Two Modified Three-Term Type Conjugate Gradient Methods and Their Global Convergence for Unconstrained Optimization

Table 1

The numerical results of Algorithm 1.

			Nf	Ng
Rosenbrock		2	184	183	29.6
Freudenstein and Roth		2	77	78	96.2
Brown badly scaled		3	106	108	453.1
Beale		3	98	100	62.8
Brown and Dennis		20	77	79	100.1	85822.2
Trigonometrix		100	10	12	45.3
Trigonometrix		1000	35	38	55.4
Trigonometrix		5000	74	78	103.3
Broyden tridiagonal		100	56	56	89.2
Broyden tridiagonal		1000	79	80	145.5
Broyden tridiagonal		5000	82	86	170.2
Broyden banded		100	11	11	78.2
Broyden banded		500	46	46	90.3
Power singular		4	113	116	77
Brown almost linear		100	25	28	46.5
Brown almost linear		1000	55	58	79.2
Watson		31	17	17	99.5
Discrete boundary value		100	42	42	36.2
Penalty function I		101	135	136	89.6
Penalty function II		200	56	56	70.2
Penalty function II		1000	102	105	144.6
Penalty function II		2000	256	256	403.4