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Student[NumericalAnalysis]

  

NevilleTable

  

compute the Neville table of an interpolation structure

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

NevilleTable(p)

NevilleTable(p, pt)

Parameters

p

-

a POLYINTERP structure

pt

-

(optional) numeric, name; a point to evaluate the Neville table at or a name to assign to the independent variable in the Neville table

Description

• 

The NevilleTable command computes the Neville table of an interpolation structure created using the Neville interpolation method.

• 

The POLYINTERP structure is created using the PolynomialInterpolation command.

• 

Only POLYINTERP structures that were created using the Neville interpolation method are valid to use with this command.

• 

If the parameter pt is not specified, the general unevaluated Neville table will be returned with the independent variable from when the POLYINTERP structure was computed.

Examples

withStudent[NumericalAnalysis]:

xy1.0,0.7651977,1.3,0.6200860,1.6,0.4554022,1.9,0.2818186

xy:=1.0,0.7651977,1.3,0.6200860,1.6,0.4554022,1.9,0.2818186

(1)

p1PolynomialInterpolationxy,method=neville,extrapolate=1.5:

NevilleTablep1,1.5

0.76519770000.62008600.5233448671000.45540220.51029680020.512471478100.28181860.51326340020.51128566690.5118126939

(2)

NevilleTablep1,1.8

0.76519770000.62008600.3782331671000.45540220.34561300020.334739611400.28181860.3396798000.34066866680.3400098828

(3)

See Also

Student[NumericalAnalysis]

Student[NumericalAnalysis][ApproximateValue]

Student[NumericalAnalysis][ComputationOverview]

Student[NumericalAnalysis][Draw]

Student[NumericalAnalysis][ExactValue]

Student[NumericalAnalysis][Interpolant]

Student[NumericalAnalysis][PolynomialInterpolation]

Student[NumericalAnalysis][RemainderTerm]

 


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