09	10
		3.8109715E − 01		−1.1684E − 12
		2.7874502E − 01		1.7931E − 09
		2.0066896E − 01		−8.8837E − 10
		4.4525142E − 01		−4.5866E − 10
		1.4918391E − 01		−5.270E − 09
		4.3200969E − 01		−6.3852E − 09
		7.3402777E − 02		−9.7362E − 10
		3.4596683E − 01		−6.0389E − 11
		4.2732628E − 01		3.0841E − 10
Hybrid-GOA-GA		0.2578333		1.2656E − 12	1.7220E − 12	1200
		0.3810971		7.9096E − 14
		0.2787450		1.7517E − 12
		0.2006689		4.5315E − 12
		0.4452514		1.1361E − 12
		0.1491839		2.2230E − 12
		0.4320096		1.4795E − 12
		0.0734027		6.5123E − 13
		0.3459668		3.5476E − 12
		0.4273262		5.5468E − 13
Original GA		0.257833393700735		2.6685E − 13	1.7873E − 12	1200
		0.381097154600942		1.8415E − 12
		0.278745017345425		1.0000E − 12
		0.200668964224041		1.3058E − 12
		0.445251424840196		8.3411E − 13
		0.149183919967650		1.8859E − 12
		0.432009698988807		4.9226E − 12
		0.0734027777813010		5.0493E − 12
		0.345966826875570		3.8700E − 14
		0.427326275994071		7.2846E − 13
CEGA		0.257833393700561		5.7399E − 14	3.0855E − 14	272
		0.381097154602820		1.2136E − 14
		0.278745017346455		1.3031E − 14
		0.200668964225329		1.5905E − 14
		0.445251424841115		7.1657E − 14
		0.149183919969369		1.4279E − 14
		0.432009698983808		8.7737E − 14
		0.0734027777762290		2.1295E − 14
		0.345966826875559		4.9712E − 15
		0.427326275993280		1.0141E − 14