Chapter 14  Unconstrained and Constrained Optimization Problems

Shuguang Cui, Anthony Man-Cho So, and Rui Zhang

Texas A&M University, College Station, USA

The Chinese University of Hong Kong, Hong Kong, China

National University of Singapore, Singapore

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, 2, 3, 4] for expositions of these results and other further ...

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