--------------------------------------------------------------- 4 12 100 1 1 1 2 2 2 3 3 3 4 4 4 1 2 3 1 2 4 1 3 4 2 3 4 4.0 -1.0 -1.0 -1.0 4.0 -1.0 -1.0 4.0 -1.0 -1.0 -1.0 4.0 .0 .01000.01000.0 Example 8 (please see above) A symmetric system. (f6.1) --------------------------------------------------------------- ---------------------------------------------------------------- 3 9 100 1 1 1 2 2 2 3 3 3 1 2 3 1 2 3 1 2 3 0.0000030.2134720.3321470.2155120.3756230.4766250.1732570.6632570.625675 0.2352620.1276530.285321 Example 7 (please see above) Wilkinson example. (The importance of the pivot selection.) (f8.6) ------------------------------------------------------------------ ------------------------------------------------------------------ 10 28 100 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 91010 1 2 1 2 3 2 3 4 3 4 5 4 5 6 5 6 7 6 7 8 7 8 9 8 910 910 2.0 1.0 1.0 2.0 1.0 1.0 2.0 1.0 1.0 2.0 1.0 1.0 2.0 1.0 1.0 2.0 1.0 1.0 2.0 1.0 1.0 2.0 1.0 1.0 2.0 1.0 1.0 2.0 3.0 4.0 4.0 4.0 4.0 4.0 4.0 4.0 4.0 3.0 Example 4 (please see above) (f4.1) -------------------------------------------------------------------- 10 46 100 1 1 1 1 1 2 2 2 2 2 2 3 3 3 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 9 9 9 1010101010 9 1 3 7 810 2 5 6 7 810 1 310 2 6 7 810 1 3 4 7 810 2 6 7 8 9 1 3 5 9 2 6 9 1 3 9 2 5 7 8 9 7 1.0 3.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 1.0 1.0 1.0 1.0 4.0 1.0 1.0 1.0 2.0 2.0 1.0 1.0 1.0 1.0 3.0 2.0 1.0 2.0 2.0 1.0 1.0 1.0 1.0 2.0 3.0 1.0 1.0 1.0 5.0 18.025.0 5.017.028.023.022.016.026.028.0 Example 3 (please see above) (f4.1) --------------------------------------------------------------------- --------------------------------------------------------------------- 10 45 100 1 1 1 1 1 2 2 2 2 2 2 3 3 3 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 9 9 9 1010101010 1 3 7 810 2 5 6 7 810 1 310 2 6 7 810 1 3 4 7 810 2 6 7 8 9 1 3 5 9 2 6 9 1 3 9 2 5 7 8 9 1.0 3.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 1.0 1.0 1.0 1.0 2.0 1.0 1.0 1.0 1.0 1.0 1.0 4.0 1.0 1.0 1.0 2.0 2.0 1.0 1.0 1.0 1.0 3.0 2.0 1.0 2.0 2.0 1.0 1.0 1.0 1.0 2.0 3.0 1.0 1.0 1.0 18.025.0 5.017.028.023.022.016.0 6.028.0 Example 2 (please see above) (f4.1) ----------------------------------------------------------------------- ----------------------------------------------------------------------- 5 18 100 1 1 1 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 1 3 5 1 2 4 5 2 3 4 1 3 4 5 2 3 4 5 2.0 1.0 1.0 1.0 2.0 3.0 1.0 4.0 1.0 1.0 5.0 1.0 1.0 1.0 6.0 1.0 2.0 1.0 10.022.015.017.028.0 Example 1 (please see above) (f4.1) -----------------------------------------------------------------------