函数

初始点

1

Exponential function 1

$x_0={\left(\frac{n}{n-1},\frac{n}{n-1},\cdots ,\frac{n}{n-1}\right)}^{\text{T}}$

2

Exponential function 2

$x_0={\left(\frac{1}{n^2},\frac{1}{n^2},\cdots ,\frac{1}{n^2}\right)}^{\text{T}}$

3

Trigonometric function

$x_0={\left(\frac{101}{100n},\frac{101}{100n},\cdots ,\frac{101}{100n}\right)}^{\text{T}}$

4

Singular function

$x_0={\left(1,1,1,\cdots ,1\right)}^{\text{T}}$

5

Logarithmic function

$x_0={\left(1,1,\cdots ,1,1\right)}^{\text{T}}$

6

Broyden Tridiagonal function

$x_0={\left(-1,-1,\cdots ,-1\right)}^{\text{T}}$

7

Variable dimensioned function

$x_0={\left(1-\frac{1}{n},1-\frac{2}{n},\cdots ,\frac{1}{n},0\right)}^{\text{T}}$

8

Discrete boundry value problem

$x_0={\left[t\left(t-1\right),t\left(2t-1\right),\cdots ,t\left(nt-1\right)\right]}^{\text{T}},t=\frac{1}{n+1}$

9

Troesch problem

$x_0={\left(0,0,\cdots ,0,0\right)}^{\text{T}}$