Example 6.  Use Jacobi and Gauss-Seidel iteration to solve the linear system  [Graphics:Images/GaussSeidelMod_gr_245.gif].  
Use a tolerance of  [Graphics:Images/GaussSeidelMod_gr_246.gif]  and a maximum of  50  iterations.

Solution 6.

Enter the matrix A, vector B and starting vector P.

[Graphics:../Images/GaussSeidelMod_gr_247.gif]



[Graphics:../Images/GaussSeidelMod_gr_248.gif]

[Graphics:../Images/GaussSeidelMod_gr_249.gif]



[Graphics:../Images/GaussSeidelMod_gr_250.gif]



[Graphics:../Images/GaussSeidelMod_gr_251.gif]
[Graphics:../Images/GaussSeidelMod_gr_252.gif]
[Graphics:../Images/GaussSeidelMod_gr_253.gif]
[Graphics:../Images/GaussSeidelMod_gr_254.gif]
[Graphics:../Images/GaussSeidelMod_gr_255.gif]
[Graphics:../Images/GaussSeidelMod_gr_256.gif]
[Graphics:../Images/GaussSeidelMod_gr_257.gif]
[Graphics:../Images/GaussSeidelMod_gr_258.gif]
[Graphics:../Images/GaussSeidelMod_gr_259.gif]
[Graphics:../Images/GaussSeidelMod_gr_260.gif]
[Graphics:../Images/GaussSeidelMod_gr_261.gif]
[Graphics:../Images/GaussSeidelMod_gr_262.gif]
[Graphics:../Images/GaussSeidelMod_gr_263.gif]
[Graphics:../Images/GaussSeidelMod_gr_264.gif]
[Graphics:../Images/GaussSeidelMod_gr_265.gif]
[Graphics:../Images/GaussSeidelMod_gr_266.gif]
[Graphics:../Images/GaussSeidelMod_gr_267.gif]
[Graphics:../Images/GaussSeidelMod_gr_268.gif]
[Graphics:../Images/GaussSeidelMod_gr_269.gif]
[Graphics:../Images/GaussSeidelMod_gr_270.gif]
[Graphics:../Images/GaussSeidelMod_gr_271.gif]
[Graphics:../Images/GaussSeidelMod_gr_272.gif]
[Graphics:../Images/GaussSeidelMod_gr_273.gif]
[Graphics:../Images/GaussSeidelMod_gr_274.gif]
[Graphics:../Images/GaussSeidelMod_gr_275.gif]
[Graphics:../Images/GaussSeidelMod_gr_276.gif]
[Graphics:../Images/GaussSeidelMod_gr_277.gif]

[Graphics:../Images/GaussSeidelMod_gr_278.gif]

How many iterations did Jacobi iteration use ?

[Graphics:../Images/GaussSeidelMod_gr_279.gif]



[Graphics:../Images/GaussSeidelMod_gr_280.gif]
[Graphics:../Images/GaussSeidelMod_gr_281.gif]
[Graphics:../Images/GaussSeidelMod_gr_282.gif]
[Graphics:../Images/GaussSeidelMod_gr_283.gif]
[Graphics:../Images/GaussSeidelMod_gr_284.gif]
[Graphics:../Images/GaussSeidelMod_gr_285.gif]
[Graphics:../Images/GaussSeidelMod_gr_286.gif]
[Graphics:../Images/GaussSeidelMod_gr_287.gif]
[Graphics:../Images/GaussSeidelMod_gr_288.gif]
[Graphics:../Images/GaussSeidelMod_gr_289.gif]
[Graphics:../Images/GaussSeidelMod_gr_290.gif]
[Graphics:../Images/GaussSeidelMod_gr_291.gif]
[Graphics:../Images/GaussSeidelMod_gr_292.gif]
[Graphics:../Images/GaussSeidelMod_gr_293.gif]
[Graphics:../Images/GaussSeidelMod_gr_294.gif]

[Graphics:../Images/GaussSeidelMod_gr_295.gif]

How many iterations did Gauss-Seidel iteration use ?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004