Abstract-Energy efficiency (EE) is becoming one of the important criteria in wireless transmission design. This paper discusses the recently proposed energy-efficient transmit beamforming designs for multicell multiuser multiple-input single-output (MISO) systems, including maximizing overall network EE, sum weighted EE and fairness EE. Generally, the EE optimization problems are NP-hard nonconvex programs for which finding the globally optimal solutions is challenging. For low-complexity suboptimal approaches, there is a class of solutions conventionally developed based on parametric transformations. However, those have been revealed problematic in terms of computational complexity and convergence. To overcome these issues, novel algorithms have been recently developed based on the state-of-the-art successive convex approximation (SCA) framework. Here we sum up the basic concepts of the algorithms and provide numerical results which illustrate the solution quality compared to the existing methods.I. INTRODUCTION Fifth generation (5G) wireless networks visions foresee the challenges of traffic demand set by the upcoming explosive growth of wireless devices and applications [1]. To increase the achievable rates, the total energy consumption inevitably increases due to the high power feeding for the multipleantenna transmissions and involved circuit components in wireless transceivers. Thus energy efficiency (EE) has become an important criteria in cellular communications, also due to the concerns on greenhouse gas emission [2], [3].Energy efficiency is generally defined as the ratio of the total throughput over the total power consumption of the network. It is notable that increasing the network throughput by increasing the transmit power does not always improve the achievable EE, because the power consumption also increases. Thus, finding the optimal energy-efficient operating point is essential and has become the focus in a large portion of recent works [2], [3], which investigate energy-efficient transmission strategies regarding to three main criteria, i.e., network EE (NEE), sum weighted EE (SWEE) and max-min fairness EE (maxminEE) [4]. While the first metric optimizes the EE gain of the entire network, the two other ones aim at satisfying the specific EE requirements on individual parties involved. In general, the EE maximization (EEmax) problem for each metric belongs to the class of NP-hard problems, namely fractional program for which finding a globally optimal solution is challenging. Thus, suboptimal approaches that achieve a stationary solution (i.e., a solution that satisfies the Karush-Kuhn-Tucker (KKT)