论文标题
分裂算法和电路分析
Splitting algorithms and circuit analysis
论文作者
论文摘要
单调算子理论的分裂算法找到了关系总和的零。这对应于求解序列或平行的单端口电路，或两个子系统的负反馈互连。具有串联和并行互连的单端口电路，或带有多个正向和返回路径的框图，会产生由嵌套总和和倒置组成的当前电压关系。在这个扩展的摘要中，我们提出了新的分裂算法，特别适合这些结构，用于单调和抗单酮关系的互连。
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.
