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% Generated by roxygen2: do not edit by hand% Please edit documentation in R/mgcvExports.R\name{mini.roots}\alias{mini.roots}\title{Obtain square roots of penalty matrices}\usage{mini.roots(S, off, np, rank = NULL)}\arguments{\item{S}{a list of penalty matrices, in packed form.}\item{off}{a vector where the i-th element is the offset for the i-th matrix.The elements in columns \code{1:off[i]} of \code{B[[i]]} will be equal to zero.}\item{np}{total number of parameters.}\item{rank}{here \code{rank[i]} is optional supplied rank of \code{S[[i]]}. Set \code{rank[i] < 1}, or\code{rank=NULL} to estimate.}}\value{A list of matrix square roots such that \code{S[[i]]=B[[i]]\%*\%t(B[[i]])}.}\description{INTERNAL function to obtain square roots, \code{B[[i]]}, of the penalty matrices \code{S[[i]]}'s having as fewcolumns as possible.}\author{Simon N. Wood <simon.wood@r-project.org>.}