We consider the sensitivity of real zeros of structured polynomial systems to perturbations of their coefficients. In particular, we provide explicit estimates for condition numbers of structured random real polynomial systems, and extend these estimates to the smoothed analysis setting.

翻译：我们考虑结构化多元系统实际零点对影响其系数的敏感度。 特别是,我们为结构化随机实际多元系统的条件数量提供明确的估计,并将这些估计扩大到平滑的分析环境。