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elpa/ess-20180524.1000/etc/chol2inv-ex.Rd
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elpa/ess-20180524.1000/etc/chol2inv-ex.Rd
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\title{chol2inv}
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\name{chol2inv-methods}
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\description{
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Invert a symmetric, positive definite square matrix from its Choleski
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decomposition. Equivalently, compute \eqn{(X'X)^{-1}}{(X'X)^(-1)}
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from the (\eqn{R} part) of the QR decomposition of \eqn{X}.
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}
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\seealso{
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\code{\link[base]{chol2inv}} (from the \pkg{base} package),
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\code{\link{solve}}.
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}
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%%-- In Rd preview (after C-c C-p), "se" ([s]kip to [e]xamples):
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%%-- "l" works at the 1st line, but does not go further from the 2nd
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\examples{
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(M <- cbind(1, 1:3, c(1,3,7)))
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(cM <- chol(M)) # a "Cholesky" object...
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chol2inv(cM) \%*\% M # the identity
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stopifnot(all(chol2inv(cM) \%*\% M - Diagonal(nrow(M))) < 1e-10)
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}
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\keyword{algebra}
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