皮卡尔迭代法

改进的皮卡尔迭代法

迭代

近似解

相对误差

迭代

近似解

相对误差

1

$\text{0}\text{.500622}\sqrt{x}$

0.4993780

1

$0.984300\sqrt{x}$

0.0157000

2

$\text{0}\text{.647106}\sqrt{x}$

0.3528940

2

$0.999700\sqrt{x}$

0.0002999

3

$\text{0}\text{.750621}\sqrt{x}$

0.2493790

3

$0.999950\sqrt{x}$

0.0000499

4

$\text{0}\text{.823772}\sqrt{x}$

0.1762280

5

$\text{0}\text{.875466}\sqrt{x}$

0.1245340

$⋮$

$⋮$

10

$\text{0}\text{.978053}\sqrt{x}$

0.0219470

11

$\text{0}\text{.984491}\sqrt{x}$

0.0155090

$⋮$

$⋮$

20

$\text{0}\text{.999318}\sqrt{x}$

0.0006819

$⋮$

$⋮$

30

$\text{0}\text{.999978}\sqrt{x}$

0.0000219