A full‐Newton step interior‐point algorithm based on modified Newton direction

A full‐Newton step interior‐point algorithm based on modified Newton direction

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Article ID: iaor20119259
Volume: 39
Issue: 5
Start Page Number: 318
End Page Number: 322
Publication Date: Sep 2011
Journal: Operations Research Letters
Authors: ,
Keywords: interior point methods
Abstract:

The central path plays a very important role in interior‐point methods. By an equivalent reformulation of the central path, we obtain a new search direction. The new direction targets a small neighborhood of the central path. Based on this search direction, we present a full‐Newton step interior‐point algorithm. The complexity bound of the algorithm is the best known for linear optimization.

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