  This work aims to introduce the framework of polynomial optimization theory
to solve fractional polynomial problems (FPPs). Unlike other widely used
optimization frameworks, the proposed one applies to a larger class of FPPs,
not necessarily defined by concave and convex functions. An iterative algorithm
that is provably convergent and enjoys asymptotic optimality properties is
proposed. Numerical results are used to validate its accuracy in the
non-asymptotic regime when applied to the energy efficiency maximization in
multiuser multiple-input multiple-output communication systems.
