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