方法

初值点

最优解

最优值

迭代次数

精度

梯度法

(1, 1)

(6.9011, 3.1754)

157.6921

20

$\epsilon =0.1$

(7, 4)

(6.9473, 3.0935)

157.6910

17

$\epsilon =0.1$

(18, 18)

(6.8988, 3.1761)

157.6920

25

$\epsilon =0.1$

阻尼牛顿法

(1, 1)

(−9.3054, −5.9231)

0.1573

5

$\epsilon =0.1$

(5, 4)

(6.9216, 3.1381)

157.6933

5

$\epsilon =0.1$

(7, 4)

(6.9205, 3.1383)

157.6933

4

$\epsilon =0.1$

(18, 18)

(20.9756, 20.7512)

0.0812

2

$\epsilon =0.1$

DFP拟牛顿法

(1, 1)

(6.9201, 3.1403)

157.6933

11

$\epsilon =0.1$

(7, 4)

(6.9201, 3.1403)

157.6933

11

$\epsilon =0.1$

(20, 20)

(6.9201, 3.1403)

151.8361

190

$\epsilon =0.1$

GN算法

(1, 1)

(6.9202, 3.1402)

157.6933

10

${\epsilon }_1=0.1,{\epsilon }_2=1$

(5, 4)

(6.9206, 3.1399)

157.6933

5

${\epsilon }_1=0.1,{\epsilon }_2=1$

(7, 4)

(6.9303, 3.1271)

157.6929

5

${\epsilon }_1=0.1,{\epsilon }_2=1$

(18, 18)

(6.9214, 3.1393)

157.6933

25

${\epsilon }_1=0.1,{\epsilon }_2=0.2$

GNN算法

(1, 1)

(6.7779, 3.3778)

157.6579

10

${\epsilon }_1=0.1,{\epsilon }_2=0.2$

(5, 4)

(6.8070, 3.3347)

157.6579

5

${\epsilon }_1=0.1,{\epsilon }_2=0.2$

(7, 4)

(6.9608, 3.0714)

157.6883

5

${\epsilon }_1=0.1,{\epsilon }_2=0.2$

(18, 18)

(6.8112, 3.3338)

157.6574

20

${\epsilon }_1=0.1,{\epsilon }_2=0.2$