Represents a vector, a one-dimensional array of
real numbers.
Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics (Extreme.Numerics)
Syntax
| Visual Basic (Declaration) |
|---|
Public MustInherit Class Vector _ Implements ICloneable, IFormattable, IList(Of Double), ICollection(Of Double), IEnumerable(Of Double), IEnumerable |
| C# |
|---|
public abstract class Vector : ICloneable, IFormattable, IList<double>, ICollection<double>, IEnumerable<double>, IEnumerable |
| C++ |
|---|
public ref class Vector abstract : ICloneable, IFormattable, IList<double>, ICollection<double>, IEnumerable<double>, IEnumerable |
Methods
| Icon | Type | Description |
|---|---|---|
  | Abs(Vector) |
Returns a Vector whose components are the absolute values of the components of another vector.
|
| AbsoluteMax() |
Returns the value of the component in this
Vector that has the largest absolute
value.
|
| AbsoluteMaxIndex() |
Returns the index of the component in this
Vector that has the largest absolute
value.
|
| AbsoluteMin() |
Returns the value of the component in this
Vector that has the smallest absolute
value.
|
| AbsoluteMinIndex() |
Returns the index of the component in this
Vector that has the smallest absolute
value.
|
| Add(Vector) |
Adds another vector to this vector.
|
| Add(Double, Vector) |
Adds a scaled vector to this vector.
|
| Add(Matrix, Vector) | |
| Add(Double, Matrix, Vector) | |
| Add(Vector, Vector) |
Adds two Vector values.
|
| Addition(Vector, Vector) |
Adds two Vector values.
|
| Apply(RealFunction) |
Applies a function to the elements of a Vector.
|
| Apply(RealFunction, Vector) |
Applies a function to the elements of a Vector
and returns the result in a new vector.
|
| Clone() |
Makes a copy of this Vector.
|
| Clone(CloningMethod) |
Makes a copy of this Vector using the specified
method.
|
| CloneData() |
If possible, gives this instance its own copy of its elements.
|
| ComponentwiseDivide(Vector, Vector) |
Divides the components of a Vector by the corresponding
components of another vector.
|
| ComponentwiseDivide(Vector) |
Divides the components of this instance by the corresponding
components of another vector.
|
| ComponentwiseMultiply(Vector, Vector) |
Multiplies the components of a Vector by the corresponding
components of another vector.
|
| ComponentwiseMultiply(Vector) |
Multiplies the components of this instance by the corresponding
components of another vector.
|
| CopyTo(Vector, Int32) |
Copies the components of this Vector
to another vector starting at the specified position.
|
| CopyTo(Vector) |
Copies the components of this Vector
to another vector.
|
| CopyTo(Double[]()) |
Copies the components of this Vector
to another vector.
|
| Cos(Vector) |
Returns a Vector whose components are the cosines of the components of another vector.
|
| Divide(Vector, Double) |
Divides a Vector by a constant.
|
| Division(Vector, Double) |
Divides a Vector by a constant.
|
| DotProduct(Vector) |
Returns the dot product of this vector with another
vector.
|
| DotProduct(Vector, Vector) |
Returns the dot product of two vectors.
|
| Equality(Vector, Vector) |
Returns a value indicating whether two instances
of Vector are equal.
|
| Equals(Object) |
Determines whether the specified Object
is equal to the current Vector.
|
| Exp(Vector) |
Returns a Vector whose components are the exponential of the components of another vector.
|
 | Finalize() | |
| GetComponents() |
Gets the components of the Vector.
|
| GetEnumerator() |
Returns a VectorEnumerator for this
Vector.
|
| GetHashCode() |
Returns the hash code for this instance.
|
| GetObjectData(SerializationInfo, StreamingContext) |
Populates a SerializationInfo with the data
needed to serialize the target object.
|
| GetSubvector(Range) |
Returns a vector whose components are a subset of the components of
this instance
|
| GetSubvector(Int32, Int32) |
Returns a vector whose components are a subset of the components of
this instance
|
| GetSubvector(Int32, Int32, Int32) |
Returns a vector whose components are a subset of the components of
this instance
|
| GetSubvector(Int32, Int32, Int32, Intent) |
Returns a vector whose components are a subset of the components of
this instance
|
| GetSum() |
Gets the sum of the components of the vector.
|
| GetType() | Gets the Type of the current instance. |
| GetValue(Int32) |
Gets the vector component at the specified position.
|
| Inequality(Vector, Vector) |
Returns a value indicating whether two instances
of Vector are not equal.
|
| Inverse(Vector) |
Returns a Vector whose components are the inverses (reciprocals) of the components of another vector.
|
| IsComponentWritable(Int32) |
Gets a value indicating whether the value of the component at
the specified index can be changed.
|
| Log(Vector) |
Returns a Vector whose components are the logarithms of the components of another vector.
|
| Max() |
Returns the value of the largest component in this
Vector.
|
| Max(Vector, Vector) |
Returns a Vector whose components are the maximums of the components of two vectors.
|
| Max(Double, Vector) |
Returns a Vector whose components are the maximum of the components of a vector
and a real number..
|
| Max(Vector, Double) |
Returns a Vector whose components are the maximum of the components of a vector
and a real number..
|
| MaxIndex() |
Returns the index of the largest component in this
Vector.
|
| MemberwiseClone() | Creates a shallow copy of the current Object. |
| Min() |
Returns the value of the smallest component in this
Vector.
|
| Min(Vector, Vector) |
Returns a Vector whose components are the minimums of the components of two vectors.
|
| Min(Vector, Double) |
Returns a Vector whose components are the minimums of the components of a vector
and a real number.
|
| Min(Double, Vector) |
Returns a Vector whose components are the minimums of the components of a vector
and a real number.
|
| MinIndex() |
Returns the index of the smallest component in this
Vector.
|
| Multiply(Double) |
Multiplies a vector by a given factor.
|
| Multiply(Matrix) | |
| Multiply(Matrix, MatrixOperationSide) |
Multiplies a Vector by a Matrix.
|
| Multiply(Double, Vector) |
Multiplies a Vector by a constant.
|
| Multiply(Double, Vector) |
Multiplies a Vector by a constant.
|
| Multiply(Vector, Double) |
Multiplies a Vector by a constant.
|
| Negate(Vector) |
Negates a Vector.
|
| Norm() |
Returns the two-norm of the Vector.
|
| Norm(Int32) |
Returns the norm of the specified order of this
Vector.
|
| Norm(Double) |
Returns the norm of the specified order of this
Vector.
|
| Normalize() |
Scales the Vector to make its
two-norm equal to one.
|
| NormInternal(Int32) |
Returns the norm of the specified order of this
Vector.
|
| NormInternal(Double) |
Returns the norm of the specified order of this
Vector.
|
| NormSquared() |
Returns the square of the two-norm of this Vector.
|
| OneNorm() |
Returns the one-norm of this Vector.
|
| Pow(Vector, Double) |
Returns a Vector whose components are the components of another vector raised to the specified power.
|
| Pow(Vector, Int32) |
Returns a Vector whose components are the components of another vector raised to the specified power.
|
| SetToZero() |
Sets all the components of the Vector to 0.
|
| SetValue(Double, Int32) |
Sets the vector component at the specified position to the specified value.
|
| SetValue(Double) |
Sets all the components of the Vector to
the specified value.
|
| ShallowCopy() |
Makes a shallow copy of this Vector.
|
| Sin(Vector) |
Returns a Vector whose components are the sines of the components of another vector.
|
| Sqrt(Vector) |
Returns a Vector whose components are the square roots of the components of another vector.
|
| Subtract(Vector) |
Subtracts another Vector from this Vector.
|
| Subtract(Matrix, Vector) | |
| Subtract(Vector, Vector) |
Subtracts two Vector values.
|
| Subtraction(Vector, Vector) |
Subtracts two Vector values.
|
| Swap(Vector, Vector) |
Swaps the elements of two vectors.
|
| SwapElements(Int32, Int32) |
Exchanges two elements of the vector.
|
| Tan(Vector) |
Returns a Vector whose components are the tangents of the components of another vector.
|
| ToGeneralVector() |
Makes a copy of this instance and returns it as a
GeneralVector.
|
| ToString() |
Returns a String representation of this
Vector.
|
| ToString(String) |
Converts the numeric value of this Vector instance
to its equivalent string representation, using the
specified format.
|
| ToString(String, IFormatProvider) |
Returns a String representation of this
GeneralMatrix.
|
| ToStringInternal(StringBuilder, String, IFormatProvider) |
Writes a string representation of this Vector
to an instance of StringBuilder using the specified
number format.
|
| UnaryNegation(Vector) |
Negates a Vector.
|
| Zero() |
Sets all the components of the Vector to 0.
|
Constructors
| Icon | Type | Description |
|---|---|---|
| VectorNew(Int32) |
Constructs a new Vector with the specified
number of components.
|
| VectorNew(SerializationInfo, StreamingContext) |
Constructs a new Vector from serialization
data.
|
Properties
| Icon | Type | Description |
|---|---|---|
 | Item(Int32) |
Gets or sets a specific component of this vector.
|
| Item(Range) |
Gets or sets a range of components of the Vector.
|
| Length |
Gets the number of elements in the Vector.
|
Remarks
The Vector class represents a one-dimensional
array of double precision floating-point numbers.
The Vector class provides methods and properties for all the common operations on vectors, including Norm(), DotProduct(Vector), 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 staticSharedstatic methods are supplied.
To allow for greater efficiency, overloaded instance methods are available for many compound operations on vectors.
Inheritance Hierarchy
