polintmat {fda}

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 xa, second dimension length equal number of basis functions, and third dimension of length 1.

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 ya.

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.

See Also

monfn, mongrad, monhess