Regina Calculation Engine
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Provides various complex matrix calculations. More...
Namespaces | |
regina | |
Contains the entire Regina calculation engine. | |
Functions | |
REGINA_API void | regina::smithNormalForm (NMatrixInt &matrix) |
Transforms the given integer matrix into Smith normal form. More... | |
REGINA_API void | regina::smithNormalForm (NMatrixInt &matrix, NMatrixInt &rowSpaceBasis, NMatrixInt &rowSpaceBasisInv, NMatrixInt &colSpaceBasis, NMatrixInt &colSpaceBasisInv) |
A Smith normal form algorithm that also returns change of basis matrices. More... | |
REGINA_API void | regina::metricalSmithNormalForm (NMatrixInt &matrix, NMatrixInt *rowSpaceBasis=0, NMatrixInt *rowSpaceBasisInv=0, NMatrixInt *colSpaceBasis=0, NMatrixInt *colSpaceBasisInv=0) |
An alternative Smith normal form algorithm that also returns change of basis matrices. More... | |
REGINA_API unsigned | regina::rowBasis (NMatrixInt &matrix) |
Find a basis for the row space of the given matrix. More... | |
REGINA_API unsigned | regina::rowBasisAndOrthComp (NMatrixInt &input, NMatrixInt &complement) |
Finds a basis for the row space of the given matrix, as well as an "incremental" basis for its orthogonal complement. More... | |
REGINA_API void | regina::columnEchelonForm (NMatrixInt &M, NMatrixInt &R, NMatrixInt &Ri, const std::vector< unsigned > &rowList) |
Transforms a given matrix into column echelon form with respect to a collection of rows. More... | |
REGINA_API std::auto_ptr < NMatrixInt > | regina::preImageOfLattice (const NMatrixInt &hom, const std::vector< NLargeInteger > &sublattice) |
Given a homomorphism from Z^n to Z^k and a sublattice of Z^k, compute the preimage of this sublattice under this homomorphism. More... | |
REGINA_API std::auto_ptr < NMatrixInt > | regina::torsionAutInverse (const NMatrixInt &input, const std::vector< NLargeInteger > &invF) |
Given an automorphism of an abelian group, this procedure computes the inverse automorphism. More... | |
Provides various complex matrix calculations.