Polynomial Basis Class
Represents a FunctionBasis for the polynomials
up to a specified degree.
Definition
Namespace: Extreme.Mathematics.Curves
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23
C#
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23
[SerializableAttribute]
public class PolynomialBasis : FunctionBasis
- Inheritance
- Object → FunctionBasis → PolynomialBasis
Remarks
Use a PolynomialBasis object to represent a basis for the polynomials. Only in rare cases will it be necessary to construct a PolynomialBasis, as most functionality is available through the Polynomial class.
The basis functions of a PolynomialBasis are the monomials of degree 0 up to and including the specified degree.
The Chebyshev polynomials form an alternate basis for the polynomials and have many desirable numerical properties.
Constructors
Polynomial | Constructs a new GeneralFunctionBasis from an array of function of one variable delegates. |
Properties
Item |
Gets an element of the collection as a
function of one variable.
(Overrides FunctionBasis.Item[Int32]) |
Length |
Gets the number of items in this FunctionBasis.
(Inherited from FunctionBasis) |
Methods
Derivatives |
Evaluates the derivatives of the member functions of this
FunctionBasis at a specified value.
(Inherited from FunctionBasis) |
Equals | Determines whether the specified object is equal to the current object. (Inherited from Object) |
Fill |
Fills a vector with the derivatives of the
member functions at a specified value.
(Overrides FunctionBasis.FillDerivatives(Double, DenseVector<Double>)) |
Fill |
Fills the rows of a DenseMatrix<T> with the values
of the member functions of a FunctionBasis evaluated for each element
in a Vector.
(Inherited from FunctionBasis) |
Fill |
Fills a dense vector with the values of the
member functions at a specified value.
(Overrides FunctionBasis.FillValues(Double, DenseVector<Double>)) |
Fill |
Fills the rows of a DenseMatrix<T> with the values
of the member functions of a FunctionBasis evaluated for each element
in a Vector.
(Inherited from FunctionBasis) |
Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object) |
Get |
Constructs a new LinearCombination from
the functions in this instance.
(Inherited from FunctionBasis) Obsolete. |
Get |
Constructs a new Polynomial with the
specified coefficients.
(Overrides FunctionBasis.GetFunction(Vector<Double>)) |
Get | Serves as the default hash function. (Inherited from Object) |
Get | Gets the Type of the current instance. (Inherited from Object) |
Least |
Gets the least squares fit of target data in terms of
the components of the FunctionBasis.
(Inherited from FunctionBasis) |
Least |
Gets the least squares fit of target data in terms of
the components of the FunctionBasis.
(Inherited from FunctionBasis) |
Least |
Gets the least squares fit of target data in terms of
the components of the FunctionBasis.
(Inherited from FunctionBasis) |
Least |
Gets the least squares fit of target data in terms of
the components of the FunctionBasis.
(Inherited from FunctionBasis) |
Memberwise | Creates a shallow copy of the current Object. (Inherited from Object) |
ToString | Returns a string that represents the current object. (Inherited from Object) |
Values |
Evaluates the member functions of this
FunctionBasis at a specified value.
(Inherited from FunctionBasis) |