%0 Journal Article %J J. Optimization Theory and Applications %D 2012 %T The Accuracy of Interior-Point Methods Based on Kernel Functions %A Manuel V. C. Vieira %N 2 %P 637-649 %V 155 %X

For the last decade, interior-point methods that use barrier functions induced by some real univariate kernel functions have been studied. In these interior-point methods, the algorithm stops when a solution is found such that it is close (in the barrier function sense) to a point in the central path with the desired accuracy. However, this does not directly imply that the algorithm generates a solution with prescribed accuracy. Until now, this had not been appropriately addressed. In this paper, we analyze the accuracy of the solution produced by the aforementioned algorithm.

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