标题： 分裂算法与电路分析 显示英文标题

标题： Splitting algorithms and circuit analysis

摘要： 单调算子理论中的分裂算法用于寻找关系和的零点。这对应于求解串联或并联单口电路，或者两个子系统的负反馈互连。具有串联和并联互连的一口电路，或者具有多条前馈和反馈路径的框图，会产生由嵌套和与逆组成的电流-电压关系。在这篇扩展摘要中，我们提出了新的分裂算法，特别适用于这些结构，用于单调和反单调关系的互连。 显示英文摘要

摘要： The splitting algorithms of monotone operator theory find zeros of sums of relations. This corresponds to solving series or parallel one-port electrical circuits, or the negative feedback interconnection of two subsystems. One-port circuits with series and parallel interconnections, or block diagrams with multiple forward and return paths, give rise to current-voltage relations consisting of nested sums and inverses. In this extended abstract, we present new splitting algorithms specially suited to these structures, for interconnections of monotone and anti-monotone relations.