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首页> 外文期刊>SIAM Journal on Optimization: A Publication of the Society for Industrial and Applied Mathematics >SECOND-ORDER VARIATIONAL ANALYSIS OF PARAMETRIC CONSTRAINT AND VARIATIONAL SYSTEMS
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SECOND-ORDER VARIATIONAL ANALYSIS OF PARAMETRIC CONSTRAINT AND VARIATIONAL SYSTEMS

机译：参数约束和变分系统的二阶变分析

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This paper is devoted to the generalized differential study of the normal cone mappings associated with a large class of parametric constraint systems (PCS) that appear, in particular, in nonpolyhedral conic programming. Conducting a local second-order analysis of such systems, we focus on computing the (primal-dual) graphical derivative of the normal cone mapping under the C-2-cone reducibility of the constraint set together with the fairly weak metric subregularity constraint qualification and its uniform parametric counterpart known as Robinson stability. The obtained precise formulas for computing the underlying second-order object are applied to the derivation of comprehensive conditions ensuring the important stability property of isolated calmness for solution maps to parametric variational systems associated with the given PCS.
机译：本文致力于与大类参数约束系统（PCS）相关的正常锥形映射的广义差异研究，特别是在非聚核圆锥形编程中。 进行对这种系统的本地二阶分析，我们专注于计算正常锥形映射下的（原始 - 双）图形衍生，并在约束的C-2锥形减少与相当弱的公制子标准限制资格和 它的均匀参数对手称为罗宾逊稳定性。 所获得的用于计算底层的二阶对象的精确公式应用于综合条件的推导，确保解决方案地图的分离平静的重要稳定性属性，与与给定PC相关联的参数变形系统。

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