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\name{kappa}
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\name{kappa}
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\title{Estimate the Condition Number}
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\title{Estimate the Condition Number}
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\usage{
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\usage{
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kappa(z, \dots)
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kappa(z, \dots)
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kappa.lm     (z, \dots)
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\method{kappa}{lm}(z, \dots)
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kappa.default(z, exact = FALSE, \dots)
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\method{kappa}{default}(z, exact = FALSE, \dots)
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kappa.qr     (z, \dots)
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\method{kappa}{qr}(z, \dots)
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kappa.tri    (z, exact = FALSE, \dots)
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kappa.tri(z, exact = FALSE, \dots)
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}
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}
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\alias{kappa}
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\alias{kappa}
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\alias{kappa.default}
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\alias{kappa.default}
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\alias{kappa.lm}
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\alias{kappa.lm}
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\alias{kappa.qr}
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\alias{kappa.qr}
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\details{
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\details{
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 If \code{exact = FALSE} (the default) the condition number is estimated
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 If \code{exact = FALSE} (the default) the condition number is estimated
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 by a cheap approximation. Following S, this uses the LINPACK routine
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 by a cheap approximation. Following S, this uses the LINPACK routine
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 \file{dtrco.f}.  However, in \R (or S) the exact calculation is also
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 \file{dtrco.f}.  However, in \R (or S) the exact calculation is also
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 likely to be quick enough.
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 likely to be quick enough.
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 \code{kappa.tri} is an internal function called by \code{kappa.qr}.
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}
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}
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\value{
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\value{
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  The condition number, \eqn{kappa}, or an approximation if
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  The condition number, \eqn{kappa}, or an approximation if
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  \code{exact=FALSE}.
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  \code{exact = FALSE}.
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}
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}
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\references{
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\references{
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  Chambers, J. M. (1992)
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  Chambers, J. M. (1992)
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  \emph{Linear models.}
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  \emph{Linear models.}
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  Chapter 4 of \emph{Statistical Models in S}
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  Chapter 4 of \emph{Statistical Models in S}