\HeaderA{Hilbert}{Generate a Hilbert matrix}{Hilbert}
\keyword{array}{Hilbert}
\keyword{algebra}{Hilbert}
\begin{Description}\relax
Generate the \code{n} by \code{n} symmetric Hilbert matrix.  Because
these matrices are ill-conditioned for moderate to large \code{n},
they are often used for testing numerical linear algebra code.
\end{Description}
\begin{Usage}
\begin{verbatim}
Hilbert(n)
\end{verbatim}
\end{Usage}
\begin{Arguments}
\begin{ldescription}
\item[\code{n}] a non-negative integer.
\end{ldescription}
\end{Arguments}
\begin{Value}
the \code{n} by \code{n} symmetric Hilbert matrix as a
\code{"dpoMatrix"} object.
\end{Value}
\begin{SeeAlso}\relax
the class \code{\LinkA{dpoMatrix}{dpoMatrix.Rdash.class}}
\end{SeeAlso}
\begin{Examples}
\begin{ExampleCode}
Hilbert(6)
\end{ExampleCode}
\end{Examples}

