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View of /pkg/man/dsyMatrix-class.Rd

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Revision 925 - (download) (as text) (annotate)
Mon Sep 19 19:01:31 2005 UTC (14 years ago) by maechler
File size: 4626 byte(s)
too many changes: rbind2 for dM*, cbind2(), "Math", "Arith" for sparse ones; more  "s/gTMatrix/TsparseMatrix/" fixes; quite a few more tests, incl some for *all* classes
\title{Symmetric, dense matrices}
  The \code{"dsyMatrix"} class is the class of symmetric, dense matrices
  in non-packed storage and \code{"dspMatrix"} is the class of symmetric
  dense matrices in packed storage.  Only the upper triangle or the
  lower triangle is stored.
\section{Objects from the Class}{
  Objects can be created by calls of the form \code{new("dsyMatrix", ...)}.
    \item{\code{uplo}:}{Object of class \code{"character"}. Must be
      either "U", for upper triangular, and "L", for lower triangular.}
    \item{\code{x}:}{Object of class \code{"numeric"}. The numeric
      values that constitute the matrix, stored in column-major order.}
    \item{\code{Dim},\code{Dimnames}:}{The dimension (a length-2
      \code{"integer"}) and corresponding names (or \code{NULL}), see the
    \item{\code{rcond}:}{Object of class \code{"numeric"}. A named
      numeric vector of reciprocal condition numbers in either the
      1-norm \code{"O"} or the infinity norm \code{"I"}.}
    \item{\code{factors}:}{Object of class \code{"list"}.  A named
      list of factorizations that have been computed for the matrix.}
Class \code{"dgeMatrix"}, directly.
Class \code{"symmetricMatrix"}, directly.
Class \code{"Matrix"} and others, by class \code{"dgeMatrix"}.
    \item{coerce}{\code{signature(from = "dspMatrix", to = "dgeMatrix")}}
    \item{coerce}{\code{signature(from = "dsyMatrix", to = "dgeMatrix")}}
    \item{coerce}{\code{signature(from = "dspMatrix", to = "matrix")}}
    \item{coerce}{\code{signature(from = "dsyMatrix", to = "matrix")}}
    \item{coerce}{\code{signature(from = "dsyMatrix", to = "dspMatrix")}}
    \item{coerce}{\code{signature(from = "dspMatrix", to = "dsyMatrix")}}
    \item{norm}{\code{signature(x = "dspMatrix", type = "character")}}
    \item{norm}{\code{signature(x = "dsyMatrix", type = "character")}}
    \item{norm}{\code{signature(x = "dspMatrix", type = "missing")}}
    \item{norm}{\code{signature(x = "dsyMatrix", type = "missing")}}
    \item{solve}{\code{signature(a = "dspMatrix", b = "missing")}}
    \item{solve}{\code{signature(a = "dsyMatrix", b = "missing")}}
    \item{solve}{\code{signature(a = "dspMatrix", b = "dgeMatrix")}}
    \item{solve}{\code{signature(a = "dsyMatrix", b = "dgeMatrix")}}
    \item{solve}{\code{signature(a = "dspMatrix", b = "matrix")}}
    \item{solve}{\code{signature(a = "dsyMatrix", b = "matrix")}}
  \code{\link{dgeMatrix-class}}, \code{\link{Matrix-class}},
  \code{\link[base]{solve}}, \code{\link{norm}}, \code{\link{rcond}},
## Only upper triangular part matters (when uplo == "U" as per default)
(sy2 <- new("dsyMatrix", Dim = as.integer(c(2,2)), x = c(14, NA,32,77)))
(c2 <- chol(sy2))
all.equal(c2, c2. <- chol(as(sy2, "dpoMatrix")))# equal, but not same class

## An example where chol() can't work
(sy3 <- new("dsyMatrix", Dim = as.integer(c(2,2)), x = c(14, -1, 2, -7)))

validObject(as(sy3, "dpoMatrix"), test=TRUE) # >> is not pos.def.
% .... Lapack routine dpotrf returned error code 2 -- FIXME: better message
try(chol(sy3)) ## Error: not pos.def
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