MultiVariableFunctionFitterMFit Method

Fits a function to the specified points.

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

Syntax

public DoubleVector Fit(
	DoubleMatrix xValues,
	DoubleVector yValues,
	DoubleVector initialParameters
)

Public Function Fit ( 
	xValues As DoubleMatrix,
	yValues As DoubleVector,
	initialParameters As DoubleVector
) As DoubleVector

public:
DoubleVector^ Fit(
	DoubleMatrix^ xValues, 
	DoubleVector^ yValues, 
	DoubleVector^ initialParameters
)

member Fit : 
        xValues : DoubleMatrix * 
        yValues : DoubleVector * 
        initialParameters : DoubleVector -> DoubleVector

Parameters

xValues DoubleMatrix: parameters values of the points to fit. Each row in the matrix is an x-value of the points to fit.
yValues DoubleVector: yValues values of the points to fit.
initialParameters DoubleVector: The starting function parameters.

Return Value

DoubleVector
The parameters of the function at the minimum.

Exceptions

Exception	Condition
InvalidArgumentException	Thrown if the vectors of parameters and yValues values have different lengths, or if the number of points is not greater than or equal to the number of function parameters.

Remarks

In the space of the function parameters, begining at the specified starting point (initialParameters), finds a minimum (possibly local) with respect to the sum of the squared residuals, where residuals[i] = ( yValues[i] - f( currentParameters, xValues[i] )^2. You must supply at least as many points to fit as your function has parameters.
Note that problems can have multiple local minima. Trying different initial points is recommended for better solutions.

Reference

MultiVariableFunctionFitterM Class

CenterSpace.NMath.Core Namespace