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MoorePenrose Class Template Reference
[linbox/blackbox]

#include <moore-penrose.h>

Inheritance diagram for MoorePenrose:

List of all members.

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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.

Public Types
typedef Blackbox::Field	Field
typedef Blackbox::Element	Element
Public Methods
	MoorePenrose (const Blackbox *A, size_t rank)
	MoorePenrose (const MoorePenrose &A)
virtual	~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
const Field &	field ()

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Member Typedef Documentation

typedef Blackbox::Element Element

typedef Blackbox::Field Field

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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

virtual ~MoorePenrose (    )  [inline, virtual]

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 \Ref{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 \Ref{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 coldim (  void    )  const [inline]

Retreive _column dimensions of BlackBox matrix. Required by abstract base class. Returns: integer number of _columns of black box matrix.

const Field& field (    )  [inline]

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.

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