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Unconstrained Optimization

  • Osman Güler
Chapter
Part of the Graduate Texts in Mathematics book series (GTM, volume 258)

Abstract

In optimization theory, the optimality conditions for interior points are usually much simpler than the optimality conditions for boundary points. In this chapter, we deal with the former, easier case. Boundary points appear more prominently in constrained optimization, when one tries to optimize a function, subject to several functional constraints. For this reason, the optimality conditions for boundary points are generally discussed in constrained optimization, whereas the optimality conditions for interior points are discussed in unconstrained optimization, regardless of whether the optimization problem at hand has constraints.

Keywords

Saddle Point Global Minimizer Symmetric Matrix Lower Semicontinuous Implicit Function Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer New York 2010

Authors and Affiliations

  1. 1.Department of Mathematics & StatisticsUniversity of MarylandBaltimoreUSA

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