Research Article

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

Table 3

The numerical results of the MBFGS method [1].

Nf Ng

Rosenbrock 2 2 30 30 32
Freudenstein and Roth 2 2 45 46 45.8
Brown badly scaled 2 3 120 113 317.6
Beale 2 3 56 56 45
Brown and Dennis 4 20 2334 39.7
Trigonometrix 100 100 23 20 53
Trigonometrix 1000 1000 34 38 121
Trigonometrix 5000 5000 45 45 135
Broyden tridiagonal 100 100 60 69 77
Broyden tridiagonal 1000 1000 90 91 186.4
Broyden tridiagonal 5000 5000 122 123 140.7
Broyden banded 100 100 22 33 100
Broyden banded 500 500 22 22 90
Power singular 4 4 56 85 78
Brown almost linear 100 100 56 55 143.3
Brown almost linear 1000 1000 50 58 128.8
Watson 31 31 22 22 86.5
Discrete boundary value 100 100 55 55 42.3
Penalty function I 100 101 60 60 88
Penalty function II 100 200 157 159 185.6
Penalty function II 500 1000 256 257 200.4
Penalty function II 1000 2000 287 287 210.4