The electromagnetic interaction between antenna elements is referred to as mutual coupling. This phenomenon can cause undesirable effects in an antenna array such as distortion of the radiation pattern and loss of efficiency. This report models mutual coupling in a scattering parameter context and utilizes microwave network theory to establish a set of nonlinear simultaneous equations describing a compensation network. Iterative numerical techniques are then used to solve for the parameters of the compensation network. Three specific networks are investigated. Compensation examples are presented for two and eight element arrays.