Solving Fractional Polynomial Problems by Polynomial Optimization Theory
Information Theory
2018-10-17 v1 Signal Processing
math.IT
Abstract
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.
Cite
@article{arxiv.1806.07220,
title = {Solving Fractional Polynomial Problems by Polynomial Optimization Theory},
author = {Andrea Pizzo and Alessio Zappone and Luca Sanguinetti},
journal= {arXiv preprint arXiv:1806.07220},
year = {2018}
}
Comments
5 pages, 2 figures, 1 table, submitted to Signal Processing Letters