PolynomialLeastSquares Class

Class PolynomialLeastSquares performs a least squares fit of a polynomial to the data.

Inheritance Hierarchy

SystemObject
CenterSpace.NMath.CorePolynomialLeastSquares

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4

Syntax

public class PolynomialLeastSquares : ICloneable

Public Class PolynomialLeastSquares
	Implements ICloneable

public ref class PolynomialLeastSquares : ICloneable

type PolynomialLeastSquares = 
    class
        interface ICloneable
    end

The PolynomialLeastSquares type exposes the following members.

Constructors

	Name	Description
	PolynomialLeastSquares(Int32, DoubleVector, DoubleVector)	Constructs a PolynomialLeastSquares instances that fits the given data.
	PolynomialLeastSquares(Int32, DoubleVector, DoubleVector, Boolean)	Constructs a PolynomialLeastSquares instances that fits the given data.
	PolynomialLeastSquares(Int32, DoubleVector, DoubleVector, Double)	Constructs a PolynomialLeastSquares instances that fits the given data.
	PolynomialLeastSquares(Int32, DoubleVector, DoubleVector, Boolean, Double)	Constructs a PolynomialLeastSquares instances that fits the given data.

Properties

	Name	Description
	Coefficients	Gets the coeffients of the fitted polynomial.
	Degree	Gets the degree of the fitted polynomial.
	DesignMatrix	Gets the design matrix for the fit.
	FittedPolynomial	Gets the fitted polynomial.
	LeastSquaresSolution	Gets the least squares object used to compute the coefficients.

Methods

	Name	Description
	Clone	Creates a deep copy of this polynomial least squares.
	CoeffErrorEstimate	Returns error estimates for the coefficients based on the estimated error in the y values.

Remarks

Solves the equation y = Xa using least squares, where X is the Vandermonde matrix. X[i,j] = xi ^ j. y is the y data.