Example 2.  Solve the 31 by 31 system  [Graphics:Images/Tri-DiagonalMod_gr_90.gif]  in Example 1 using our TriDiagonal[a,d,c,b] subroutine.  Compute the solution using decimal.  

Solution 2 (a).

[Graphics:../Images/Tri-DiagonalMod_gr_91.gif]

[Graphics:../Images/Tri-DiagonalMod_gr_92.gif]

[Graphics:../Images/Tri-DiagonalMod_gr_93.gif]

[Graphics:../Images/Tri-DiagonalMod_gr_94.gif]

[Graphics:../Images/Tri-DiagonalMod_gr_95.gif]

[Graphics:../Images/Tri-DiagonalMod_gr_96.gif]

[Graphics:../Images/Tri-DiagonalMod_gr_97.gif]


[Graphics:../Images/Tri-DiagonalMod_gr_98.gif]

We can compare this answer with the previous one in Example 1.

[Graphics:../Images/Tri-DiagonalMod_gr_99.gif]


[Graphics:../Images/Tri-DiagonalMod_gr_100.gif]

Mathematica is able to get a slightly better answer.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004