be any real value for which 
is NCP.Algorithm 9.9.
Initialization
A1) Let t = 1.
A2) Let be any real value for which is NCP.
Main cycle of the algorithm:
While 
, perform repeatedly steps B1-B4.
B1) If 
or adj
has a negative entry, then let 
and go to B4, else continue at B2.
B2) Let 
denote the spectrum of 
. If contains only nonnegative elements, then stop. (
is unbounded.)
B3) Let 
.
B4) Let t = t+ 1.
Normal termination
C1) Let 
.
C2) Stop.