Example 3. Fast Convergence  Find the solution to  [Graphics:Images/SecantMethodMod_gr_302.gif].  
Use the Secant Method and the starting approximations  [Graphics:Images/SecantMethodMod_gr_303.gif]  and  [Graphics:Images/SecantMethodMod_gr_304.gif].  

Solution 3.

[Graphics:../Images/SecantMethodMod_gr_305.gif]

[Graphics:../Images/SecantMethodMod_gr_306.gif]

[Graphics:../Images/SecantMethodMod_gr_307.gif]

[Graphics:../Images/SecantMethodMod_gr_308.gif]
[Graphics:../Images/SecantMethodMod_gr_309.gif]
[Graphics:../Images/SecantMethodMod_gr_310.gif]
[Graphics:../Images/SecantMethodMod_gr_311.gif]
[Graphics:../Images/SecantMethodMod_gr_312.gif]
[Graphics:../Images/SecantMethodMod_gr_313.gif]
[Graphics:../Images/SecantMethodMod_gr_314.gif]
[Graphics:../Images/SecantMethodMod_gr_315.gif]
[Graphics:../Images/SecantMethodMod_gr_316.gif]
[Graphics:../Images/SecantMethodMod_gr_317.gif]
[Graphics:../Images/SecantMethodMod_gr_318.gif]
[Graphics:../Images/SecantMethodMod_gr_319.gif]
[Graphics:../Images/SecantMethodMod_gr_320.gif]
[Graphics:../Images/SecantMethodMod_gr_321.gif]
[Graphics:../Images/SecantMethodMod_gr_322.gif]

[Graphics:../Images/SecantMethodMod_gr_323.gif]

Animation 1.  ( Secant Method  Secant Method ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004