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    • BandMatrix Class
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  • Decomposition Class
    • Members
    • Decomposition Constructor
    • Methods
    • Properties
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Decomposition Class

Members See Also 
Represents a matrix decomposition.

Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 4.2.11333.0 (4.2.12253.0)

Syntax

C# 
                      public abstract class Decomposition : LinearOperator
Visual Basic (Declaration) 
                      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:

ClassDescription
LUDecompositionRepresents a decomposition into a lower and an upper-triangular matrix.
QRDecompositionRepresents a decomposition into an orthogonal and an upper triangular matrix.
CholeskyDecompositionRepresents 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

System..::..Object
  Extreme.Mathematics.LinearAlgebra..::..LinearOperator
    Extreme.Mathematics.LinearAlgebra..::..Decomposition
      Extreme.Mathematics.LinearAlgebra..::..CholeskyDecomposition
      Extreme.Mathematics.LinearAlgebra..::..EigenvalueDecomposition
      Extreme.Mathematics.LinearAlgebra..::..LUDecomposition
      Extreme.Mathematics.LinearAlgebra..::..NonNegativeMatrixFactorization
      Extreme.Mathematics.LinearAlgebra..::..QRDecomposition
      Extreme.Mathematics.LinearAlgebra..::..SingularValueDecomposition

See Also

Decomposition Members
Extreme.Mathematics.LinearAlgebra Namespace
Extreme.Mathematics.LinearAlgebra..::..LUDecomposition
Extreme.Mathematics.LinearAlgebra..::..QRDecomposition
Extreme.Mathematics.LinearAlgebra..::..CholeskyDecomposition

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