$f\left(x\right)$

$X_0$

迭代格式

$n$

$p$

${\Vert x_{n+1}-x_n\Vert }_2$

例4.1

$\{\begin{array}{l}{x}_1=-\text{1}\text{.374764514987817}\hfill \\ x_2=\text{1}\text{.769250047763499}\hfill \end{array}$

AN

4

3

3.4305e−08

HN

100

NC

NC

MN

4

3

1.2451e−11

例4.2

$\{\begin{array}{l}{x}_1=\text{1}\text{.313798582060881}\hfill \\ x_2=\text{0}\text{.981198743169162}\hfill \end{array}$

AN

3

2.89

1.1113e−11

HN

3

2.64

1.9937e−09

MN

3

2.86

1.4107e−11

例4.3

$\{\begin{array}{l}{x}_1=-\text{0}\text{.663574277849389}\hfill \\ x_2=-\text{0}\text{.698320183512346}\hfill \\ x_3=-\text{0}\text{.906644847598123}\hfill \\ x_4=\text{0}\text{.598320512621350}\hfill \end{array}$

AN

5

3.23

4.5429e−06

HN

18

2.92

1.3977e−09

MN

5

3.21

4.5432e−06