ON A MAXIMIZATION PROBLEM ARISING FROM A POSITIVE RECIPROCAL MATRIX IN AHP
Shunsuke Shiraishi, Tsuneshi Obata · Bulletin of informatics and cybernetics · 2002
The maximization of the third coefficient of the characteristic polynomial has been proved useful. It has a posynomial form as a function of entries of a positive reciprocal matrix. Hence one can transform it to a convex function. We will prove the existence of a solution of the minimization problem of the resulting convex function.