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\name{backsolve}\title{Solve an Upper Triangular System}\usage{backsolve(r, x, k=ncol(r))}\alias{backsolve}\arguments{\item{r}{an upper triangular matrix giving the coefficients forthe system to be solved. Values below the diagonal are ignored.}\item{x}{a matrix whose columns give ``right-hand sides'' for the equations.}\item{k}{The number or columns of \code{r} and rows of \code{x} to use.}}\value{The solution of the triangular system. The result will be aa vector if \code{x} is a vector and a matrix if \code{x} is a matrix.}\references{Dongarra, J. J., J. R. Bunch, C. B. Moler and G. W. Stewart (1978).\emph{LINPACK Users Guide}. Philadelphia: SIAM Publications.}\seealso{\code{\link{chol}},\code{\link{qr}},\code{\link{solve}}.}\examples{# no examples yet}