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Relation Matrix

4 resources tagged “Relation Matrix” across the knowledge library.

4 items

Article7 Aug 2026Recovering Abelian Group Structure from a Relation MatrixRecovering the structure and explicit generators of a finite abelian group from a matrix of relations among a generating set.2 min readRead More Article7 Aug 2026Regulator and Fundamental Unit RecoveryExtracting fundamental units and the regulator from the kernel of the relation matrix, and confirming the unit system is fundamental.2 min readRead More Article7 Aug 2026Relation Matrix ConstructionGenerating relations among ideal classes, assembling the sparse matrix, and knowing when enough relations have been collected.2 min readRead More Guide6 Aug 2026Class Group and Unit Computation in General Number FieldsThe general sub-exponential algorithm for class groups and units: factor base selection, ideal reduction, relation collection, the relation matrix and its kernel, and verification against the analytic class number formula.5 min readRead More