Abstract

Morton et al. [1] describe a greedy algorithm for solving a class of convex programming problems. The algorithm is validated by the use of polymatroid theory. In the present paper we establish the validity of the algorithm by a more elementary argument using the well known Karush-Kuhn-Tucker optimality conditions. In [1] it is shown that a variant of the above mentioned greedy algorithm solves a related quadratic programming problem. Here we show that the variant in fact solves a slightly more general problem.

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