Revision bfc623dd645245240f395e6fa3af15d260d380c5 authored by Douglas Bates on 15 August 2006, 00:00:00 UTC, committed by Gabor Csardi on 15 August 2006, 00:00:00 UTC
1 parent 40bc650
norm.Rd
\name{norm}
\alias{norm}
\title{
Norm of a Matrix
}
\usage{norm(x, type, \dots) }
\description{
Computes a matrix norm of \code{x} using Lapack. The norm can be
the one norm, the infinity norm, the Frobenius norm, or the maximum
modulus among elements of a matrix, as determined by the value of
\code{type}.
}
\arguments{
\item{x}{
a real or complex matrix.
}
\item{type}{
A character indicating the type of norm desired.
\code{"O"} or \code{"o"} or \code{"1"} specifies the one norm,
(maximum absolute column sum);
\code{"I"} or \code{"i"} specifies the infinity norm (maximum
absolute row sum);
\code{"F"} or \code{"f"} specifies the Frobenius norm (the
Euclidean norm of \code{x} treated as if it were a vector);
and \code{"M"} or \code{"m"} specifies the maximum modulus of
all the elements in \code{x}. The default is \code{"O"}.
Only the first character of \code{type[1]} is used.
}
\item{\dots}{further arguments passed to or from other methods.}
}
\value{
A numeric value of class \code{"norm"}, representing the quantity
chosen according to \code{type}.
}
\details{
Based on the Lapack functions \code{dlange}, \code{dlansy}, \code{dlantr},
\code{zlange}, \code{zlansy}, and \code{zlantr}.
}
\references{
Anderson, E., et al. (1994).
\emph{LAPACK User's Guide,}
2nd edition, SIAM, Philadelphia.
}
\examples{
x <- Hilbert(9)
norm(x, "1")
norm(x, "I")
norm(x, "F")
norm(x, "M")
}
\keyword{algebra}
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