LinearOperator<(Of <(<'T>)>)> Class

Members See Also

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

Namespace: Extreme.Mathematics.Generic.LinearAlgebra
Assembly: Extreme.Generic.Net40 (in Extreme.Generic.Net40.dll) Version: 4.0.10170.0 (4.0.10322.0)

Syntax

C#
[SerializableAttribute] public abstract class LinearOperator<T>

Visual Basic (Declaration)
<SerializableAttribute> _ Public MustInherit Class LinearOperator(Of T)

Visual C++
[SerializableAttribute] generic<typename T> public ref class LinearOperator abstract

F#
[<AbstractClassAttribute>] [<SerializableAttribute>] type LinearOperator<'T> = class end

Type Parameters

T

Remarks

LinearOperator<(Of <(<'T>)>)> 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<(Of <<'(T>)>>)) 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<(Of <(<'T>)>)> class and its descendants.

LinearOperator<(Of <(<'T>)>)> 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.Generic.LinearAlgebra..::..LinearOperator<(Of <(<'T>)>)>
    Extreme.Mathematics.Generic.LinearAlgebra..::..Decomposition<(Of <(<'T>)>)>
    Extreme.Mathematics.Generic..::..Matrix<(Of <(<'T>)>)>