[SerializableAttribute]
public abstract class ComplexLinearOperator

<SerializableAttribute>
Public MustInherit Class ComplexLinearOperator

[SerializableAttribute]
public ref class ComplexLinearOperator abstract

[<AbstractClassAttribute>]
[<SerializableAttribute>]
type ComplexLinearOperator =  class end

The ComplexLinearOperator type exposes the following members.

	Name	Description
	ComplexLinearOperator	Constructs a new LinearOperator.
	ComplexLinearOperator(SerializationInfo, StreamingContext)	Constructs a new LinearOperator from serialization data.

	Name	Description
	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.
	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.
	GetHashCode	Serves as a hash function for a particular type. (Inherited from Object.)
	GetInverse	Calculates the inverse matrix..
	GetInverse(Boolean)	Calculates the inverse of the factorized ComplexMatrix.
	GetObjectData	Populates a SerializationInfo with the data needed to serialize the target object.
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	IsSingular	Gets a value indicating whether the ComplexMatrix is singular.
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object.)
	Multiply(ComplexMatrix)	Applies the transformation to a matrix.
	Multiply(ComplexVector)	Applies the transformation to a vector.
	MultiplyTranspose(ComplexMatrix)	Applies the transpose of the transformation to a matrix.
	MultiplyTranspose(ComplexVector)	Applies the transpose of the transformation to a vector.
	Rank	Returns the numerical rank of a matrix.
	Rank(Double)	Returns the numerical rank of a matrix using the specified tolerance.
	Solve(ComplexMatrix)	Solves the system of linear equations for the specified right-hand side ComplexMatrix.
	Solve(ComplexVector)	Solves the system of linear equations for the specified right-hand side complex vector.
	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.
	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.
	SolveTranspose(ComplexMatrix)	Solves the transposed system of linear equations for the specified right-hand side ComplexMatrix.
	SolveTranspose(ComplexVector)	Solves the system of linear equations for the specified right-hand side complex vector.
	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.
	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.
	ToString	Returns a string that represents the current object. (Inherited from Object.)

	Name	Description
	Multiply(ComplexLinearOperator, ComplexMatrix)	Applies a linear transformation to a vector.
	Multiply(ComplexLinearOperator, ComplexVector)	Applies a linear transformation to a vector.

LinearOperator is implemented by all ComplexMatrix classes and all classes that represent matrix decompositions.

The solution of a system of simultaneous linear equations represented by a ComplexMatrix is one of the most common tasks in linear algebra. The Solve(ComplexVector) mechanism, which is overloaded, defines a common method for all classes that can represent matrices. This not only includes the ComplexMatrix class and its descendants, but also the ComplexDecomposition class and its descendants.

LinearOperator also defines operations that are related to solving systems of equations, such as calculating the matrix GetInverse, the GetDeterminant and an estimate for the EstimateConditionNumber.

Numerical Libraries

Reference