Partition functions of a canonical ensemble of non-interacting bound electrons are a key ingredient of the super-transition-array approach to the computation of radiative opacity. A few years ago, we published a robust and stable recursion relation for the calculation of such partition functions. In this paper, we propose an optimization of the latter method and explain how to implement it in practice. The formalism relies on the evaluation of elementary symmetric polynomials, which opens the way to further improvements.

中文翻译：

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超级配置方法中优化分区函数计算的递归关系

非相互作用束缚电子的典范集合的分区函数是计算辐射不透明度的超跃迁阵列方法的关键要素。几年前，我们发布了一种健壮且稳定的递归关系来计算此类分区函数。在本文中，我们对后一种方法进行了优化，并说明了如何在实践中实现该方法。形式主义依赖于基本对称多项式的求值，这为进一步改进开辟了道路。