Browsing by Author "Gidey, Tadesse"
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Item On the Penalty Method in Optimization; Theory and Numerical Realization.(Addis Ababa,University, 2005-07) Gidey, Tadesse; R.Deumlich, habiI.(AssociateProfessor)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.