Tag
Kernel
7 resources tagged “Kernel” across the knowledge library.
7 items
Article7 Aug 2026Gaussian Elimination over Finite FieldsElimination over a finite field, structured methods for very large sparse systems, and why the linear algebra stage limits sieving methods.2 min readRead MoreArticle7 Aug 2026Kernel and Image of a General MatrixComputing kernel and image bases for rectangular matrices over a field, and why the integer analogue is a different problem.2 min readRead MoreArticle7 Aug 2026LLL for Linearly Dependent Generating SetsExtending LLL to generating sets that are not independent, and using the resulting zero vectors to extract relations.2 min readRead MoreArticle7 Aug 2026Radical Computation and the Ring of MultipliersComputing the p-radical of an order as a kernel, and the ring of multipliers that enlarges the order.2 min readRead MoreArticle7 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 MoreArticle7 Aug 2026The Berlekamp Factorisation AlgorithmBerlekamp's linear algebra approach to factoring over a finite field, the Berlekamp subalgebra, and when it outperforms the GCD pipeline.2 min readRead MoreGuide6 Aug 2026Abelian CategoriesAdditive and abelian categories, the axioms, exactness in a general abelian category, the Freyd-Mitchell embedding theorem, and the standard examples.4 min readRead More