Example 8. NON Convergence, Divergent Oscillation  Find the solution to  [Graphics:Images/Newton'sMethodMod_gr_514.gif].  Use the starting approximation  [Graphics:Images/Newton'sMethodMod_gr_515.gif].  

Solution 8.

[Graphics:../Images/Newton'sMethodMod_gr_516.gif]

[Graphics:../Images/Newton'sMethodMod_gr_517.gif]

[Graphics:../Images/Newton'sMethodMod_gr_518.gif]
[Graphics:../Images/Newton'sMethodMod_gr_519.gif]
[Graphics:../Images/Newton'sMethodMod_gr_520.gif]

[Graphics:../Images/Newton'sMethodMod_gr_521.gif]
[Graphics:../Images/Newton'sMethodMod_gr_522.gif]
[Graphics:../Images/Newton'sMethodMod_gr_523.gif]
[Graphics:../Images/Newton'sMethodMod_gr_524.gif]
[Graphics:../Images/Newton'sMethodMod_gr_525.gif]
[Graphics:../Images/Newton'sMethodMod_gr_526.gif]
[Graphics:../Images/Newton'sMethodMod_gr_527.gif]
[Graphics:../Images/Newton'sMethodMod_gr_528.gif]
[Graphics:../Images/Newton'sMethodMod_gr_529.gif]
[Graphics:../Images/Newton'sMethodMod_gr_530.gif]
[Graphics:../Images/Newton'sMethodMod_gr_531.gif]
[Graphics:../Images/Newton'sMethodMod_gr_532.gif]
[Graphics:../Images/Newton'sMethodMod_gr_533.gif]
[Graphics:../Images/Newton'sMethodMod_gr_534.gif]
[Graphics:../Images/Newton'sMethodMod_gr_535.gif]
[Graphics:../Images/Newton'sMethodMod_gr_536.gif]

[Graphics:../Images/Newton'sMethodMod_gr_537.gif]

Animation 6.  ( Newton's Method  Newton's Method ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004