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LanczosSolver Class Template Reference

#include <lanczos.h>

List of all members.

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Detailed Description

template<class Field, class Vector>
class LinBox::LanczosSolver< Field, Vector >

Solve a linear system using the conjugate Lanczos iteration. @doc Lanczos system solver class. This class encapsulates the functionality required for solving a linear system through the conjugate Lanczos iteration.

Public Methods
	LanczosSolver (const Field &F, const SolverTraits< LanczosTraits > &traits)
	LanczosSolver (const Field &F, const SolverTraits< LanczosTraits > &traits, typename Field::RandIter r)
Vector &	solve (const BlackboxArchetype &A, Vector &x, const Vector &b)

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Constructor & Destructor Documentation

LanczosSolver (  const Field &    F, const SolverTraits< LanczosTraits > &    traits )  [inline]

Constructor Parameters: F  Field over which to operate traits  @Ref{SolverTraits} structure describing user options for the solver

LanczosSolver (  const Field &    F, const SolverTraits< LanczosTraits > &    traits, typename Field::RandIter    r )  [inline]

Constructor with a random iterator Parameters: F  Field over which to operate traits  @Ref{SolverTraits} structure describing user options for the solver r  Random iterator to use for randomization

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Member Function Documentation

Vector & solve (  const BlackboxArchetype &    A, Vector &    x, const Vector &    b )

Solve the linear system Ax = b. If the system is nonsingular, this method computes the unique solution to the system Ax = b. If the system is singular, it computes a random solution. If the matrix A is nonsymmetric, this method preconditions the matrix A with the preconditioner D_1 A^T D_2 A D_1, where D_1 and D_2 are random nonsingular diagonal matrices. If the matrix A is symmetric, this method preconditions the system with A D, where D is a random diagonal matrix. Parameters: A  Black box for the matrix A x  Vector in which to store solution b  Right-hand side of system Returns: Reference to solution vector

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