MoorePenrose< Blackbox > Class Template Reference

Generalized inverse of a blackbox. Efficiency concerns when many applications are used. More...

#include <moore-penrose.h>

Inheritance diagram for MoorePenrose< Blackbox >:

List of all members.

Public Member Functions
	MoorePenrose (const Blackbox *A, size_t rank)
	MoorePenrose (const MoorePenrose &A)
	~MoorePenrose ()
template<class OutVector , class InVector >
OutVector &	apply (OutVector &y, const InVector &x) const
template<class OutVector , class InVector >
OutVector &	applyTranspose (OutVector &y, const InVector &x) const
size_t	rowdim (void) const
size_t	coldim (void) const

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Detailed Description

template<class Blackbox>
class LinBox::MoorePenrose< Blackbox >

Generalized inverse of a blackbox. Efficiency concerns when many applications are used.

Given an arbitrary matrix in black box representation, this black box represents the Moore-Penrose inverse of the matrix.

This implementation assumes that A already has a nonsingular principal r x r minor. It is the caller's responsibility to ensure that that condition holds.

Given MoorePenrose M(A, r), and vector b, we have that M.apply(u, b) provides the least norm, least squares solution x = u to Ax = b.

TODO: remove the requirement that lpm is nonsingular. Specialize for dense matrices.

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Constructor & Destructor Documentation

MoorePenrose	(	const Blackbox *	A,
		size_t	rank
	)		[inline]

Constructor from field and dense vector of field elements.

Parameters:

BB	Black box from which to extract the submatrix
row	First row of the submatrix to extract (1.._BB->rowdim ())
col	First column of the submatrix to extract (1.._BB->coldim ())
rowdim	Row dimension
coldim	Column dimension

MoorePenrose

(

const MoorePenrose< Blackbox > &

A

)

[inline]

Copy constructor

~MoorePenrose

(

)

[inline]

Destructor

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Member Function Documentation

OutVector& apply	(	OutVector &	y,
		const InVector &	x
	)		const [inline]

Application of BlackBox matrix. y= A*x. Requires one vector conforming to the LinBox} vector archetype. Required by abstract base class.

Returns:

reference to vector y containing output.

Parameters:

x	constant reference to vector to contain input

OutVector& applyTranspose	(	OutVector &	y,
		const InVector &	x
	)		const [inline]

Application of BlackBox matrix transpose. y= transpose(A)*x. Requires one vector conforming to the LinBox} vector archetype. Required by abstract base class.

Returns:

reference to vector y containing output.

Parameters:

x	constant reference to vector to contain input

size_t rowdim

(

void

)

const [inline]

Retreive _row dimensions of BlackBox matrix. This may be needed for applying preconditioners. Required by abstract base class.

Returns:

integer number of _rows of black box matrix.

size_t coldim

(

void

)

const [inline]

Retreive _column dimensions of BlackBox matrix. Required by abstract base class.

Returns:

integer number of _columns of black box matrix.

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

• /build/buildd/linbox-1.1.6~rc0/linbox/blackbox/moore-penrose.h