ComplexHermitianMatrix Class

Members See Also

Represents a ComplexMatrix that is symmetrical about the main diagonal.

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 sealed class ComplexHermitianMatrix : ComplexMatrix

Visual Basic (Declaration)
Public NotInheritable Class ComplexHermitianMatrix _ Inherits ComplexMatrix

Visual C++
public ref class ComplexHermitianMatrix sealed : public ComplexMatrix

F#
[<SealedAttribute>] type ComplexHermitianMatrix = class inherit ComplexMatrix end

Remarks

Use the ComplexHermitianMatrix class to represent dense matrices whose elements are symmetrical about the main diagonal. Symmetric matrices are always square.

The components of a ComplexHermitianMatrix are stored in a one-dimensional array of DoubleComplex values. Thanks to the symmetry, only the upper or lower-triangular portion needs to be stored.

Symmetric matrices can be constructed from scratch, or they can be derived or extracted from the upper or lower triangular portion of a ComplexDenseMatrix using one of the Extract(ComplexDenseMatrix, Int32, Int32, Int32, MatrixTriangle, Boolean) methods.

The ComplexHermitianMatrix class implements algorithms using the hermitian matrix BLAS and LAPACK routines. Symmetric matrices are always stored in column-major order.

Inheritance Hierarchy

System..::..Object
  Extreme.Mathematics.LinearAlgebra.Complex..::..ComplexLinearOperator
    Extreme.Mathematics..::..ComplexMatrix
      Extreme.Mathematics.LinearAlgebra.Complex..::..ComplexHermitianMatrix