算法

初始值

最优解

最优值

迭代次数

精度

梯度法

(0, 0)

(0.9027, 0.8145)

0.0095

156

${\epsilon }_1=0.1$

(10, 10)

(1.1200, 1.2549)

0.0144

18,374

${\epsilon }_1=0.1$

(2.7811, 7.7360)

3.1725

5000

${\epsilon }_1=0.1$

(20, 20)

(1.1186, 1.2518)

0.0141

57,561

${\epsilon }_1=0.1$

(2.4586, 6.0482)

2.1287

50,000

${\epsilon }_1=0.1$

(100, 100)

(1.0036, 1.0073)

1.3127e−05

619,505

${\epsilon }_1=0.1$

牛顿法

(0, 0)

(1.000, 1.000)

4,9304e−30

3

${\epsilon }_1=0.1$

(10, 10)

(1.0498, 1.1020)

0.0025

12,598

${\epsilon }_1=0.1$

(20, 20)

(1.0498, 1.1020)

0.0025

88,854

${\epsilon }_1=0.1$

(40, 40)

(1.0498, 1.1020)

0.0025

167,330

${\epsilon }_1=0.1$

阻尼牛顿法

(0, 0)

(0.9501, 0.9027)

0.0025

317

${\epsilon }_1=0.1$

(10, 10)

(7,4362, 55.2978)

41.4253

5000

${\epsilon }_1=0.1$

(1.0498, 1.1020)

0.0025

12,597

${\epsilon }_1=0.1$

(20, 20)

(1.0498, 1.1020)

0.0025

44,426

${\epsilon }_1=0.1$