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Inverse Class Template Reference
[linbox/blackbox]

#include <inverse.h>

Inheritance diagram for Inverse:

List of all members.

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Detailed Description

template<class Blackbox>
class LinBox::Inverse< Blackbox >

A Blackbox for the inverse. Not efficient if many applications are used.

The matrix itself is not stored in memory. Rather, its apply methods use a vector of field elements, which are used to "multiply" the matrix to a vector.

This class has three template parameters. The first is the field in which the arithmetic is to be done. The second is the type of \Ref{LinBox} vector to which to apply the matrix. The third is chosen be default to be the \Ref{LinBox} vector trait of the vector. This class is then specialized for dense and sparse vectors.

Parameters:

Field	\Ref{LinBox} field
Vector	\Ref{LinBox} dense or sparse vector of field elements
Trait	Marker whether to use dense or sparse LinBox vector implementation. This is chosen by a default parameter and partial template specialization.

Public Types
typedef Blackbox::Field	Field
typedef Field::Element	Element
typedef std::vector< Element >	Polynomial
Public Methods
	Inverse (const Blackbox *BB)
	Inverse (const Inverse &BB)
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 () const

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Member Typedef Documentation

typedef Field::Element Element

typedef Blackbox::Field Field

typedef std::vector<Element> Polynomial

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Constructor & Destructor Documentation

Inverse (  const Blackbox *    BB )  [inline]

Constructor from field and dense vector of field elements. Parameters: __BB  Black box of which to get the inverse

Inverse (  const Inverse< Blackbox > &    BB )  [inline]

Copy constructor, so that we don't have to recompute the minimal polynomial every time this black box is used inside another black box

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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: y  reference to vector into which to store the result 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 (    )  const [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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