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Archives >> 2009 >> Ojarikre, H.I.

 

ON THE EFFICIENCY OF SUBGRADIENT PROJECTION METHOD FOR CONSTRAINED CONVEX PROBLEMS
 

Ojarikre, H.I
 

Department of Mathematics and Computer Science,

Delta State University, Abraka,

 

ABSTRACT

In this paper, we shall consider the necessary and sufficient conditions for convex optimization using sub-gradient projection onto successive approximation of level sets.  The second order conditions are stated through an associated linear-quadratic problem using the prima-dual decomposition techniques.  A numerical illustration is given to show the efficiency of this method.

 

KEYWORDS: Subgradient projection, level sets admissible step size, linearization, descent bundle method.

 

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