Research Article

A Cauchy Point Direction Trust Region Algorithm for Nonlinear Equations

Table 1

Test problems.

No.Problem name

1Exponential function 1
2Exponential function 2
3Extended Rosenbrock function
4Trigonometric function
5Singular function
6Logarithmic function
7Broyden tridiagonal function
8Trigexp function
9Function 15
10Strictly convex function 1
11Strictly convex function 2
12Zero Jacobian function
13Linear function-full rank
14Penalty function
15Brown almost-linear function
16Extended Powell singular function
17Tridiagonal system
18Extended Freudenstein and Roth function
19Discrete boundary value problem
20Troesch problem