论文标题

短期方法不是强烈的多项式时间

Short-step Methods Are Not Strongly Polynomial-Time

论文作者

Zong, Manru, Lee, Yin Tat, Yue, Man-Chung

论文摘要

短期方法是解决凸的约束优化问题的重要类别。在这篇简短的论文中,我们表明,在非常温和的假设下,$ \ ell_2 $ -neighbourhood的宽度和宽度,任何短期的内点方法都不是强烈的多项式时间。

Short-step methods are an important class of algorithms for solving convex constrained optimization problems. In this short paper, we show that under very mild assumptions on the self-concordant barrier and the width of the $\ell_2$-neighbourhood, any short-step interior-point method is not strongly polynomial-time.

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