ON CHARACTERIZING THE SOLUTION SETS OF PSEUDOLINEAR PROGRAMS

This paper provides several new and simple characterizations of the so lution sets of pseudolinear programs. By means of the basic properties of pseudolinearity, the solution set of a pseudolinear program is cha racterized, for instance, by the equality that del f(x)(T)(<(x)over ba r-x> x)=0, for each feasible point x, where (x) over bar is in the sol ution set. As a consequence, we give characterizations of both the sol ution set and the boundedness of the solution set of a linear fraction al program.