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man/polintmat.Rd

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\name{polintmat}
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\alias{polintmat}
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\title{
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Polynomial extrapolation for a converging sequence of one or more values}
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\description{
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For each value in a set \code{xa}, estimates the converged value. The process
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is called Richardson extrapolation. It terminates when all of two successive
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estimates are within a tolerance of each other.
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}
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\usage{
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polintmat(xa, ya, x)
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}
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\arguments{
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\item{xa}{Vector of length equal to the maximum number of iterations.}
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\item{ya}{Array with first dimension number of rows equal to length of \code{xa},
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second dimension length equal number of basis functions, and
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third dimension of length 1.}
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\item{x}{A scalar value which, in our applications, is always zero.}
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}
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\details{
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This function is called with in functions \code{monfn}, \code{mongrad} and
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\code{monhess}. This function computes the estimate for a single iteration
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of the convergence iterations.
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}
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\value{
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A un-named list of length two containing these objects:
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\item{y:}{Matrix of order number of argument values by number of basis
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functions.}
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\item{dy:}{Array with same dimensions as argument \code{ya}.}
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}
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\references{
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Ramsay, James O., Hooker, G. and Graves, S. (2009), \emph{Functional
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Data Analysis with R and Matlab}, Springer, New York.
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Ramsay, James O., and Silverman,
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Bernard W. (2005), \emph{Functional
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Data Analysis, 2nd ed.}, Springer, New York.
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Ramsay, James O., and Silverman,
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Bernard W. (2002), \emph{Applied
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Functional Data Analysis}, Springer, New York.
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}
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\author{
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J. O. Ramsay
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}
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\seealso{
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\code{\link{monfn}},
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\code{\link{mongrad}},
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\code{\link{monhess}}
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}

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