SingleComplexQRDecomposition Class

Members See Also

Represents the QR decomposition of a SingleComplexMatrix.

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#
public sealed class SingleComplexQRDecomposition : SingleComplexDecomposition, ISingleComplexLeastSquaresSolver

Visual Basic (Declaration)
Public NotInheritable Class SingleComplexQRDecomposition _ Inherits SingleComplexDecomposition _ Implements ISingleComplexLeastSquaresSolver

Visual C++
public ref class SingleComplexQRDecomposition sealed : public SingleComplexDecomposition, ISingleComplexLeastSquaresSolver

F#
[<SealedAttribute>] type SingleComplexQRDecomposition = class inherit SingleComplexDecomposition interface ISingleComplexLeastSquaresSolver end

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.

ComplexQRDecomposition 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.

ComplexQRDecomposition inherits from SingleLinearTransformation. 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(SingleComplexDenseVector, Boolean) method. You can also calculate the determinant, the inverse, and an estimate for the EstimateConditionNumber()()()().

Inheritance Hierarchy

System..::..Object
  Extreme.Mathematics.LinearAlgebra.Complex..::..SingleComplexLinearTransformation
    Extreme.Mathematics.LinearAlgebra.Complex..::..SingleComplexDecomposition
      Extreme.Mathematics.LinearAlgebra.Complex..::..SingleComplexQRDecomposition