Matches in SemOpenAlex for { <https://semopenalex.org/work/W2962910558> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2962910558 endingPage "163" @default.
- W2962910558 startingPage "150" @default.
- W2962910558 abstract "Consider a weighted undirected graph and its corresponding Laplacian matrix, possibly augmented with additional diagonal elements corresponding to self-loops. The Kron reduction of this graph is again a graph whose Laplacian matrix is obtained by the Schur complement of the original Laplacian matrix with respect to a specified subset of nodes. The Kron reduction process is ubiquitous in classic circuit theory and in related disciplines such as electrical impedance tomography, smart grid monitoring, transient stability assessment, and analysis of power electronics. Kron reduction is also relevant in other physical domains, in computational applications, and in the reduction of Markov chains. Related concepts have also been studied as purely theoretic problems in the literature on linear algebra. In this paper we analyze the Kron reduction process from the viewpoint of algebraic graph theory. Specifically, we provide a comprehensive and detailed graph-theoretic analysis of Kron reduction encompassing topological, algebraic, spectral, resistive, and sensitivity analyses. Throughout our theoretic elaborations we especially emphasize the practical applicability of our results to various problem setups arising in engineering, computation, and linear algebra. Our analysis of Kron reduction leads to novel insights both on the mathematical and the physical side." @default.
- W2962910558 created "2019-07-30" @default.
- W2962910558 creator A5068353454 @default.
- W2962910558 creator A5091434894 @default.
- W2962910558 date "2013-01-01" @default.
- W2962910558 modified "2023-10-18" @default.
- W2962910558 title "Kron Reduction of Graphs With Applications to Electrical Networks" @default.
- W2962910558 cites W1498989325 @default.
- W2962910558 cites W1521492382 @default.
- W2962910558 cites W1524826225 @default.
- W2962910558 cites W1542938076 @default.
- W2962910558 cites W1606815384 @default.
- W2962910558 cites W1983224659 @default.
- W2962910558 cites W1983677661 @default.
- W2962910558 cites W1988420772 @default.
- W2962910558 cites W1995051706 @default.
- W2962910558 cites W1999683177 @default.
- W2962910558 cites W2000106105 @default.
- W2962910558 cites W2009561564 @default.
- W2962910558 cites W2017587938 @default.
- W2962910558 cites W2042534939 @default.
- W2962910558 cites W2042624802 @default.
- W2962910558 cites W2043883312 @default.
- W2962910558 cites W2049732772 @default.
- W2962910558 cites W2050351695 @default.
- W2962910558 cites W2054078412 @default.
- W2962910558 cites W2054897957 @default.
- W2962910558 cites W2058492355 @default.
- W2962910558 cites W2076736217 @default.
- W2962910558 cites W2077350444 @default.
- W2962910558 cites W2085170137 @default.
- W2962910558 cites W2098210428 @default.
- W2962910558 cites W2102958772 @default.
- W2962910558 cites W2104849640 @default.
- W2962910558 cites W2118469889 @default.
- W2962910558 cites W2132850926 @default.
- W2962910558 cites W2151386472 @default.
- W2962910558 cites W2151891567 @default.
- W2962910558 cites W2161984370 @default.
- W2962910558 cites W2167064216 @default.
- W2962910558 cites W2964350268 @default.
- W2962910558 cites W391578156 @default.
- W2962910558 cites W4254980318 @default.
- W2962910558 cites W585033315 @default.
- W2962910558 cites W68634354 @default.
- W2962910558 doi "https://doi.org/10.1109/tcsi.2012.2215780" @default.
- W2962910558 hasPublicationYear "2013" @default.
- W2962910558 type Work @default.
- W2962910558 sameAs 2962910558 @default.
- W2962910558 citedByCount "607" @default.
- W2962910558 countsByYear W29629105582012 @default.
- W2962910558 countsByYear W29629105582013 @default.
- W2962910558 countsByYear W29629105582014 @default.
- W2962910558 countsByYear W29629105582015 @default.
- W2962910558 countsByYear W29629105582016 @default.
- W2962910558 countsByYear W29629105582017 @default.
- W2962910558 countsByYear W29629105582018 @default.
- W2962910558 countsByYear W29629105582019 @default.
- W2962910558 countsByYear W29629105582020 @default.
- W2962910558 countsByYear W29629105582021 @default.
- W2962910558 countsByYear W29629105582022 @default.
- W2962910558 countsByYear W29629105582023 @default.
- W2962910558 crossrefType "journal-article" @default.
- W2962910558 hasAuthorship W2962910558A5068353454 @default.
- W2962910558 hasAuthorship W2962910558A5091434894 @default.
- W2962910558 hasBestOaLocation W29629105582 @default.
- W2962910558 hasConcept C111335779 @default.
- W2962910558 hasConcept C2524010 @default.
- W2962910558 hasConcept C33923547 @default.
- W2962910558 hasConcept C41008148 @default.
- W2962910558 hasConceptScore W2962910558C111335779 @default.
- W2962910558 hasConceptScore W2962910558C2524010 @default.
- W2962910558 hasConceptScore W2962910558C33923547 @default.
- W2962910558 hasConceptScore W2962910558C41008148 @default.
- W2962910558 hasIssue "1" @default.
- W2962910558 hasLocation W29629105581 @default.
- W2962910558 hasLocation W29629105582 @default.
- W2962910558 hasLocation W29629105583 @default.
- W2962910558 hasOpenAccess W2962910558 @default.
- W2962910558 hasPrimaryLocation W29629105581 @default.
- W2962910558 hasRelatedWork W1974891317 @default.
- W2962910558 hasRelatedWork W2044189972 @default.
- W2962910558 hasRelatedWork W2313400459 @default.
- W2962910558 hasRelatedWork W2538049348 @default.
- W2962910558 hasRelatedWork W2748952813 @default.
- W2962910558 hasRelatedWork W2783434815 @default.
- W2962910558 hasRelatedWork W2899084033 @default.
- W2962910558 hasRelatedWork W2913765211 @default.
- W2962910558 hasRelatedWork W3032668683 @default.
- W2962910558 hasRelatedWork W4245490552 @default.
- W2962910558 hasVolume "60" @default.
- W2962910558 isParatext "false" @default.
- W2962910558 isRetracted "false" @default.
- W2962910558 magId "2962910558" @default.
- W2962910558 workType "article" @default.