|
Student[NumericalAnalysis][ApproximateValue] - return specific approximate value(s) of the interpolating polynomial
|
|
Calling Sequence
|
|
ApproximateValue(p)
ApproximateValue(p, pts)
|
|
|
Parameters
|
|
|
p
|
-
|
a POLYINTERP structure
|
|
pts
|
-
|
(optional) numeric, list(numeric); a point or list of points at which the value of the approximating polynomial is to be computed
|
|
|
|
|
|
Description
|
|
|
•
|
The ApproximateValue command computes the value(s) of the approximated polynomial at specified point(s) pts or at the extrapolated point(s) from the POLYINTERP structure, depending on whether pts is specified or not.
|
|
|
|
Examples
|
|
|
>
|
![with(Student[NumericalAnalysis])](/support/helpjp/helpview.aspx?si=4308/file05063/math99.png)
|
|
>
|
![xy := [[1.0, .7651977], [1.3, .6200860], [1.6, .4554022], [1.9, .2818186]]](/support/helpjp/helpview.aspx?si=4308/file05063/math103.png)
|
|
![xy := [[1.0, .7651977], [1.3, .6200860], [1.6, .4554022], [1.9, .2818186]]](/support/helpjp/helpview.aspx?si=4308/file05063/math106.png)
| (1) |
|
>
|
![p1 := PolynomialInterpolation(xy, method = neville, extrapolate = [1.5])](/support/helpjp/helpview.aspx?si=4308/file05063/math110.png)
|
|
>
|
|
|
![[[1.5, .5118126939]]](/support/helpjp/helpview.aspx?si=4308/file05063/math117.png)
| (2) |
|
>
|
![ApproximateValue(p1, [1.7, 1.8])](/support/helpjp/helpview.aspx?si=4308/file05063/math121.png)
|
|
![[[1.7, .3980028398], [1.8, .3400098828]]](/support/helpjp/helpview.aspx?si=4308/file05063/math124.png)
| (3) |
|
>
|
![xyy := [[0, 1], [1/2, 1], [1, 11/10], [3/2, 3/4], [2, 7/8], [5/2, 9/10], [3, 11/10], [7/2, 1]]](/support/helpjp/helpview.aspx?si=4308/file05063/math128.png)
|
|
![xyy := [[0, 1], [1/2, 1], [1, 11/10], [3/2, 3/4], [2, 7/8], [5/2, 9/10], [3, 11/10], [7/2, 1]]](/support/helpjp/helpview.aspx?si=4308/file05063/math131.png)
| (4) |
|
>
|
|
|
>
|
|
|
![[[1.3, .8776545517]]](/support/helpjp/helpview.aspx?si=4308/file05063/math142.png)
| (5) |
|
|
Download Help Document
Was this information helpful?
