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Student[NumericalAnalysis][NevilleTable] - compute the Neville table of an interpolation structure
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Calling Sequence
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NevilleTable(p)
NevilleTable(p, pt)
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Parameters
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p
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a POLYINTERP structure
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pt
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(optional) numeric, name; a point to evaluate the Neville table at or a name to assign to the independent variable in the Neville table
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Description
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The NevilleTable command computes the Neville table of an interpolation structure created using the Neville interpolation method.
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Only POLYINTERP structures that were created using the Neville interpolation method are valid to use with this command.
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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.
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Examples
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![with(Student[NumericalAnalysis])](/support/helpjp/helpview.aspx?si=4317/file05097/math87.png)
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![xy := [[1.0, .7651977], [1.3, .6200860], [1.6, .4554022], [1.9, .2818186]]](/support/helpjp/helpview.aspx?si=4317/file05097/math91.png)
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![xy := [[1.0, .7651977], [1.3, .6200860], [1.6, .4554022], [1.9, .2818186]]](/support/helpjp/helpview.aspx?si=4317/file05097/math94.png)
| (1) |
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![p1 := PolynomialInterpolation(xy, method = neville, extrapolate = [1.5])](/support/helpjp/helpview.aspx?si=4317/file05097/math98.png)
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![Matrix([[.7651977, 0, 0, 0], [.6200860, .5233448671, 0, 0], [.4554022, .5102968002, .5124714781, 0], [.2818186, .5132634002, .5112856669, .5118126939]])](/support/helpjp/helpview.aspx?si=4317/file05097/math105.png)
| (2) |
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![Matrix([[.7651977, 0, 0, 0], [.6200860, .3782331671, 0, 0], [.4554022, .3456130002, .3347396114, 0], [.2818186, .339679800, .3406686668, .3400098828]])](/support/helpjp/helpview.aspx?si=4317/file05097/math112.png)
| (3) |
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