Advanced interference calculus - a general framework for interference coordination

The optimization of interference-coupled multiuser networks is generally complicated by adaptive transmit or receive strategies, which often result in non-convex problem formulations. In the literature, it has been observed that some such problems can be solved by using the theory of interference functions. In this paper we discuss these results within a unifying framework, and we identify key properties which lead to observed convergence behaviors. Among the studied properties, convexity is not the most basic one. Sometimes, globally convergent algorithms can be derived from certain monotonicity and scalability properties alone.