vnl_linear_system Class Reference

#include <vnl_linear_system.h>

Inheritance diagram for vnl_linear_system:

[legend]List of all members.

Public Methods
	vnl_linear_system (int number_of_unknowns, int number_of_residuals)
virtual	~vnl_linear_system ()
virtual void	multiply (vnl_vector< double > const &x, vnl_vector< double > &y) const=0
virtual void	transpose_multiply (vnl_vector< double > const &y, vnl_vector< double > &x) const=0
virtual void	get_rhs (vnl_vector< double > &b) const=0
virtual void	apply_preconditioner (vnl_vector< double > const &x, vnl_vector< double > &px) const
int	get_number_of_unknowns () const
int	get_number_of_residuals () const
double	get_rms_error (vnl_vector< double > const &x) const
double	get_relative_residual (vnl_vector< double > const &x) const
Protected Attributes
int	p_
int	n_

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Detailed Description

Abstraction for a linear system of equations. vnl_linear_system provides an abstraction for a linear system of equations, Ax = b, to be solved by one of the iterative linear solvers. Access to the systems is via the pure virtual methods multiply() and transpose_multiply(). This procedural access scheme makes it possible to solve very large, sparse systems which it would be inefficient to store in matrix form.

Definition at line 26 of file vnl_linear_system.h.

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Constructor & Destructor Documentation

vnl_linear_system::vnl_linear_system (  int    number_of_unknowns, int    number_of_residuals )  [inline]

Definition at line 29 of file vnl_linear_system.h. References p_.

virtual vnl_linear_system::~vnl_linear_system (    )  [virtual]

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Member Function Documentation

virtual void vnl_linear_system::apply_preconditioner (  vnl_vector< double > const &    x, vnl_vector< double > &    px )  const [virtual]

Reimplemented in vnl_sparse_matrix_linear_system< T >.

int vnl_linear_system::get_number_of_residuals (    )  const [inline]

Return the number of residuals. Definition at line 58 of file vnl_linear_system.h. References n_, and p_.

int vnl_linear_system::get_number_of_unknowns (    )  const [inline]

Return the number of unknowns. Definition at line 54 of file vnl_linear_system.h.

double vnl_linear_system::get_relative_residual (  vnl_vector< double > const &    x )  const

Compute relative residual (|Ax - b| / |b| )for parameter vector x.

virtual void vnl_linear_system::get_rhs (  vnl_vector< double > &    b )  const [pure virtual]

Implemented in vnl_sparse_matrix_linear_system< T >.

double vnl_linear_system::get_rms_error (  vnl_vector< double > const &    x )  const

Compute rms error for parameter vector x.

virtual void vnl_linear_system::multiply (  vnl_vector< double > const &    x, vnl_vector< double > &    y )  const [pure virtual]

Compute A*x, putting result in y. Implemented in vnl_sparse_matrix_linear_system< T >.

virtual void vnl_linear_system::transpose_multiply (  vnl_vector< double > const &    y, vnl_vector< double > &    x )  const [pure virtual]

Compute A_transpose * y, putting result in x. Implemented in vnl_sparse_matrix_linear_system< T >.

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Member Data Documentation

int vnl_linear_system::n_ [protected]

Definition at line 70 of file vnl_linear_system.h. Referenced by get_number_of_residuals().

int vnl_linear_system::p_ [protected]

Definition at line 69 of file vnl_linear_system.h. Referenced by get_number_of_residuals(), and vnl_linear_system().

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The documentation for this class was generated from the following file:

• vnl_linear_system.h

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