PHP Class MathPHP\NumericalAnalysis\Interpolation\NevillesMethod
In numerical analysis, Nevilles Method is an interpolation technique that
uses Lagrange polynomials of lower powers recursively in order to compute
Lagrange polynomials of higher powers.
Nevilles Method belongs to a collection of techniques that interpolate a
function or a set of values to approximate a function at a target point.
We can either directly supply a set of inputs and their corresponding outputs
for said function, or if we explicitly know the function, we can define it as
a callback function and then generate a set of points by evaluating that
function at n points between a start and end point. We then use these values
to interpolate Lagrange polynomials recursively at our target point.
http://www2.math.ou.edu/~npetrov/neville.pdf
Show file
Open project: markrogoyski/math-php
Public Methods
Method Details
interpolate()
public static method
|
public static interpolate ( $target, $source, $args ) : number |
|
$target |
|
The point at which we are interpolation |
|
$source |
|
The source of our approximation. Should be either
a callback function or a set of arrays. Each array
(point) contains precisely two numbers, an x and y.
Example array: [[1,2], [2,3], [3,4]].
Example callback: function($x) {return $x**2;} |
| return |
number |
The interpolated value at our target |
