Polynomial2 {assist} | R Documentation |
Calculate Reproducing Kernels for Polynomial Splines on [0, T]
Description
Return a matrix evaluating reproducing kernels for polynomial splines at observed points.
Usage
linear2(s, t=s)
cubic2(s, t=s)
quintic2(s, t=s)
septic2(s, t=s)
Arguments
s |
a vector of non-negative values, at which the kernels are evaluated. |
t |
an optional non-negative vector. Default is the same as s. |
Details
The reproducing kernels implemented in these functions are based on Green functions. The domain is [0, T], where T is a given positive number.
Value
a matrix with the numbers of row and column equal to the length of s and t respectively. The [i, j] element is the reproducing kernel of linear, cubic, quintic, or septic spline evaluated at (s[i], t[j]).
Author(s)
Chunlei Ke chunlei_ke@yahoo.com and Yuedong Wang yuedong@pstat.ucsb.edu
References
Wahba, G. (1990). Spline Models for Observational Data. SIAM, Vol. 59.
See Also
ssr
, linear
, cubic
,
quintic
, septic
Examples
## Not run:
x<- seq(0, 5, len=10)
linear2(x)
## End(Not run)
[Package assist version 3.1.9 Index]