Linear algebra and approximation problems in wireless algorithms design

The talk is intended to shed light on several (4–5) mathematical problems which are to be solved in order to improve robustness and flexibility of wireless multi-user communication systems. The first part of the talk is dedicated to the methods of solving a linear equation system with noised right hand component (including “white” and “colored” noise). The second part describes a global optimization problem of resource allocation and users’ signals distinguishing, which should be solved both in a centralized and a distributed manner. Topics are relevant to researchers working on approximation problems, probability estimation, regression analysis and distributed optimization in multi-agent systems.