Article ID Journal Published Year Pages File Type
421366 Discrete Applied Mathematics 2008 22 Pages PDF
Abstract

In this paper we develop new primal–dual interior-point methods for linear programming problems, which are based on the concept of parabolic target space. We show that such schemes work in the infinity-neighborhood of the primal–dual central path. Nevertheless, these methods possess the best known complexity estimate. We demonstrate that the adaptive-step path-following strategies can be naturally incorporated in such schemes.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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