Research Article

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

Table 2

The numerical results of Algorithm 9.

Nf Ng

Rosenbrock 2 2 18 18 10
Freudenstein and Roth 2 2 47 48 28.3
Brown badly scaled 2 3 106 108 301.4
Beale 2 3 40 40 31
Brown and Dennis 4 20 2323 36.4 85822.2
Trigonometrix 100 100 5 5 25
Trigonometrix 1000 1000 20 21 40.3
Trigonometrix 5000 5000 35 35 53.4
Power singular 4 4 45 45 63.2
Broyden tridiagonal 100 100 40 40 68
Broyden tridiagonal 1000 1000 54 54 85.4
Broyden tridiagonal 5000 5000 72 75 130.1
Broyden banded 100 100 7 7 60.7
Broyden banded 500 500 31 35 84.5
Brown almost linear 100 100 25 28 33.5
Brown almost linear 1000 1000 50 50 65.8
Watson 31 31 14 17 75.6
Discrete boundary value 100 100 42 42 30.4
Penalty function I 100 101 55 56 69.1
Penalty function II 100 200 41 41 64.3
Penalty function II 500 1000 56 56 68
Penalty function II 1000 2000 86 86 70.1