DoubleQRDecomp Class

Class DoubleQRDecomp represents the QR decomposition of a general matrix.

Inheritance Hierarchy

SystemObject
CenterSpace.NMath.CoreDoubleQRDecomp

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.3

Syntax

[SerializableAttribute]
public class DoubleQRDecomp : ICloneable

<SerializableAttribute>
Public Class DoubleQRDecomp
	Implements ICloneable

[SerializableAttribute]
public ref class DoubleQRDecomp : ICloneable

[<SerializableAttribute>]
type DoubleQRDecomp =  
    class
        interface ICloneable
    end

The DoubleQRDecomp type exposes the following members.

Constructors

	Name	Description
	DoubleQRDecomp	Default constructor. Constructs a DoubleQRDecomp instance of size zero by zero.
	DoubleQRDecomp(DoubleMatrix)	Constructs a DoubleQRDecomp instance of a given matrix.
	DoubleQRDecomp(DoubleMatrix, Boolean)	Constructs a DoubleQRDecomp instance of a given matrix.
	DoubleQRDecomp(DoubleMatrix, Boolean, Boolean)	Constructs a DoubleQRDecomp instance of a given matrix.

Properties

	Name	Description
	Cols	Gets the number of columns in the matrix that the decomposition represents.
	P	Gets an explicit representation of the permutation matrix.
	Pivoting	Whether the decomposition is pivoted or not.
	Q	Gets an explicit representation of the orthogonal matrix Q.
	QFull	Gets an explicit representation of the Q matrix in the full QR factorization. The matrix Q is m x m where m is the number of rows in the factored matrix.
	R	Gets an explicit representation of the upper trapezoidal matrix R.
	Rows	Gets the number of rows in the matrix that this decomposition represents.

Methods

	Name	Description
	Clone	Creates a deep copy of this decomposition.
	Factor	Builds a decomposition for the matrix A.
	PTx	Computes the inner product of the transpose of the permutation matrix P and a given vector.
	Px	Computes the inner product of the permutation matrix P and a given vector.
	QM	Computes the inner product of the orthogonal matrix Q and a given matrix.
	QTM	Computes the inner product of the transpose of the orthogonal matrix Q and a given matrix.
	QTx	Computes the inner product of the transpose of the orthogonal matrix Q and a given vector.
	Qx	Computes the inner product of the orthogonal matrix Q and s given vector.
	RDiagonal	Returns the main diagonal of the upper trapezoidal matrix R.
	RInvx	Computes the inner product of the inverse of the matrix R and a given vector.
	RTInvx	Computes the inner product of the transpose of the inverse of the matrix R and a given vector.
	RTx	Computes the inner product of the transpose of the matrix R and a given vector.
	Rx	Computes the inner product of the matrix R and a given vector.

Remarks

A QR decomposition is a representation of a matrix A of the form

AP = QR

where P is a permutation matrix, Q is orthogonal, and R is upper trapezoidal (upper triangular if A has more rows than columns and has full rank).