Example 8.  Use Powell's method to find the minimum of   [Graphics:Images/PowellMethodMod_gr_243.gif].  
Use the modified program listed above that includes graphics commands to draw the vertices and edges used in finding the solution.

Solution 8.

Enter the function  [Graphics:../Images/PowellMethodMod_gr_244.gif] and graph the surface [Graphics:../Images/PowellMethodMod_gr_245.gif].

[Graphics:../Images/PowellMethodMod_gr_17.gif]

[Graphics:../Images/PowellMethodMod_gr_18.gif]

[Graphics:../Images/PowellMethodMod_gr_19.gif]
[Graphics:../Images/PowellMethodMod_gr_20.gif]

[Graphics:../Images/PowellMethodMod_gr_21.gif]

[Graphics:../Images/PowellMethodMod_gr_22.gif]
[Graphics:../Images/PowellMethodMod_gr_23.gif]

[Graphics:../Images/PowellMethodMod_gr_24.gif]

[Graphics:../Images/PowellMethodMod_gr_25.gif]



[Graphics:../Images/PowellMethodMod_gr_248.gif]



[Graphics:../Images/PowellMethodMod_gr_249.gif]
[Graphics:../Images/PowellMethodMod_gr_250.gif]
[Graphics:../Images/PowellMethodMod_gr_251.gif]
[Graphics:../Images/PowellMethodMod_gr_252.gif]
[Graphics:../Images/PowellMethodMod_gr_253.gif]
[Graphics:../Images/PowellMethodMod_gr_254.gif]
[Graphics:../Images/PowellMethodMod_gr_255.gif]
[Graphics:../Images/PowellMethodMod_gr_256.gif]
[Graphics:../Images/PowellMethodMod_gr_257.gif]
[Graphics:../Images/PowellMethodMod_gr_258.gif]
[Graphics:../Images/PowellMethodMod_gr_259.gif]
[Graphics:../Images/PowellMethodMod_gr_260.gif]
[Graphics:../Images/PowellMethodMod_gr_261.gif]
[Graphics:../Images/PowellMethodMod_gr_262.gif]



[Graphics:../Images/PowellMethodMod_gr_263.gif]


[Graphics:../Images/PowellMethodMod_gr_264.gif]

[Graphics:../Images/PowellMethodMod_gr_265.gif]

[Graphics:../Images/PowellMethodMod_gr_266.gif]

[Graphics:../Images/PowellMethodMod_gr_267.gif]

[Graphics:../Images/PowellMethodMod_gr_268.gif]

[Graphics:../Images/PowellMethodMod_gr_269.gif]

[Graphics:../Images/PowellMethodMod_gr_270.gif]

[Graphics:../Images/PowellMethodMod_gr_271.gif]

[Graphics:../Images/PowellMethodMod_gr_272.gif]

[Graphics:../Images/PowellMethodMod_gr_273.gif]

[Graphics:../Images/PowellMethodMod_gr_274.gif]

[Graphics:../Images/PowellMethodMod_gr_275.gif]

[Graphics:../Images/PowellMethodMod_gr_276.gif]

[Graphics:../Images/PowellMethodMod_gr_277.gif]

Animation 2.  ( Powell's Method  Powell's Method ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004