[SerializableAttribute]
public sealed class ComplexDenseMatrix : ComplexMatrix, 
	IComplexStorage, ICloneable, ISerializable

<SerializableAttribute>
Public NotInheritable Class ComplexDenseMatrix
	Inherits ComplexMatrix
	Implements IComplexStorage, ICloneable, ISerializable

[SerializableAttribute]
public ref class ComplexDenseMatrix sealed : public ComplexMatrix, 
	IComplexStorage, ICloneable, ISerializable

[<SealedAttribute>]
[<SerializableAttribute>]
type ComplexDenseMatrix =  
    class
        inherit ComplexMatrix
        interface IComplexStorage
        interface ICloneable
        interface ISerializable
    end

The ComplexDenseMatrix type exposes the following members.

	Name	Description
	ComplexDenseMatrix(DoubleComplex)	Constructs a new ComplexDenseMatrix from a two-dimensional array.
	ComplexDenseMatrix(Int32, Int32)	Constructs a new ComplexDenseMatrix with the specified number of rows and columns
	ComplexDenseMatrix(Int32, Int32, DoubleComplex)	Constructs a new dense matrix with the specified number of rows and columns whose elements are all equal to the specified value.
	ComplexDenseMatrix(Int32, Int32, MatrixElementOrder)	Constructs a new ComplexDenseMatrix with the specified number of rows and columns
	ComplexDenseMatrix(Int32, Int32, DoubleComplex, MatrixElementOrder)	Constructs a new ComplexDenseMatrix of the specified dimensions using the specified values array.
	ComplexDenseMatrix(Int32, Int32, DoubleComplex, MatrixElementOrder, Boolean)	Constructs a new ComplexDenseMatrix of the specified dimensions using the specified values array.

	Name	Description
	ColumnCount	Gets the number of columns in the ComplexMatrix. (Inherited from ComplexMatrix.)
	Columns	Gets the ComplexColumnCollection for this instance. (Inherited from ComplexMatrix.)
	ElementOrder	Gets a value indicating the order in which the matrix elements are stored. (Overrides ComplexMatrixElementOrder.)
	IsHermitian	Gets a value that indicates if the matrix is equal to its conjugate transpose. (Inherited from ComplexMatrix.)
	IsLowerTriangular	Gets a value that indicates if all elements of the matrix above the main diagonal are zero. (Inherited from ComplexMatrix.)
	IsSymmetrical	Gets a value that indicates if the matrix is symmetrical about the main diagonal. (Inherited from ComplexMatrix.)
	IsUnitDiagonal	Gets a value indicating whether all diagonal elements of this instance are equal to 1. (Inherited from ComplexMatrix.)
	IsUpperTriangular	Gets a value that indicates if all elements of the matrix below the main diagonal are zero. (Inherited from ComplexMatrix.)
	ItemInt32, Range	Gets or sets the components of a row of this ComplexMatrix. (Inherited from ComplexMatrix.)
	ItemInt32, Int32	Gets or sets the specified element in this ComplexMatrix. (Inherited from ComplexMatrix.)
	ItemRange, Range	Gets or sets the components of a submatrix of this ComplexMatrix. (Inherited from ComplexMatrix.)
	ItemRange, Int32	Gets or sets the components of a column of this ComplexMatrix. (Inherited from ComplexMatrix.)
	RowCount	Gets the number of rows in the ComplexMatrix. (Inherited from ComplexMatrix.)
	Rows	Gets the ComplexRowCollection for this instance. (Inherited from ComplexMatrix.)

	Name	Description
	Add(ComplexMatrix)	Adds a ComplexMatrix to this ComplexDenseMatrix.
	Add(ComplexDenseMatrix, ComplexDenseMatrix)	Adds two ComplexDenseMatrix objects and returns the result.
	Add(DoubleComplex, ComplexMatrix)	Adds a multiple of a ComplexMatrix to this ComplexDenseMatrix.
	Add(ComplexDenseMatrix, DoubleComplex, ComplexDenseMatrix, ComplexDenseMatrix)	Adds two ComplexDenseMatrix objects and stores the result in a third ComplexDenseMatrix.
	Add(TransposeOperation, TransposeOperation, DoubleComplex, ComplexMatrix)	Adds a multiple of a ComplexMatrix to this ComplexMatrix and returns the result. (Inherited from ComplexMatrix.)
	AddConjugateOuterProduct(ComplexVector)	Updates a matrix with the conjugated outer product of a complex vector and its conjugate.
	AddConjugateOuterProduct(DoubleComplex, ComplexVector)	Updates a matrix with the scaled conjugated outer product of a complex vector and its conjugate.
	AddConjugateOuterProduct(DoubleComplex, ComplexVector, ComplexVector)	Updates a matrix with the scaled conjugated outer product of two vectors.
	AddOuterProduct(ComplexVector)	Updates a matrix with the outer product of a complex vector and itself.
	AddOuterProduct(DoubleComplex, ComplexVector)	Updates a matrix with the scaled unconjugated outer product of a complex vector and itself.
	AddOuterProduct(DoubleComplex, ComplexVector, ComplexVector)	Updates a matrix with the scaled unconjugated outer product of two vectors.
	AddProduct(ComplexDenseMatrix, ComplexDenseMatrix)	Adds the product of two ComplexDenseMatrix objects to this ComplexDenseMatrix.
	AddProduct(DoubleComplex, ComplexDenseMatrix, ComplexDenseMatrix)	Adds a multiple of the product of two ComplexDenseMatrix object to this ComplexDenseMatrix.
	AddProductToVector	Multiplies a ComplexVector by this ComplexMatrix and stores the result in a second ComplexVector. (Overrides ComplexMatrixAddProductToVector(DoubleComplex, ComplexVector, TransposeOperation, DoubleComplex, ComplexDenseVector).)
	AsDenseMatrix	Returns this matrix as a general matrix. ComplexDenseMatrix. (Inherited from ComplexMatrix.)
	Clone	Constructs a deep copy of this ComplexMatrix. (Inherited from ComplexMatrix.)
	CloneData	Gives this instance its own copy of its elements. (Overrides ComplexMatrixCloneData.)
	CloneData(MatrixElementOrder)	Gives this instance its own copy of its elements.
	ComponentwiseDivide(ComplexMatrix)	Obsolete. Divides the components of this instance by the corresponding components of another matrix. (Inherited from ComplexMatrix.)
	ComponentwiseMultiply(ComplexMatrix)	Obsolete. Multiplies the components of this instance by the corresponding components of another matrix. (Inherited from ComplexMatrix.)
	Conjugate	Returns the conjugate transpose of this instance. (Inherited from ComplexMatrix.)
	ConjugateTranspose	Returns the conjugate transpose of this instance. (Inherited from ComplexMatrix.)
	CopyTo	Copies the components of this ComplexMatrix to another matrix. (Inherited from ComplexMatrix.)
	ElementwiseDivideInPlace	Divides the components of this instance by the corresponding components of another matrix. (Inherited from ComplexMatrix.)
	ElementwiseMultiplyInPlace	Multiplies the components of this instance by the corresponding components of another matrix. (Inherited from ComplexMatrix.)
	Equals(Object)	Determines whether the specified Object is equal to the current ComplexMatrix. (Inherited from ComplexMatrix.)
	Equals(Object, IEqualityComparer)	Returns whether an object is structurally equal to this instance. (Inherited from ComplexMatrix.)
	EstimateConditionNumber	Calculates an estimate for the condition number of this ComplexMatrix. (Inherited from ComplexMatrix.)
	FrobeniusNorm	Returns the Frobenius norm of this ComplexMatrix. (Inherited from ComplexMatrix.)
	GetCholeskyDecomposition	Returns the Cholesky decomposition of the matrix. (Inherited from ComplexMatrix.)
	GetCholeskyDecomposition(Boolean)	Returns the Cholesky decomposition of the matrix. (Overrides ComplexMatrixGetCholeskyDecomposition(Boolean).)
	GetColumn(Int32)	Returns a column complex vector for this instance that points at the specified column. (Inherited from ComplexMatrix.)
	GetColumn(Int32, Range)	Returns a column complex vector for this instance starting at the specified column and row and of the specified length. (Inherited from ComplexMatrix.)
	GetColumn(Int32, Int32, Int32)	Returns a column complex vector for this instance starting at the specified column and row and of the specified length. (Inherited from ComplexMatrix.)
	GetColumn(Int32, Int32, Int32, Int32)	Returns a column complex vector for this instance starting at the specified column and row and of the specified length. (Overrides ComplexMatrixGetColumn(Int32, Int32, Int32, Int32).)
	GetColumnEnumerator	Obsolete. Gets an IEnumerator than can be used to enumerate the columns of this ComplexDenseMatrix. (Overrides ComplexMatrixGetColumnEnumerator.)
	GetComponents	Obsolete. Gets the components of the complex vector. (Inherited from ComplexMatrix.)
	GetComponents(MatrixElementOrder)	Obsolete. Gets the components of the complex vector. (Inherited from ComplexMatrix.)
	GetConditionNumber	Calculates the condition number of this matrix. (Inherited from ComplexMatrix.)
	GetDeterminant	Calculates the determinant of this ComplexMatrix. (Inherited from ComplexMatrix.)
	GetDiagonal	Gets a complex vector view of the diagonal elements of this instance. (Inherited from ComplexMatrix.)
	GetDiagonal(Int32)	Gets a complex vector view of the specified diagonal of this instance. (Overrides ComplexMatrixGetDiagonal(Int32).)
	GetEigenvalueDecomposition	Returns the eigenvalue decomposition for this matrix. (Inherited from ComplexMatrix.)
	GetEigenvalueDecomposition(Boolean)	Returns the eigenvalue decomposition for this matrix. (Overrides ComplexMatrixGetEigenvalueDecomposition(Boolean).)
	GetHashCode	Returns the hash code for this instance. (Inherited from ComplexMatrix.)
	GetHashCode(IEqualityComparer)	Returns a hash code for this instance. (Inherited from ComplexMatrix.)
	GetIdentity	Returns an identity matrix of the specified dimension.
	GetImaginaryPart	Returns a real matrix containing the imaginary elements of the matrix. (Inherited from ComplexMatrix.)
	GetInverse	Calculates the inverse matrix.. (Inherited from ComplexLinearOperator.)
	GetInverse(Boolean)	Calculates the inverse of this ComplexMatrix. (Inherited from ComplexMatrix.)
	GetLUDecomposition	Returns the LU decomposition of the matrix. (Inherited from ComplexMatrix.)
	GetLUDecomposition(Boolean)	Returns the LU decomposition of the matrix. (Overrides ComplexMatrixGetLUDecomposition(Boolean).)
	GetObjectData	Populates a SerializationInfo with the values needed to serialize the target object. (Overrides ComplexMatrixGetObjectData(SerializationInfo, StreamingContext).)
	GetQRDecomposition	Returns the QR decomposition of the matrix. (Inherited from ComplexMatrix.)
	GetQRDecomposition(Boolean)	Returns the QR decomposition of the matrix. (Overrides ComplexMatrixGetQRDecomposition(Boolean).)
	GetRealPart	Returns a real matrix containing the real elements of the matrix. (Inherited from ComplexMatrix.)
	GetRow(Int32)	Returns a row complex vector for this instance that points at the specified row. (Inherited from ComplexMatrix.)
	GetRow(Int32, Range)	Returns a row complex vector for this instance starting at the specified row and column and of the specified length. (Inherited from ComplexMatrix.)
	GetRow(Int32, Int32, Int32)	Returns a row complex vector for this instance over the specified range. (Inherited from ComplexMatrix.)
	GetRow(Int32, Int32, Int32, Int32)	Returns a row complex vector for this instance starting at the specified row and column and of the specified length. (Overrides ComplexMatrixGetRow(Int32, Int32, Int32, Int32).)
	GetRowEnumerator	Obsolete. Constructs an IEnumerator object that can be used to enumerate the rows of this ComplexDenseMatrix. (Overrides ComplexMatrixGetRowEnumerator.)
	GetSingularValueDecomposition	Returns the singular value decomposition of the matrix. (Inherited from ComplexMatrix.)
	GetSingularValueDecomposition(SingularValueDecompositionFactors)	Returns the singular value decomposition of the matrix. (Inherited from ComplexMatrix.)
	GetSingularValueDecomposition(SingularValueDecompositionFactors, Boolean)	Returns the singular value decomposition of the matrix. (Overrides ComplexMatrixGetSingularValueDecomposition(SingularValueDecompositionFactors, Boolean).)
	GetSingularValues	Gets a vector containing the singular values of the matrix. (Inherited from ComplexMatrix.)
	GetSubmatrix(Range, Range)	Gets a ComplexMatrix that is a submatrix of this ComplexMatrix. (Inherited from ComplexMatrix.)
	GetSubmatrix(Range, Range, TransposeOperation)	Gets a ComplexMatrix that is a submatrix of this ComplexMatrix. (Inherited from ComplexMatrix.)
	GetSubmatrix(Int32, Int32, Int32, Int32)	Gets a ComplexMatrix that is a submatrix of this ComplexMatrix. (Inherited from ComplexMatrix.)
	GetSubmatrix(Int32, Int32, Int32, Int32, Int32, Int32, TransposeOperation)	Gets a ComplexDenseMatrix that is a submatrix of this matrix. (Overrides ComplexMatrixGetSubmatrix(Int32, Int32, Int32, Int32, Int32, Int32, TransposeOperation).)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	GetValue	Gets the matrix component at the specified position. (Overrides ComplexMatrixGetValue(Int32, Int32).)
	InfinityNorm	Returns the infinity norm of this ComplexMatrix. (Inherited from ComplexMatrix.)
	IsComponentWritable	Obsolete. Returns whether the value of the component at the specified row and column can be changed. (Inherited from ComplexMatrix.)
	IsElementWritable	Gets a value indicating whether the value of the component at the specified row and column can be changed. (Overrides ComplexMatrixIsElementWritable(Int32, Int32).)
	IsSingular	Gets a value indicating whether this matrix is singular. (Inherited from ComplexMatrix.)
	Multiply(ComplexMatrix)	Multiplies this ComplexDenseMatrix on the right by a ComplexMatrix.
	Multiply(ComplexVector)	Applies the matrix to a vector. (Inherited from ComplexMatrix.)
	Multiply(DoubleComplex)	Multiplies this ComplexMatrix by a scalar factor. (Inherited from ComplexMatrix.)
	Multiply(ComplexDenseMatrix, ComplexDenseMatrix)	Multiplies two ComplexMatrix objects.
	Multiply(ComplexDenseMatrix, ComplexDenseMatrix, ComplexDenseMatrix)	Multiplies two ComplexDenseMatrix objects and stores the result in a third ComplexDenseMatrix.
	Multiply(MatrixOperationSide, TransposeOperation, TransposeOperation, ComplexMatrix)	Multiplies this ComplexMatrix by another matrix and returns the result. (Overrides ComplexMatrixMultiply(MatrixOperationSide, TransposeOperation, TransposeOperation, ComplexMatrix).)
	MultiplyByConjugateTranspose	Multiplies this ComplexDenseMatrix by its Transpose.
	MultiplyTranspose(ComplexMatrix)	Applies the transpose of the matrix to a matrix. (Inherited from ComplexMatrix.)
	MultiplyTranspose(ComplexVector)	Applies the transpose of the matrix to a vector. (Inherited from ComplexMatrix.)
	OneNorm	Returns the 1-norm of this ComplexMatrix. (Inherited from ComplexMatrix.)
	PermuteColumns	Permutes the columns of the matrix using the specified Permutation. (Inherited from ComplexMatrix.)
	PermuteRows	Permutes the rows of the matrix using the specified Permutation. (Inherited from ComplexMatrix.)
	PermuteRowsAndColumns(Permutation)	Permutes the rows and columns of the matrix using the specified Permutation. (Inherited from ComplexMatrix.)
	PermuteRowsAndColumns(Permutation, Permutation)	Permutes the rows and columns of the matrix using the specified row and column Permutation. (Inherited from ComplexMatrix.)
	PreMultiply	Multiplies this ComplexDenseMatrix on the left by a ComplexMatrix.
	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 ComplexMatrix.)
	ScaleColumns	Scales the columns of the matrix by the values specified by a vector. (Inherited from ComplexMatrix.)
	ScaleRows	Scales the rows of the matrix by the values specified by a vector. (Inherited from ComplexMatrix.)
	SetToZero	Sets all elements of the matrix to zero. (Inherited from ComplexMatrix.)
	SetValue(DoubleComplex)	Sets all elements of the matrix to the specified value. (Inherited from ComplexMatrix.)
	SetValue(DoubleComplex, Int32, Int32)	Sets the matrix component at the specified position to the specified value. (Overrides ComplexMatrixSetValue(DoubleComplex, Int32, Int32).)
	ShallowCopy	Makes a shallow copy of this ComplexMatrix. (Inherited from ComplexMatrix.)
	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 simultaneous linear equations for the specified right-hand side ComplexDenseMatrix and overwrites the right-hand side with the solution. (Overrides ComplexMatrixSolve(ComplexDenseMatrix, Boolean).)
	Solve(ComplexDenseVector, Boolean)	Solves the system of simultaneous linear equations for the specified right-hand side complex vector. (Overrides ComplexMatrixSolve(ComplexDenseVector, Boolean).)
	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 system of simultaneous linear equations for the specified right-hand side ComplexDenseMatrix and overwrites the right-hand side with the solution. (Overrides ComplexMatrixSolveTranspose(ComplexDenseMatrix, Boolean).)
	SolveTranspose(ComplexDenseVector, Boolean)	Solves the system of simultaneous linear equations for the specified right-hand side complex vector. (Overrides ComplexMatrixSolveTranspose(ComplexDenseVector, Boolean).)
	Subtract(ComplexDenseMatrix, ComplexDenseMatrix)	Subtracts two ComplexDenseMatrix objects.
	Subtract(ComplexDenseMatrix, ComplexDenseMatrix, ComplexDenseMatrix)	Subtracts two ComplexDenseMatrix objects and stores the result in a third ComplexDenseMatrix.
	SubtractProduct	Subtracts the product of two ComplexDenseMatrix object to this ComplexDenseMatrix.
	SwapColumns	Swaps the columns with the specified indices. (Inherited from ComplexMatrix.)
	SwapRows	Swaps the rows with the specified indices. (Inherited from ComplexMatrix.)
	ToArray	Gets the components of the complex vector. (Inherited from ComplexMatrix.)
	ToArray(MatrixElementOrder)	Gets the components of the complex vector. (Inherited from ComplexMatrix.)
	ToDenseMatrix	Makes a copy of this instance and returns it as a ComplexDenseMatrix. (Inherited from ComplexMatrix.)
	ToGeneralMatrix	Obsolete. Makes a copy of this instance and returns it as a ComplexDenseMatrix. (Inherited from ComplexMatrix.)
	ToString	Returns a String representation of this ComplexMatrix. (Inherited from ComplexMatrix.)
	ToString(String)	Returns a String representation of this ComplexMatrix. (Inherited from ComplexMatrix.)
	ToString(String, IFormatProvider)	Returns a String representation of this ComplexMatrix. (Inherited from ComplexMatrix.)
	Trace	Gets the sum of the diagonal elements of this ComplexMatrix. (Inherited from ComplexMatrix.)
	Transpose	Returns the transpose of this instance. (Overrides ComplexMatrixTranspose.)
	UnscaleColumns	Scales the columns of the matrix by the inverse of the values specified by a vector. (Inherited from ComplexMatrix.)
	UnscaleRows	Scales the rows of the matrix by the inverse of the values specified by a vector. (Inherited from ComplexMatrix.)

A matrix is a two-dimensional array of real numbers. Use the ComplexDenseMatrix class to represent general, dense matrices. It is the most general implementation of the ComplexMatrix class. No components are assumed to have a specific value, and no relationship is assumed to exist between different components.

The components of a ComplexDenseMatrix are stored in a one-dimensional array of DoubleComplex values. By default, components that are adjacent in a column of the matrix are adjacent in the storage array. The components are said to be stored in column major order. It is also possible to have elements stored in row major order.

The ComplexDenseMatrix class implements algorithms using the general matrix BLAS and LAPACK routines. These routines assume matrix components are stored in column major order. However, any necessary conversions are performed transparantly. No additional work is needed. In some cases there might be a small performance penalty.

Because ComplexDenseMatrix can represent any matrix, it is often used as the return type of matrix operations.

Numerical Libraries

Reference