SingleComplexLinearTransformation Class

Members See Also

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

Namespace: Extreme.Mathematics.LinearAlgebra.Complex
Assembly: Extreme.Numerics.SinglePrecision.Net40 (in Extreme.Numerics.SinglePrecision.Net40.dll) Version: 4.0.10170.0 (4.0.11003.0)

Syntax

C#
[SerializableAttribute] public abstract class SingleComplexLinearTransformation

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

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

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

Remarks

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

The solution of a system of simultaneous linear equations represented by a SingleComplexMatrix is one of the most common tasks in linear algebra. The Solve(SingleComplexVector) mechanism, which is overloaded, defines a common method for all classes that can represent matrices. This not only includes the SingleComplexMatrix class and its descendants, but also the ComplexDecomposition 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.Complex..::..SingleComplexLinearTransformation
    Extreme.Mathematics.LinearAlgebra.Complex..::..SingleComplexDecomposition
    Extreme.Mathematics..::..SingleComplexMatrix