We are concerned with finite linear constraint systems in a parametric framework where the right-hand side is an affine function of the perturbation parameter. Such structured perturbations provide a unified framework for different parametric models in the literature, as block, directional and/or partial perturbations of both inequalities and equalities. We extend some recent results about calmness of the feasible set mapping and provide an application to the convergence of a certain path-following algorithmic scheme. We underline the fact that our formula for the calmness modulus depends only on the nominal data, which makes it computable in practice.

中文翻译：

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结构化扰动下线性约束系统的平稳性及其在路径跟随方案中的应用

我们关注参数框架中的有限线性约束系统，其中右侧是扰动参数的仿射函数。这种结构化扰动为文献中的不同参数模型提供了统一的框架，如不等式和等式的块扰动、方向扰动和/或部分扰动。我们扩展了最近关于可行集映射的平静性的一些结果，并提供了对某个路径跟随算法方案收敛的应用。我们强调一个事实，即我们的平静模数公式仅取决于名义数据，这使得它在实践中是可计算的。