public sealed class SingleComplexCholeskyDecomposition : SingleComplexDecomposition

Public NotInheritable Class SingleComplexCholeskyDecomposition
	Inherits SingleComplexDecomposition

public ref class SingleComplexCholeskyDecomposition sealed : public SingleComplexDecomposition

[<SealedAttribute>]
type SingleComplexCholeskyDecomposition =  
    class
        inherit SingleComplexDecomposition
    end

The SingleComplexCholeskyDecomposition type exposes the following members.

	Name	Description
	SingleComplexCholeskyDecomposition(SingleComplexHermitianMatrix)	Constructs a new ComplexCholeskyDecomposition object.
	SingleComplexCholeskyDecomposition(SingleComplexHermitianMatrix, Boolean)	Constructs a new ComplexCholeskyDecomposition object.

	Name	Description
	BaseMatrix	Gets the underlying matrix of the decomposition. (Inherited from SingleComplexDecomposition.)
	Overwrite	Gets or sets a value indicating whether the BaseMatrix should be overwritten by its decomposition. (Inherited from SingleComplexDecomposition.)
	TriangularFactor	Gets the SingleComplexTriangularMatrix component of this ComplexCholeskyDecomposition.

	Name	Description
	Decompose	Performs the actual Cholesky decomposition. (Overrides SingleComplexDecompositionDecompose.)
	Equals	Determines whether the specified Object is equal to the current Object. (Inherited from Object.)
	EstimateConditionNumber	Calculates an estimate for the condition number of the decomposed SingleComplexDenseMatrix. (Overrides SingleComplexLinearTransformationEstimateConditionNumber.)
	GetDeterminant	Calculates the determinant of the factorized SingleComplexDenseMatrix. (Overrides SingleComplexLinearTransformationGetDeterminant.)
	GetHashCode	Serves as a hash function for a particular type. (Inherited from Object.)
	GetInverse	Calculates the inverse of the factorized SingleComplexHermitianMatrix. (Overrides SingleComplexLinearTransformationGetInverse.)
	GetObjectData	Populates a SerializationInfo with the data needed to serialize the target object. (Inherited from SingleComplexLinearTransformation.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	IsSingular	Gets a value indicating whether the BaseMatrix of this decomposition is singular. (Inherited from SingleComplexDecomposition.)
	Rank	Returns the numerical rank of a matrix. (Inherited from SingleComplexLinearTransformation.)
	Rank(Single)	Returns the numerical rank of the matrix using the specified tolerance. (Overrides SingleComplexLinearTransformationRank(Single).)
	Solve(SingleComplexMatrix)	Solves the system of linear equations for the specified right-hand side SingleComplexMatrix. (Inherited from SingleComplexLinearTransformation.)
	Solve(SingleComplexVector)	Solves the system of linear equations for the specified right-hand side ComplexVector. (Inherited from SingleComplexLinearTransformation.)
	Solve(SingleComplexDenseMatrix, Boolean)	Solves the system of simultaneous linear equations for the specified right-hand side SingleComplexDenseMatrix and optionally overwrites the right-hand side with the solution. (Overrides SingleComplexLinearTransformationSolve(SingleComplexDenseMatrix, Boolean).)
	Solve(SingleComplexDenseVector, Boolean)	Solves the system of simultaneous linear equations for the specified right-hand side ComplexDenseVector and optionally overwrites the right-hand side with the solution. (Overrides SingleComplexLinearTransformationSolve(SingleComplexDenseVector, Boolean).)
	ToString	Returns a string that represents the current object. (Inherited from Object.)

ComplexCholeskyDecomposition can operate in two modes. In overwrite mode, the original matrix is overwritten with the result of 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.

ComplexCholeskyDecomposition inherits from SingleLinearTransformation. This means you can use it to solve systems of linear equations where the matrix of the system is hermitian and positive definite. 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 condition number.

To solve a general (non-hermitian or non-positive definite)system of equations, use the ComplexLUDecomposition class instead.

Numerical Libraries

Reference