Using Parallelism

Mathematics Library User's Guide

Vector and Matrix Library User's Guide

Statistics Library User's Guide

Reference

Represents a matrix decomposition.

Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 5.0.13017.0 (5.0.13248.0)

Syntax

C#
public abstract class Decomposition : LinearOperator

Visual Basic
Public MustInherit Class Decomposition Inherits LinearOperator

Visual C++
public ref class Decomposition abstract : public LinearOperator

F#
[<AbstractClassAttribute>] type Decomposition = class inherit LinearOperator end

Remarks

The Decomposition class represents a decomposition of a matrix into a product of matrices with specific properties.

The Decomposition class defines methods and properties that are shared by all decomposition classes. This includes methods related to solving systems of simultaneous linear equations defined by the LinearOperator abstract base class.

The Decomposition class is an abstract base class and cannot be instantiated directly. Instead, use one of its derived classes. These are:

Class	Description
LUDecomposition	Represents a decomposition into a lower and an upper-triangular matrix.
QRDecomposition	Represents a decomposition into an orthogonal and an upper triangular matrix.
CholeskyDecomposition	Represents the decomposition of a SymmetricMatrix into the product of a lower-triangular matrix and its transpose.

Notes to inheritors: When you inherit from Decomposition, you must override the following members: EstimateConditionNumber()()()(), GetDeterminant()()()(), GetInverse()()()(), Rank(Double), Solve(DenseMatrix, Boolean), Solve(DenseVector, Boolean).

Inheritance Hierarchy

Version Information

Numerical Libraries

Supported in: 5.0, 4.x, 3.6

Decomposition Class

Syntax

Remarks

Inheritance Hierarchy

Version Information

Numerical Libraries

See Also