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A lower bound for the mixed μ problem

机译:混合μ问题的下界

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摘要

The mixed μ problem has been shown to be NP hard so that exact analysis appears intractable. Our goal then is to exploit the problem structure so as to develop a polynomial time algorithm that approximates μ and usually gives good answers. To this end it is shown that μ is equivalent to a real eigenvalue maximization problem, and a power algorithm is developed to tackle this problem. The algorithm not only provides a lower bound for μ but has the property that μ is (almost) always an equilibrium point of the algorithm
机译:混合μ问题已证明是NP难题,因此进行精确的分析似乎很困难。然后,我们的目标是开发问题结构,以便开发一种近似于μ且通常给出良好答案的多项式时间算法。为此,证明了μ等于一个实际的特征值最大化问题,并且开发了一种幂算法来解决该问题。该算法不仅提供了μ的下界,而且具有μ(几乎)始终是该算法的平衡点的特性

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