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    • Extreme.Mathematics Namespace
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    • Extreme.Mathematics.LinearAlgebra Namespace
    • Extreme.Mathematics.LinearAlgebra.Complex Namespace
    • Extreme.Mathematics.LinearAlgebra.Complex.Decompositions Namespace
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  • Extreme.Mathematics.LinearAlgebra.Complex Namespace
    • ComplexBandVector Class
    • ComplexCholeskyDecomposition Class
    • ComplexColumnCollection Structure
    • ComplexConstantMatrix Class
    • ComplexConstantVector Class
    • ComplexDecomposition Class
    • ComplexDenseMatrix Class
    • ComplexDenseVector Class
    • ComplexDiagonalMatrix Class
    • ComplexHermitianMatrix Class
    • ComplexLeastSquaresSolver Class
    • ComplexLinearOperator Class
    • ComplexLUDecomposition Class
    • ComplexMatrixView Class
    • ComplexQRDecomposition Class
    • ComplexRowCollection Structure
    • ComplexSingularValueDecomposition Class
    • ComplexTriangularMatrix Class
    • ComplexVectorView Class
    • ComposedComplexMatrix Class
    • ComposedComplexVector Class
    • IComplexLeastSquaresSolver Interface
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    • SingleComplexBandVector Class
    • SingleComplexCholeskyDecomposition Class
    • SingleComplexColumnCollection Structure
    • SingleComplexConstantVector Class
    • SingleComplexDecomposition Class
    • SingleComplexDenseMatrix Class
    • SingleComplexDenseVector Class
    • SingleComplexHermitianMatrix Class
    • SingleComplexLeastSquaresSolver Class
    • SingleComplexLinearTransformation Class
    • SingleComplexLUDecomposition Class
    • SingleComplexMatrixView Class
    • SingleComplexQRDecomposition Class
    • SingleComplexRowCollection Structure
    • SingleComplexSingularValueDecomposition Class
    • SingleComplexTriangularMatrix Class
    • SingleComplexVectorView Class
  • ComplexDecomposition Class
    • Members
    • ComplexDecomposition Constructor
    • Methods
    • Properties
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ComplexDecomposition Class

Members See Also 
Represents a matrix decomposition.

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

Syntax

C# 
                      public abstract class ComplexDecomposition : ComplexLinearOperator
Visual Basic (Declaration) 
                      Public MustInherit Class ComplexDecomposition _
	Inherits ComplexLinearOperator
Visual C++ 
                      public ref class ComplexDecomposition abstract : public ComplexLinearOperator
F# 
[<AbstractClassAttribute>]
type ComplexDecomposition =  
    class
        inherit ComplexLinearOperator
    end

Remarks

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

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

ClassDescription
ComplexLUDecompositionRepresents a decomposition into a lower and an upper-triangular matrix.
ComplexQRDecompositionRepresents a decomposition into an orthogonal and an upper triangular matrix.
ComplexCholeskyDecompositionRepresents the decomposition of a ComplexHermitianMatrix into the product of a lower-triangular matrix and its conjugate transpose.

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

Inheritance Hierarchy

System..::..Object
  Extreme.Mathematics.LinearAlgebra.Complex..::..ComplexLinearOperator
    Extreme.Mathematics.LinearAlgebra.Complex..::..ComplexDecomposition
      Extreme.Mathematics.LinearAlgebra.Complex..::..ComplexCholeskyDecomposition
      Extreme.Mathematics.LinearAlgebra.Complex..::..ComplexLUDecomposition
      Extreme.Mathematics.LinearAlgebra.Complex..::..ComplexQRDecomposition
      Extreme.Mathematics.LinearAlgebra.Complex..::..ComplexSingularValueDecomposition

See Also

ComplexDecomposition Members
Extreme.Mathematics.LinearAlgebra.Complex Namespace
Extreme.Mathematics.LinearAlgebra.Complex..::..ComplexLUDecomposition
Extreme.Mathematics.LinearAlgebra.Complex..::..ComplexQRDecomposition
Extreme.Mathematics.LinearAlgebra.Complex..::..ComplexCholeskyDecomposition

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