and subtract A from all columns of J, - A from all rows of I to obtain (9), which
here holds for more general J except that c(' = 0 for IJ is modified to c(2) > 0.
Then (10) and (11) also hold.
Step 3 is illustrated in the matrix C(2) of Table 3 where A = = 2. The
contribution to the bounding set sum is S(2) = 2(19) = 38 units.
There are corresponding results when column and row are interchanged. Thus
the subtraction of 2 units from rows 1 and 2, -2 units from columns 1, 2, 4,
lead to the same C(3).
Application of step 3 is continued until the matrix is completely reduced with
no subset of columns (rows) deficien