Specialization of Diagonal for application to dense vectors. More...

#include <diagonal.h>

Inherits FIBB< Ring >.

Public Member Functions
	Diagonal (const Field &F)
	cstor ready for a read.

	Diagonal (const Vector_t &v)
	cstor from vector of elements.

	Diagonal (const Field &F, const size_t n, bool nonsing=true)
	random Diagonal matrix. More...

void	random ()
	creates a random Diagonal matrix

void	randomNonsingular ()
	creates a random non singular Diagonal matrix

const Field &	field () const
	the field of the entries

Element &	getEntry (Element &x, size_t i, size_t j) const
	Get an entry and store it in the given value. More...

const Element &	setEntry (size_t i, size_t j, const Element &x)
	(i,i) entry is set to x. More...

virtual ResizableMatrix &	nullspaceBasisRight (ResizableMatrix &B) const =0
	B: columns are a right nullspace basis for this A. More...

virtual ResizableMatrix &	nullspaceBasisLeft (ResizableMatrix &B) const =0
	BA= 0 and xA = 0 => exists y: x = yB and B full rank.

Detailed Description

Specialization of Diagonal for application to dense vectors.

Constructor & Destructor Documentation

inline

random Diagonal matrix.

Parameters

F	the field
n	size
nonsing	non-singular matrix ? (no zero on diagonal ?)

inline

Get an entry and store it in the given value.

This form is more in the LinBox style and is provided for interface compatibility with other parts of the library

Parameters

x	Element in which to store result
i	Row index
j	Column index

inline

(i,i) entry is set to x.

could throw error if j != i, but now j is ignored.

virtual ResizableMatrix& nullspaceBasisRight ( ResizableMatrix & B ) const

pure virtualinherited

B: columns are a right nullspace basis for this A.

B is resized and filled so that: (1) AB = 0, (2) Ax = 0 => exists y: x = By, and (3) B has full rank.

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