bibkey: dorflerbullo2013kron authors: Florian Dörfler; Francesco Bullo year: 2013 title: Kron Reduction of Graphs With Applications to Electrical Networks doi: 10.1109/TCSI.2012.2215780 url: https://arxiv.org/abs/1102.2950 claim: Kron reduction is Schur complementation of the internal block of a weighted network Laplacian; it describes the static retained network under the stated invertibility assumptions. strata_touched: [] license: citation-only triage: anchor

Static network reduction and dynamic boundary response

IEEE Transactions on Circuits and Systems I: Regular Papers 60(1), 150–163. The arXiv preprint is Kron Reduction of Graphs with Applications to Electrical Networks, arXiv:1102.2950; Crossref identifies the journal title, authors, pages and DOI. The preprint’s introductory network equations, Preliminaries and Notation, and §2.1 (The Kron Reduction Process) define the retained matrix by the Schur complement.

The FIB boundary geometry volume §§18 and 20 uses this static mechanism as an intermediate. Its quadratic minimum also reuses the repository’s SchurMinimum.schur_quadratic_is_least. Neither static reduction nor the paper’s graph interpretation supplies an arbitrary-initial-state dynamic prediction summary. The volume’s three-node vector chain compares those contracts explicitly: static Schur response zero, current output three real components, complete linear initial-state prediction nine real components.