ComplexQRDecomposition Class

Members See Also

Represents the QR decomposition of a ComplexMatrix.

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 class ComplexQRDecomposition : ComplexDecomposition, IComplexLeastSquaresSolver

Visual Basic (Declaration)
Public Class ComplexQRDecomposition _ Inherits ComplexDecomposition _ Implements IComplexLeastSquaresSolver

Visual C++
public ref class ComplexQRDecomposition : public ComplexDecomposition, IComplexLeastSquaresSolver

F#
type ComplexQRDecomposition = class inherit ComplexDecomposition interface IComplexLeastSquaresSolver 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 LinearOperator. 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(ComplexDenseVector, Boolean) method. You can also calculate the determinant, the inverse, and an estimate for the EstimateConditionNumber()()()().

Inheritance Hierarchy

System..::..Object
  Extreme.Mathematics.LinearAlgebra.Complex..::..ComplexLinearOperator
    Extreme.Mathematics.LinearAlgebra.Complex..::..ComplexDecomposition
      Extreme.Mathematics.LinearAlgebra.Complex..::..ComplexQRDecomposition