IEEE Transactions on Power Systems · 1988 · 46 citations · 8 references
ComputingComputer ScienceElectrical EngineeringAlgorithmsOptimizationSystems AnalysisDimension ReductionGraph AlgorithmsNodal AnalysisPower Grid AnalysisGraph-based Matrix OrderingNode OrderingSparse Linear AlgebraSparse Matrix AlgorithmsSparse Matrix ComputationSparse Matrix TechniquesSparse Vector Modeling
The authors present a novel node-ordering algorithm to enhance sparse vector methods in power system analysis. The proposed technique locally minimizes the number of nonzero elements of the inverse of the table of factors. It uses the cardinality of the set of nodes which precede each node in the path graph as a tie-break criterion in the minimum degree elimination process. Test results are included showing that the method performs better than previously published methods.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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W.F. Tinney, V. Brandwajn, Steve Chan · IEEE Transactions on Power Apparatus and Systems · 1985 · 338 citations
Partial Matrix Refactorization
Sherman Chan, V. Brandwajn · IEEE Transactions on Power Systems · 1986 · 171 citations