|
Student[NumericalAnalysis][BasisFunctions] - return a list of the basis functions from a POLYINTERP structure
|
|
Calling Sequence
|
|
BasisFunctions(p)
BasisFunctions(p, indvar)
|
|
|
Parameters
|
|
|
p
|
-
|
a POLYINTERP structure
|
|
invar
|
-
|
(optional) name; the name to assign to the independent variable in the basis functions that are returned
|
|
|
|
|
|
Description
|
|
|
•
|
The BasisFunctions routine retrieves the basis functions from a POLYINTERP structure.
|
|
•
|
Only POLYINTERP structures that contain data points that have been interpolated using the Lagrange, Newton or Hermite methods can use the BasisFunctions command.
|
|
|
|
Examples
|
|
|
>
|
![with(Student[NumericalAnalysis])](/support/helpjp/helpview.aspx?si=4310/file05065/math85.png)
|
|
>
|
![xy := [[0, 4.0], [.5, 0], [1.0, -2.0], [1.5, 0], [2.0, 1.0], [2.5, 0], [3.0, -.5]]](/support/helpjp/helpview.aspx?si=4310/file05065/math89.png)
|
|
![xy := [[0, 4.0], [.5, 0], [1.0, -2.0], [1.5, 0], [2.0, 1.0], [2.5, 0], [3.0, -.5]]](/support/helpjp/helpview.aspx?si=4310/file05065/math92.png)
| (1) |
|
>
|
|
|
>
|
|
|
![[0.8888888889e-1*(x-.5)*(x-1.0)*(x-1.5)*(x-2.0)*(x-2.5)*(x-3.0), -.5333333333*x*(x-1.0)*(x-1.5)*(x-2.0)*(x-2.5)*(x-3.0), 1.333333333*x*(x-.5)*(x-1.5)*(x-2.0)*(x-2.5)*(x-3.0), -1.777777778*x*(x-.5)*(x-1.0)*(x-2.0)*(x-2.5)*(x-3.0), 1.333333333*x*(x-.5)*(x-1.0)*(x-1.5)*(x-2.5)*(x-3.0), -.5333333333*x*(x-.5)*(x-1.0)*(x-1.5)*(x-2.0)*(x-3.0), 0.8888888889e-1*x*(x-.5)*(x-1.0)*(x-1.5)*(x-2.0)*(x-2.5)]](/support/helpjp/helpview.aspx?si=4310/file05065/math103.png)
| (2) |
|
>
|
![Draw(p1, objects = [BasisFunctions])](/support/helpjp/helpview.aspx?si=4310/file05065/math107.png)
|
|
>
|
![xyyp := [[1, 1.105170918, .2210341836], [1.5, 1.252322716, .3756968148], [2, 1.491824698, .5967298792]]](/support/helpjp/helpview.aspx?si=4310/file05065/math116.png)
|
|
![xyyp := [[1, 1.105170918, .2210341836], [1.5, 1.252322716, .3756968148], [2, 1.491824698, .5967298792]]](/support/helpjp/helpview.aspx?si=4310/file05065/math119.png)
| (3) |
|
>
|
|
|
>
|
|
|
![[1, x-1., (x-1.)^2, (x-1.)^2*(x-1.5), (x-1.)^2*(x-1.5)^2, (x-1.)^2*(x-1.5)^2*(x-2.)]](/support/helpjp/helpview.aspx?si=4310/file05065/math130.png)
| (4) |
|
|
Download Help Document
Was this information helpful?
