Introduction to Optimization

In mathematics, optimization is described as maximizing or minimizing an objective function subject to some set of contraints. Depending on the structure of the contraints and objective function, we can utilitize different sets of mathematical tools for different structured problems. In particular, if we assume that the contraints and objective function are convex, then the problem becomes easier and more reliable to solve. This is due in part by duality theory, which associates another optimization problem (the dual) to a given problem (the primal). The notion of duality has had a huge impact as some dual problems are much easier to solve than their primal counterparts.

Optimization Community

The purpose of this website is to provide a resource for the optimization community. More precisely, a site where mathematicians and engineers can work together in relative ease. From my experiences in the mathematical community, I've notice a lack of communication between industrial engineers and pure mathematicians. In the past, standard communication between these two disiplines has been a focuse of conferences and meetings. These conferences tend to be time consuming and sometimes inefficient.

As a possible solution, we consider an active online community which emphasizes dialog on a variety of published articles. This website will provide the framework for open discussions on popular research papers. It seems likely that open discourse will accelerate vitial communcation across disiplines.

All comments (negative and positive) are welcome, please contact me VIA email Trienism@hotmail.com.

Recent News and Events

  • Fall of 2008 - West Coast Optimization Meeting (WCOM)
  • May of 2008 - Siam Conference on Optimization (OP08)
  • June of 2008 - International Conference on Engineering Optimization (EngOpt)
  • May of 2008 - CORS/Optimization Days 2008 joint conference (CORS/O)

Featured Articles

Article
Field
Authors
Discussion
Smooth & Nonsmooth Analysis
Heinz Bauschke, Yves Lucet, Mike Trienis
Numerical Analysis
Yves Lucet, Heinz Bauschke, Mike Trienis