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Splitting algorithms and circuit analysis

Authors :
Chaffey, Thomas
Das, Amritam
Sepulchre, Rodolphe
Publication Year :
2022

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.<br />Comment: To be presented at MTNS 2022

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2208.04765
Document Type :
Working Paper