On the Penalty Method in Optimization; Theory and Numerical Realization.
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Date
2005-07
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Addis Ababa,University
Abstract
In this thesis, we deal with a theoretical basis of optimization in general and on numerical
methods in particular. Here the penalty methods are in the foreground . Some generalizations
for theorems into arbitrary metric space with mild assumptions (Theorem 2.1.3 and 3.1.3) are
done. In addition, a numerical computation is presented and tested, with the code written in
Mathematica 4.1 . Comparisons are made for different choice of the penalty function with
respect to convergence speed and objective value.
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On the Penalty Method In Optimization;