LanczosSolver< Field, Vector > Class Template Reference

Solve a linear system using the conjugate Lanczos iteration. More...

#include <lanczos.h>

Public Member Functions
	LanczosSolver (const Field &F, const Method::Lanczos &traits)
	Constructor. More...
	LanczosSolver (const Field &F, const Method::Lanczos &traits, typename Field::RandIter r)
	Constructor with a random iterator. More...
template<class Blackbox >
Vector &	solve (const Blackbox &A, Vector &x, const Vector &b)
	Solve the linear system Ax = b. More...

Detailed Description

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

Solve a linear system using the conjugate Lanczos iteration.

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

Constructor & Destructor Documentation

LanczosSolver() [1/2]

LanczosSolver ( const Field &  F, const Method::Lanczos &  traits  )

inline

Constructor.

Parameters

F	Field over which to operate
traits	SolverTraits structure describing user options for the solver

LanczosSolver() [2/2]

LanczosSolver ( const Field &  F, const Method::Lanczos &  traits, typename Field::RandIter  r  )

inline

Constructor with a random iterator.

Parameters

F	Field over which to operate
traits	SolverTraits structure describing user options for the solver
r	Random iterator to use for randomization

Member Function Documentation

solve()

Vector& solve	(	const Blackbox &	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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The documentation for this class was generated from the following files:

• lanczos.h
• lanczos.inl