Recently Cambini and Carosi described a characterization of pseudolinearity of quadratic fractional functions. A reformulation of their result was given by Rapcsák. Using this reformulation, in this paper we describe an alternative proof of the Cambini--Carosi Theorem. Our proof is shorter than the proof given by Cambini--Carosi and less involved than the proof given by Rapcsák. As an application we present a simplex-type algorithm for optimizing a pseudolinear quadratic fractional function over a polytope. Our algorithm works in a more general setting than the convex simplex algorithm adapted to the above problem.
unpublished: ORR report 2006-01