linbox
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Linear system solvers based on Wiedemann's method. More...
#include <wiedemann.h>
Public Types | |
enum | ReturnStatus |
{ OK, FAILED, SINGULAR, INCONSISTENT, BAD_PRECONDITIONER } | |
Public Member Functions | |
WiedemannSolver (const Field &F, const WiedemannTraits &traits) | |
WiedemannSolver (const Field &F, const WiedemannTraits &traits, typename Field::RandIter r) | |
template<class Blackbox , class Vector > | |
ReturnStatus | solve (const Blackbox &A, Vector &x, const Vector &b, Vector &u) |
template<class Blackbox , class Vector > | |
ReturnStatus | solveNonsingular (const Blackbox &A, Vector &x, const Vector &b, bool useRandIter=false) |
template<class Blackbox , class Vector > | |
ReturnStatus | solveSingular (const Blackbox &A, Vector &x, const Vector &b, Vector &u, unsigned long r) |
template<class Blackbox , class Vector , class Prec1 , class Prec2 > | |
ReturnStatus | findRandomSolution (const Blackbox &A, Vector &x, const Vector &b, size_t r, const Prec1 *P, const Prec2 *Q) |
template<class Blackbox , class Vector > | |
ReturnStatus | findNullspaceElement (Vector &x, const Blackbox &A) |
template<class Blackbox , class Vector > | |
bool | certifyInconsistency (Vector &u, const Blackbox &A, const Vector &b) |
Linear system solvers based on Wiedemann's method.
This class encapsulates all of the functionality for linear system solving with Wiedemann's algorithm. It includes the random solution and random nullspace element of Kaltofen and Saunders (1991), as well as the certificate of inconsistency of Giesbrecht, Lobo, and Saunders (1998).
WiedemannSolver | ( | const Field & | F, |
const WiedemannTraits & | traits | ||
) | [inline] |
Constructor
F | Field over which to operate |
traits | SolverTraits} structure describing user options for the solver |
WiedemannSolver | ( | const Field & | F, |
const WiedemannTraits & | traits, | ||
typename Field::RandIter | r | ||
) | [inline] |
Constructor with a random iterator
F | Field over which to operate |
traits | SolverTraits} structure describing user options for the solver |
r | Random iterator to use for randomization |