LinearTransformation Class

Introduction

Deployment Guide

Using Parallelism

Mathematics Library User's Guide

Vector and Matrix Library User's Guide

Statistics Library User's Guide

Reference

Defines methods for the solution of a system of simultaneous linear equations and related operations.

Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 4.0.10170.0 (4.0.11005.0)

Syntax

C#
[SerializableAttribute] public abstract class LinearTransformation

Visual Basic (Declaration)
<SerializableAttribute> _ Public MustInherit Class LinearTransformation

Visual C++
[SerializableAttribute] public ref class LinearTransformation abstract

F#
[<AbstractClassAttribute>] [<SerializableAttribute>] type LinearTransformation = class end

Remarks

LinearTransformation is implemented by all Matrix classes and all classes that represent matrix decompositions.

The solution of a system of simultaneous linear equations represented by a Matrix is one of the most common tasks in linear algebra. The Solve(Vector) mechanism, which is overloaded, defines a common method for all classes that can represent matrices. This not only includes the Matrix class and its descendants, but also the Decomposition class and its descendants.

LinearTransformation also defines operations that are related to solving systems of equations, such as calculating the matrix GetInverse()()()(), the GetDeterminant()()()() and an estimate for the EstimateConditionNumber()()()().

Inheritance Hierarchy

System..::..Object
  Extreme.Mathematics.LinearAlgebra..::..LinearTransformation
    Extreme.Mathematics.LinearAlgebra..::..Decomposition
    Extreme.Mathematics..::..Matrix

LinearTransformation Class

Syntax

Remarks

Inheritance Hierarchy

See Also