#include <driver.hh>

Inheritance diagram for sparseqr::Driver:

Public Member Functions
	Driver (const concepts::SparseMatrix< Real > &A)

concepts::Permutation< Real > *	Prow ()
	Returns .

concepts::Permutation< Real > *	Pcol ()
	Returns .

sparseqr::GivensRotations< Real > *	Q ()
	Returns .

sparseqr::GivensRotations< Real > *	Qt ()
	Returns $Q^\top$ .

concepts::TrivExtendRestrict< Real > *	restriction ()
	Returns the restriction from n to the last n-r degrees of freedom.

concepts::TrivExtendRestrict< Real > *	extension ()
	Returns the extension from the last n-r to n degrees of freedom.

int	rank ()
	Returns the rank of the matrix.

virtual void	operator() (const concepts::Function< Real > &fncY, concepts::Function< Real > &fncX)

void	operator() (const concepts::Vector< Real > &fncY, concepts::Vector< Real > &fncX)

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.

Private Member Functions
virtual void	operator() (const Function< r_type > &fncY, Function< Real > &fncX)

virtual void	operator() (const Function< c_type > &fncY, Function< c_type > &fncX)

virtual void	operator() ()

Detailed Description

Driver class for sparse QR decomposition. Performs a QR factorization on a sparse mxn matrix A, m>=n, such that

$P_r \cdot Q^\top \cdot A \cdot P_c^\top = \begin{pmatrix} R \\ 0 \end{pmatrix}$

the different matrices can be asked for individually. At the same time, this class can act as a linear solver using the QR decomposition of the matrix.

Author: Philipp Frauenfelder, 2004

Test:

test::DriverTest

test::DeepCompositionsTest

Definition at line 34 of file driver.hh.

Constructor & Destructor Documentation

◆ Driver()

sparseqr::Driver::Driver ( const concepts::SparseMatrix< Real > & A )

inline

Constructor. The constructor does not compute or copy anything, just initialises local variables.

Parameters

A	Matrix to decompose

Definition at line 41 of file driver.hh.

Member Function Documentation

◆ info()

virtual std::ostream & sparseqr::Driver::info ( std::ostream & os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::Operator< Real >.

◆ rank()

int sparseqr::Driver::rank ( )

inline

Returns the rank of the matrix.

Definition at line 81 of file driver.hh.

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

sparseqr/driver.hh

Class documentation of Concepts

Public Member Functions