KnowraJordan decompositionLinked fromLinked fromThe 6 pages that link to Jordan decomposition, each with the reason it gives.All 6Broader topic 1Related 2Narrower topic 1Compared with 2Camille JordanBroader topic: The decomposition reflects Jordan’s lasting influence across algebraic structures.Lebesgue decomposition theoremCompared with: It decomposes signed measures by sign, not positive measures by absolute continuity.Engel's theoremCompared with: It separates the nilpotent component relevant to Engel's theorem from semisimple behavior.Jordan–Chevalley decompositionNarrower topic: The linear-operator decomposition is one instance of this broader structural pattern.Lie's theoremRelated: Triangular matrices may contain both diagonalizable and nilpotent behavior, unlike a purely semisimple action.Hahn decomposition theoremRelated: The positive and negative regions yield its canonical positive and negative measures.