QRDecomposition Class

Represents a QR decomposition of a matrix.

Definition

Namespace: Meta.Numerics.Matrices
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 4.2.0+6d77d64445f7d5d91b12e331399c4362ecb25333
C#
public sealed class QRDecomposition
Inheritance
Object    QRDecomposition

Remarks

A QR decomposition represents a rectangular matrix as the product of a square, orthogonal matrix Q and a rectangular, right-upper-triangular matrix R. For example:

The method QRDecomposition of the RectangularMatrix class can be used to QR decompose a rectangular matrix.

Note that this method produces the full QR decomposition, i.e. QMatrix is a square, orthogonal M X M matrix and RMatrix is a rectangular M X N matrix. In the reduced QR decomposition, which can also be used to solve linear systems, Q is a rectangular M X N matrix and R is a square N X N matrix.

Properties

ColumnCount Gets the number of columns in the original matrix.
QMatrix The orthogonal matrix Q.
RMatrix The upper-right triangular matrix R.
RowCount Get the number of rows in the original matrix.

Methods

EqualsDetermines whether the specified object is equal to the current object.
(Inherited from Object)
GetHashCodeServes as the default hash function.
(Inherited from Object)
GetTypeGets the Type of the current instance.
(Inherited from Object)
Solve Solve the system A x = b.
ToStringReturns a string that represents the current object.
(Inherited from Object)

See Also