Work

Splitting algorithms and circuit analysis

Year: 2022

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2208.04765

Authors: Chaffey, Thomas, Das, Amritam, Sepulchre, Rodolphe

Institutions: University of Cambridge, Bridge University, KTH Royal Institute of Technology

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4290802996

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