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arXiv · 2208.04765

Splitting algorithms and circuit analysis

Thomas Chaffey·Amritam Das·Rodolphe Sepulchre
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Abstract

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.

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Thomas Chaffey, Amritam Das, Rodolphe Sepulchre. 2022-08-09. Splitting algorithms and circuit analysis. https://arxiv.org/abs/2208.04765

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