public abstract class ComplexDecomposition : ComplexLinearOperator

Public MustInherit Class ComplexDecomposition
	Inherits ComplexLinearOperator

public ref class ComplexDecomposition abstract : public ComplexLinearOperator

[<AbstractClassAttribute>]
type ComplexDecomposition =  
    class
        inherit ComplexLinearOperator
    end

The ComplexDecomposition type exposes the following members.

	Name	Description
	ComplexDecomposition	Constructs a new ComplexDecomposition object.

	Name	Description
	BaseMatrix	Gets the underlying matrix of the decomposition.
	Done	Gets or sets whether the decomposition has been performed.
	Factors	Gets a collection of the matrix factors that make up the decomposition.
	Overwrite	Gets or sets a value indicating whether the BaseMatrix should be overwritten by its decomposition.

	Name	Description
	Decompose	Performs the actual decomposition.
	Equals	Determines whether the specified Object is equal to the current Object. (Inherited from Object.)
	EstimateConditionNumber	Calculates an estimate for the condition number of a matrix. (Inherited from ComplexLinearOperator.)
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.)
	GetDeterminant	Calculates the determinant of a matrix. (Inherited from ComplexLinearOperator.)
	GetHashCode	Serves as a hash function for a particular type. (Inherited from Object.)
	GetInverse	Calculates the inverse matrix.. (Inherited from ComplexLinearOperator.)
	GetInverse(Boolean)	Calculates the inverse of the factorized ComplexMatrix. (Inherited from ComplexLinearOperator.)
	GetObjectData	Populates a SerializationInfo with the data needed to serialize the target object. (Inherited from ComplexLinearOperator.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	IsSingular	Gets a value indicating whether the BaseMatrix of this decomposition is singular. (Overrides ComplexLinearOperatorIsSingular.)
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object.)
	Multiply(ComplexMatrix)	Multiplies the decomposition to a matrix. (Overrides ComplexLinearOperatorMultiply(ComplexMatrix).)
	Multiply(ComplexVector)	Applies the base matrix of the decomposition to a vector. (Overrides ComplexLinearOperatorMultiply(ComplexVector).)
	MultiplyTranspose(ComplexMatrix)	Multiplies the transpose of the decomposition to a matrix. (Overrides ComplexLinearOperatorMultiplyTranspose(ComplexMatrix).)
	MultiplyTranspose(ComplexVector)	Multiplies the transpose of the decomposition to a vector. (Overrides ComplexLinearOperatorMultiplyTranspose(ComplexVector).)
	Rank	Returns the numerical rank of a matrix. (Inherited from ComplexLinearOperator.)
	Rank(Double)	Returns the numerical rank of a matrix using the specified tolerance. (Inherited from ComplexLinearOperator.)
	SetSingular	Sets a flag that indicates the underlying matrix of this decomposition is singular.
	Solve(ComplexMatrix)	Solves the system of linear equations for the specified right-hand side ComplexMatrix. (Inherited from ComplexLinearOperator.)
	Solve(ComplexVector)	Solves the system of linear equations for the specified right-hand side complex vector. (Inherited from ComplexLinearOperator.)
	Solve(ComplexDenseMatrix, Boolean)	Solves the system of linear equations for the specified right-hand side ComplexDenseMatrix and optionally overwrites the right-hand side with the solution. (Inherited from ComplexLinearOperator.)
	Solve(ComplexDenseVector, Boolean)	Solves the system of linear equations for the specified right-hand side ComplexDenseVector and optionally overwrites the right-hand side with the solution. (Inherited from ComplexLinearOperator.)
	SolveTranspose(ComplexMatrix)	Solves the transposed system of linear equations for the specified right-hand side ComplexMatrix. (Inherited from ComplexLinearOperator.)
	SolveTranspose(ComplexVector)	Solves the system of linear equations for the specified right-hand side complex vector. (Inherited from ComplexLinearOperator.)
	SolveTranspose(ComplexDenseMatrix, Boolean)	Solves the transposed system of linear equations for the specified right-hand side ComplexDenseMatrix and optionally overwrites the right-hand side with the solution. (Inherited from ComplexLinearOperator.)
	SolveTranspose(ComplexDenseVector, Boolean)	Solves the transposed system of linear equations for the specified right-hand side ComplexDenseVector and optionally overwrites the right-hand side with the solution. (Inherited from ComplexLinearOperator.)
	ToString	Returns a string that represents the current object. (Inherited from Object.)

The ComplexDecomposition class represents a decomposition of a matrix into a product of matrices with specific properties.

The ComplexDecomposition class defines methods and properties that are shared by all decomposition classes. This includes methods related to solving systems of simultaneous linear equations defined by the LinearOperator abstract base class.

The ComplexDecomposition class is an abstract base class and cannot be instantiated directly. Instead, use one of its derived classes. These are:

Notes to inheritors: When you inherit from ComplexDecomposition, you must override the following members: EstimateConditionNumber, GetDeterminant, GetInverse, Rank(Double), Solve(ComplexDenseMatrix, Boolean), Solve(ComplexDenseVector, Boolean).

Numerical Libraries

Reference