SquareQRDecomposition Class

Represents the QR decomposition of a square matrix.

Inheritance Hierarchy

SystemObject
Meta.Numerics.MatricesSquareQRDecomposition

Namespace: Meta.Numerics.Matrices
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 4.1.4

Syntax

public sealed class SquareQRDecomposition

Public NotInheritable Class SquareQRDecomposition

public ref class SquareQRDecomposition sealed

[<SealedAttribute>]
type SquareQRDecomposition =  class end

The SquareQRDecomposition type exposes the following members.

Properties

	Name	Description
	Dimension	Gets the dimension of the original matrix.
	QMatrix	The orthogonal matrix Q.
	RMatrix	The upper-right triangular matrix R.

Methods

	Name	Description
	Determinant	Computes the determinant of the original matrix.
	Equals	Determines whether the specified object is equal to the current object. (Inherited from Object.)
	GetHashCode	Serves as the default hash function. (Inherited from Object.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	Inverse	Computes the inverse of the original matrix.
	Solve	Solve the system of equations Ax=b, where A is the original matrix.
	ToString	Returns a string that represents the current object. (Inherited from Object.)

Remarks

A QR decomposition represents a matrix as the product of an orthogonal matrix Q and an upper-right-triangular matrix R.

Like a LU decomposition (LUDecomposition, a QR decomposition can be used to solve systems of equations, or compute a determinant or matrix inverse.

To obtain the QR decomposition of a square matrix, use the QRDecomposition method of the SquareMatrix class.