newtonInterp {pracma} | R Documentation |
Lagrange and Newtons Interpolation
Description
Lagrange's and Newton's method of polynomial interpolation.
Usage
newtonInterp(x, y, xs = c())
lagrangeInterp(x, y, xs)
Arguments
x , y |
x-, y-coordinates of data points defining the polynomial. |
xs |
either empty, or a vector of points to be interpolated. |
Details
Straightforward implementation of Lagrange's Newton's method
(vectorized in xs
).
Value
A vector of values at xs
of the polynomial defined by x,y
.
References
Each textbook on numerical analysis.
See Also
Examples
p <- Poly(c(1, 2, 3))
fp <- function(x) polyval(p, x)
x <- 0:4; y <- fp(x)
xx <- linspace(0, 4, 51)
yy <- lagrangeInterp(x, y, xx)
yy <- newtonInterp(x, y, xx)
## Not run:
ezplot(fp, 0, 4)
points(xx, yy)
## End(Not run)
[Package pracma version 2.4.4 Index]