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    • Extreme.Mathematics Namespace
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  • Extreme.Mathematics.Generic.LinearAlgebra Namespace
    • BandVector(T) Class
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    • SingularValueDecomposition(T) Class
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  • QRDecomposition(T) Class
    • Members
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QRDecomposition<(Of <(<'T>)>)> Class

Members See Also 
Represents the QR decomposition of a Matrix.

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#
                      public sealed class QRDecomposition<T> : Decomposition<T>
Visual Basic (Declaration)
                      Public NotInheritable Class QRDecomposition(Of T) _
	Inherits Decomposition(Of T)
Visual C++
                      generic<typename T>
public ref class QRDecomposition sealed : public Decomposition<T>
F#
[<SealedAttribute>]
type QRDecomposition<'T> =  
    class
        inherit Decomposition<'T>
    end

Type Parameters

T

Remarks

The QR decomposition of a matrix A rewrites the matrix in the form A= QR, where Q is an orthogonal matrix, and R is an upper-triangular matrix.

QRDecomposition<(Of <(<'T>)>)> can operate in two modes. In overwrite mode, the original matrix is overwritten by the decomposition. In preserve mode, the original matrix is preserved, and a new matrix is created to hold the decomposition. You can set the mode through the Overwrite property.

QRDecomposition<(Of <(<'T>)>)> inherits from LinearOperator<(Of <(<'T>)>)>. This means you can use it to solve systems of linear equations. You can solve for a single right-hand side, or for multiple right-hand sides using the Solve(DenseVector<(Of <<'(T>)>>), Boolean) method. You can also calculate the determinant, the inverse, 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.LinearAlgebra..::..QRDecomposition<(Of <(<'T>)>)>

See Also

QRDecomposition<(Of <(<'T>)>)> Members
Extreme.Mathematics.Generic.LinearAlgebra Namespace
Extreme.Mathematics.Generic.LinearAlgebra..::..DenseMatrix<(Of <(<'T>)>)>
Extreme.Mathematics.Generic.LinearAlgebra..::..TriangularMatrix<(Of <(<'T>)>)>
Extreme.Mathematics.Generic.LinearAlgebra..::..CholeskyDecomposition<(Of <(<'T>)>)>
Extreme.Mathematics.Generic.LinearAlgebra..::..LinearOperator<(Of <(<'T>)>)>

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