Unconstrained and constrained optimization problems
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2011 by Taylor & Francis Group, LLC. In the first section of this chapter, we will give an overview of the basic mathematical tools that are useful for analyzing both unconstrained and constrained optimization problems. In order to allow the readers to focus on the applications of these tools and not to be burdened with too many technical details, we shall state most of the results without proof. However, the readers are strongly encouraged to refer to the texts [1-4] for expositions of these results and other further developments. In the second section, we provide three application examples to illustrate how we could apply the optimization techniques to solve real-world problems, with a focus on communications, networking, and signal processing. In the last section, several exercise questions are given to help the audience gain a deeper understanding of the material.
