Neville |
Lagrange Polynomial Interpolation using Neville's Algorithm.
Inheritance HierarchyNamespace: Altaxo.Calc.Interpolation
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
SyntaxC#
public class NevillePolynomialInterpolation : IInterpolation
The NevillePolynomialInterpolation type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | NevillePolynomialInterpolation | Initializes a new instance of the NevillePolynomialInterpolation class |
Methods| Name | Description | |
|---|---|---|
| Differentiate | Differentiate at point t. |
| Differentiate2 | Differentiate twice at point t. |
| Equals | Determines whether the specified object is equal to the current object. (Inherited from Object) |
 | Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object) |
| GetHashCode | Serves as the default hash function. (Inherited from Object) |
| GetType | Gets the Type of the current instance. (Inherited from Object) |
| Interpolate(Double) | Interpolate at point t. |
 | Interpolate(IEnumerableDouble, IEnumerableDouble) | Create a Neville polynomial interpolation from an unsorted set of (x,y) value pairs. |
| InterpolateInplace | Create a Neville polynomial interpolation from an unsorted set of (x,y) value pairs. WARNING: Works in-place and can thus causes the data array to be reordered. |
| InterpolateSorted | Create a Neville polynomial interpolation from a set of (x,y) value pairs, sorted ascendingly by x. |
| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object) |
| ToString | Returns a string that represents the current object. (Inherited from Object) |
RemarksThis algorithm supports differentiation, but doesn't support integration.
When working with equidistant or Chebyshev sample points it is recommended to use the barycentric algorithms specialized for these cases instead of this arbitrary Neville algorithm.
See Also