The Global Convergence of a New Mixed Conjugate Gradient Method for Unconstrained Optimization

Table 4

Numerical results of the NEW6 and NEW7.

Number	Prob.	dim	𝑘/nf/ng/𝑡(NEW6); ‖𝑔𝑘‖^2(NEW6)	𝑘/nf/ng/𝑡(NEW7); ‖𝑔𝑘‖^2(NEW7)
1	Powell badly scaled	2	14/29/15/0.0313	19/54/30/0.0313
			0.4181	0.7893
2	Brown badly scaled	2	3/22/3/0.0156	41/111/69/0.0010
			1.0000𝑒+006	3.8332𝑒+004
3	Trigonometric function	10	2/26/2/0.0010	15/63/40/0.0010
			0.0059	0.7360
4	Chebyquad		4/14/5/0.0625	36/56/41/0.2344
			1.5078	0.0188
5	Penalty function 𝐼	100	5/20/12/0.0313	10/37/10/0.0313
			5.4750𝑒−005	3.4737𝑒−004
		500	9/27/15/0.0313	9/27/15/0.0010
			7.1267𝑒−004	2.5130𝑒−004
6	Allgower	500	4/32/8/0.0010	4/32/8/0.0938
			0.0059	0.0563
7	Variable dimension	500	17/53/19/0.0313	19/55/20/0.0010
			2.8061𝑒−008	2.4868𝑒−006
		1000	16/54/16/0.0313	16/53/16/0.0010
			1.1473𝑒−004	5.6730𝑒−005
5	Penalty function 𝐼	1000	11/31/13/0.0416	11/31/13/0.0010
			0.0010	0.0010
8	Integral equation	1000	2/24/2/0.0020	2/24/2/0.0625
			0.0041	0.0936
9	Separable cubic	1000	9/12/11/0.4063	16/18/17/0.3906
			6.5318𝑒−004	7.9504𝑒−004
		3000	12/16/14/3.2969	20/22/22/4.3438
			1.7672𝑒−005	5.7872𝑒−004