Computational methods in algebraic and analytical models

The present minisymposium explains how commutative and computational algebra, linear and non-linear algebra, algebraic graph theory and combinatorics could help applied science for giving solutions on real problems concerning different sectors. The proposal covers recent developments dealing with these topics in order to translate or evaluate theoretic results into concrete realities. Algebraic and analytical models are becoming increasingly significant because they are directed to other areas of sciences and technology. They are being actively considered in various fields such as physical, statistical, medical ones and in biochemistry, engineering, computer science, and so on. For example, models of this type are substantially given by graphs and matrices in algebraic systems. They are basically used to represent relations and processes in more contexts: telecommunication systems, interchange networks, transportation optimal plan of indivisible goods, microwave engineering in resonant structures, coding theory, data organization, flows of computation, research algorithms for the web, etc. Algebraic and analytical models are a universal instrument for any kind of question that can be modelled by polynomial equations and also one of the most powerful methods in commutative algebra and algebraic geometry. The range of theoretical issues and applications related to them is enormous; it includes theoretical physics, computational graphic, electromagnetic parameters, and similar scientific layouts, since a lot of problems in such branches can be represented by algebra and numerical analysis (ideals, modules, matrices). For instance, the Groebner bases of toric ideals or those of hypersimplexes are an algebraic tool used by researchers in optimization problems, statistical processing, signal and image reshaping, computer vision science, and in the field of security to encrypt messages or to transmit confidential information. The purpose of the minisymposium is that to collect recent experiences of researches for discussing several applications of mathematical models in different scientific areas.