[SerializableAttribute]
public sealed class ComplexDenseVector : ComplexVector, 
	IEnumerable, IComplexStorage, ICloneable, ISerializable

<SerializableAttribute>
Public NotInheritable Class ComplexDenseVector
	Inherits ComplexVector
	Implements IEnumerable, IComplexStorage, ICloneable, ISerializable

[SerializableAttribute]
public ref class ComplexDenseVector sealed : public ComplexVector, 
	IEnumerable, IComplexStorage, ICloneable, ISerializable

[<SealedAttribute>]
[<SerializableAttribute>]
type ComplexDenseVector =  
    class
        inherit ComplexVector
        interface IEnumerable
        interface IComplexStorage
        interface ICloneable
        interface ISerializable
    end

The ComplexDenseVector type exposes the following members.

	Name	Description
	ComplexDenseVector(Int32)	Constructs a new ComplexDenseVector with the specified length.
	ComplexDenseVector(DoubleComplex)	Constructs a new ComplexDenseVector with the specified components.
	ComplexDenseVector(Double, Double)	Constructs a new ComplexDenseVector with the specified components.
	ComplexDenseVector(Int32, DoubleComplex)	Constructs a new ComplexDenseVector with the specified components.
	ComplexDenseVector(Int32, FuncInt32, DoubleComplex)	Obsolete. Constructs a new ComplexDenseVector and initializes it using the specified delegate.
	ComplexDenseVector(DoubleComplex, Boolean)	Constructs a new ComplexDenseVector with the specified components.
	ComplexDenseVector(Int32, DoubleComplex, Boolean)	Constructs a new ComplexDenseVector with the specified components.

	Name	Description
	ItemInt32	Gets or sets a specific component of this vector. (Inherited from ComplexVector.)
	ItemRange	Gets or sets a range of components of the complex vector. (Inherited from ComplexVector.)
	Length	Gets the number of elements in the complex vector. (Inherited from ComplexVector.)
	StorageArray	Gets the DoubleComplex array that stores the values for the instance.
	StorageIncrement	Gets the increment between successive elements of this instance in the StorageArray.
	StorageOffset	Gets the index of the first element of this instance in the StorageArray.

	Name	Description
	AbsoluteMax	Returns the value of the component in this ComplexDenseVector that has the largest absolute value. (Overrides ComplexVectorAbsoluteMax.)
	AbsoluteMaxIndex	Returns the index of the component in this ComplexDenseVector that has the largest absolute value. (Overrides ComplexVectorAbsoluteMaxIndex.)
	AbsoluteMin	Returns the value of the component in this ComplexDenseVector that has the smallest absolute value. (Overrides ComplexVectorAbsoluteMin.)
	AbsoluteMinIndex	Returns the index of the component in this ComplexDenseVector that has the smallest absolute value. (Overrides ComplexVectorAbsoluteMinIndex.)
	Add(ComplexVector)	Adds another ComplexVector to this ComplexVector. (Inherited from ComplexVector.)
	Add(DoubleComplex)	Adds a constant to a vector. (Inherited from ComplexVector.)
	Add(ComplexMatrix, ComplexVector)	Adds the product of a ComplexMatrix and a ComplexVector to this ComplexVector. (Inherited from ComplexVector.)
	Add(DoubleComplex, ComplexVector)	Adds a scaled ComplexVector to this vector. (Overrides ComplexVectorAdd(DoubleComplex, ComplexVector).)
	Add(DoubleComplex, ComplexMatrix, ComplexVector)	Adds the scaled product of a ComplexMatrix and a ComplexVector to this ComplexVector. (Overrides ComplexVectorAdd(DoubleComplex, ComplexMatrix, ComplexVector).)
	Apply(FuncDoubleComplex, DoubleComplex)	Obsolete. Applies a function to the elements of a complex vector. (Inherited from ComplexVector.)
	ApplyInPlace	Applies a function to the elements of a ComplexDenseVector. (Overrides ComplexVectorApplyInPlace(FuncDoubleComplex, DoubleComplex).)
	AsDenseVector	Returns a ComplexDenseVector with the same components as this vector. (Overrides ComplexVectorAsDenseVector.)
	AsGeneralVector	Obsolete. Returns a ComplexDenseVector with the same components as this vector. (Inherited from ComplexVector.)
	Clone	Makes a copy of this complex vector. (Inherited from ComplexVector.)
	Clone(CloningMethod)	Makes a copy of this complex vector using the specified method. (Overrides ComplexVectorClone(CloningMethod).)
	CloneData	Gives this instance its own copy of its elements. (Overrides ComplexVectorCloneData.)
	ComponentwiseDivide(ComplexVector)	Obsolete. Divides the components of this instance by the corresponding components of another vector. (Inherited from ComplexVector.)
	ComponentwiseDivide(Vector)	Divides the components of this instance by the corresponding components of a real vector. (Inherited from ComplexVector.)
	ComponentwiseMultiply(ComplexVector)	Obsolete. Multiplies the components of this instance by the corresponding components of another vector. (Inherited from ComplexVector.)
	ComponentwiseMultiply(Vector)	Obsolete. Multiplies the components of this instance by the corresponding components of a real vector. (Inherited from ComplexVector.)
	Conjugate	Returns a complex vector whose components are the complex conjugate of this vector's components. (Inherited from ComplexVector.)
	CopyTo(ComplexVector)	Copies the components of this complex vector to another vector. (Inherited from ComplexVector.)
	CopyTo(DoubleComplex)	Copies the components of this ComplexDenseVector to another vector. (Overrides ComplexVectorCopyTo(DoubleComplex).)
	CopyTo(ComplexVector, Int32)	Copies the components of this ComplexDenseVector to another vector starting at the specified position. (Overrides ComplexVectorCopyTo(ComplexVector, Int32).)
	DotProduct	Returns the dot product of this vector with another vector. (Overrides ComplexVectorDotProduct(ComplexVector).)
	ElementwiseDivideInPlace	Divides the components of this instance by the corresponding components of another vector. (Inherited from ComplexVector.)
	ElementwiseMultiplyInPlace(ComplexVector)	Multiplies the components of this instance by the corresponding components of another vector. (Inherited from ComplexVector.)
	ElementwiseMultiplyInPlace(Vector)	Multiplies the components of this instance by the corresponding components of a real vector. (Inherited from ComplexVector.)
	Equals(Object)	Determines whether the specified Object is equal to the current ComplexDenseVector. (Overrides ComplexVectorEquals(Object).)
	Equals(Object, IEqualityComparer)	Returns whether an object is structurally equal to this instance. (Inherited from ComplexVector.)
	FromPolar	Returns a new ComplexDenseVector from real vectors containing the amplitude and phase.
	GetAmplitude	Returns a vector containing the amplitude (modulus) of each component of this vector. (Inherited from ComplexVector.)
	GetComponents	Obsolete. Gets the components of the complex vector. (Inherited from ComplexVector.)
	GetEnumerator	Returns a IEnumeratorT for this ComplexDenseVector. (Overrides ComplexVectorGetEnumerator.)
	GetHashCode	Returns the hash code for this instance. (Overrides ComplexVectorGetHashCode.)
	GetHashCode(IEqualityComparer)	Returns a hash code for this instance. (Inherited from ComplexVector.)
	GetImaginaryPart	Returns a real vector containing the imaginary elements of the vector. (Inherited from ComplexVector.)
	GetObjectData	Populates a SerializationInfo with the values needed to serialize the target object. (Overrides ComplexVectorGetObjectData(SerializationInfo, StreamingContext).)
	GetPhase	Returns a vector containing the phase (argument) of each component of this vector. (Inherited from ComplexVector.)
	GetProduct	Gets the product of the elements of the vector. (Inherited from ComplexVector.)
	GetRealPart	Returns a real vector containing the real elements of the vector. (Inherited from ComplexVector.)
	GetSubvector(Range)	Returns a vector whose components are a subset of the components of this instance (Inherited from ComplexVector.)
	GetSubvector(Int32, Int32)	Returns a vector whose components are a subset of the components of this instance (Inherited from ComplexVector.)
	GetSubvector(Int32, Int32, Int32)	Returns a vector that points to a part of this ComplexDenseVector (Overrides ComplexVectorGetSubvector(Int32, Int32, Int32).)
	GetSum	Gets the sum of the elements of the vector. (Inherited from ComplexVector.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	GetValue	Gets the vector component at the specified position. (Overrides ComplexVectorGetValue(Int32).)
	IsComponentWritable	Obsolete. Gets a value indicating whether the value of the component at the specified index can be changed. (Inherited from ComplexVector.)
	IsElementWritable	Gets a value indicating whether the value of the component at the specified index can be changed. (Overrides ComplexVectorIsElementWritable(Int32).)
	Multiply(ComplexMatrix)	Multiplies the vector on the left by a matrix. (Inherited from ComplexVector.)
	Multiply(DoubleComplex)	Multiplies a vector by a given factor. (Overrides ComplexVectorMultiply(DoubleComplex).)
	Multiply(ComplexMatrix, MatrixOperationSide)	Multiplies a ComplexVector by a ComplexMatrix. (Inherited from ComplexVector.)
	Norm	Returns the two-norm of the complex vector. (Inherited from ComplexVector.)
	Norm(Double)	Returns the norm of the specified order of this complex vector. (Inherited from ComplexVector.)
	Norm(Int32)	Returns the norm of the specified order of this complex vector. (Inherited from ComplexVector.)
	Normalize	Scales the complex vector to make its two-norm equal to one. (Inherited from ComplexVector.)
	NormSquared	Returns the square of the two-norm of this complex vector. (Inherited from ComplexVector.)
	OneNorm	Returns the one-norm of this complex vector. (Inherited from ComplexVector.)
	Permute(Permutation)	Permutes a vector. (Inherited from ComplexVector.)
	Permute(Permutation, Boolean)	Permutes a vector. (Inherited from ComplexVector.)
	SetValue(DoubleComplex)	Sets all the components of the ComplexDenseVector to the specified value. (Overrides ComplexVectorSetValue(DoubleComplex).)
	SetValue(DoubleComplex, Int32)	Sets the vector component at the specified position to the specified value. (Overrides ComplexVectorSetValue(DoubleComplex, Int32).)
	ShallowCopy	Makes a shallow copy of this complex vector. (Inherited from ComplexVector.)
	Subtract(ComplexVector)	Subtracts another ComplexVector from this ComplexVector. (Inherited from ComplexVector.)
	Subtract(ComplexMatrix, ComplexVector)	Subtracts the product of a ComplexMatrix and a ComplexVector from this ComplexVector. (Inherited from ComplexVector.)
	Swap	Swaps the elements of two vectors.
	SwapElements	Exchanges two elements of the vector. (Inherited from ComplexVector.)
	ToArray	Gets the components of this ComplexDenseVector. (Overrides ComplexVectorToArray.)
	ToConjugate	Changes the elements of the vector to their complex conjugate. (Inherited from ComplexVector.)
	ToDenseVector	Makes a copy of this instance and returns it as a ComplexDenseVector. (Inherited from ComplexVector.)
	ToGeneralVector	Obsolete. Makes a copy of this instance and returns it as a ComplexDenseVector. (Inherited from ComplexVector.)
	ToString	Returns a String representation of this ComplexVector. (Inherited from ComplexVector.)
	ToString(String)	Converts the numeric value of this complex vector instance to its equivalent string representation, using the specified format. (Inherited from ComplexVector.)
	ToString(String, IFormatProvider)	Returns a String representation of this ComplexDenseMatrix. (Inherited from ComplexVector.)
	Zero	Sets all the components of the complex vector to 0. (Inherited from ComplexVector.)

The ComplexGeneralVector class represents a one-dimensional array of double-precision floating-point numbers.

The ComplexVector class provides methods and properties for all the common operations on vectors, including norms, dot products, as well as retrieving extreme values from a vector.

Overloaded versions of the major arithmetic operators are provided for languages that support them. For languages that don't support operator overloading, equivalent methods are supplied.

To allow for greater efficiency, overloaded instance methods are available for many compound operations on vectors.

Numerical Libraries

Reference