polintmat {fda} | R Documentation |
Polynomial extrapolation for a converging sequence of one or more values
Description
For each value in a set xa
, estimates the converged value. The process
is called Richardson extrapolation. It terminates when all of two successive
estimates are within a tolerance of each other.
Usage
polintmat(xa, ya, x)
Arguments
xa |
Vector of length equal to the maximum number of iterations. |
ya |
Array with first dimension number of rows equal to length of |
x |
A scalar value which, in our applications, is always zero. |
Details
This function is called with in functions monfn
, mongrad
and
monhess
. This function computes the estimate for a single iteration
of the convergence iterations.
Value
A un-named list of length two containing these objects:
y: |
Matrix of order number of argument values by number of basis functions. |
dy: |
Array with same dimensions as argument |
Author(s)
J. O. Ramsay
References
Ramsay, James O., Hooker, Giles, and Graves, Spencer (2009), Functional data analysis with R and Matlab, Springer, New York.
Ramsay, James O., and Silverman, Bernard W. (2005), Functional Data Analysis, 2nd ed., Springer, New York.
Ramsay, James O., and Silverman, Bernard W. (2002), Applied Functional Data Analysis, Springer, New York.