Example 1.  Find the  A = LU factorization for the matrix  [Graphics:Images/CholeskyMod_gr_15.gif]  using the Doolittle method.  

Solution 1.

Enter the matrix.

[Graphics:../Images/CholeskyMod_gr_16.gif]

Invoke the subroutine Doolittle.  

[Graphics:../Images/CholeskyMod_gr_17.gif]
[Graphics:../Images/CholeskyMod_gr_18.gif] [Graphics:../Images/CholeskyMod_gr_19.gif] [Graphics:../Images/CholeskyMod_gr_20.gif] [Graphics:../Images/CholeskyMod_gr_21.gif] [Graphics:../Images/CholeskyMod_gr_22.gif] [Graphics:../Images/CholeskyMod_gr_23.gif] [Graphics:../Images/CholeskyMod_gr_24.gif]

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003