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\name{sparseLU-class}\docType{class}\alias{sparseLU-class}\title{Sparse LU decomposition of a square sparse matrix}\description{Objects of this class contain the components of the LUdecomposition of a sparse square matrix.}\section{Objects from the Class}{Objects can be created by calls of the form \code{new("sparseLU",...)} but are more commonly created by function \code{\link{lu}}applied to a sparse matrix, such as a matrix of class\code{\linkS4class{dgCMatrix}}.}}\section{Slots}{\describe{\item{\code{L}:}{Object of class \code{"dgCMatrix"} The lowertriangular factor from the left.}\item{\code{U}:}{Object of class \code{"dgCMatrix"} The uppertriangular factor }\item{\code{p}:}{Object of class \code{"integer"} Permutationapplied from the left. }\item{\code{q}:}{Object of class \code{"integer"} Permutationapplied from the right.}}}\section{Methods}{No methods defined with class "sparseLU" in the signature.}%\references{}%\author{}\note{The decomposition is of the form\deqn{A = PLUQ}{A = PLUQ}where all matrices are sparse and of size \eqn{n\times n}{n by n}.The matrices \eqn{P} and \eqn{Q} are permutation matrices, \eqn{L} islower triangular and \eqn{U} is upper triangular.}\seealso{\code{\link{lu}}, \code{\link[base]{solve}}, \code{\linkS4class{dgCMatrix}}}\examples{}\keyword{classes}