symmetricMatrix-class function

Virtual Class of Symmetric Matrices in Package Matrix

The virtual class of symmetric matrices, "symmetricMatrix", from the package Matrix contains numeric and logical, dense and sparse matrices, e.g., see the examples with the actual

subclasses.

The main use is in methods (and C functions) that can deal with all symmetric matrices, and in as(*, "symmetricMatrix").

class

Slots

• Dim, Dimnames: inherited from virtual class Matrix. See comments below about symmetry of Dimnames.
• factors: a list of MatrixFactorization objects caching factorizations of the matrix. Typically, it is initialized as an empty list and updated automagically whenever a factorization is computed.
• uplo: a character string, either "U" or "L" indicating that only entries in the upper or lower triangle are referenced.

Extends

Class "Matrix", directly.

Methods

• dimnames: signature(object = "symmetricMatrix"): returns symmetric dimnames, even when the Dimnames slot only has row or column names. This allows to save storage for large (typically sparse) symmetric matrices.
• isSymmetric: signature(object = "symmetricMatrix"): returns TRUE trivially.

There's a C function symmetricMatrix_validate()

called by the internal validity checking functions, and also from getValidity(getClass("symmetricMatrix")).

Validity and dimnames

The validity checks do not require a symmetric Dimnames slot, so it can be list(NULL, <character>), e.g., for efficiency. However, dimnames() and other functions and methods should behave as if the dimnames were symmetric, i.e., with both list components identical.

See Also

isSymmetric which has efficient methods (isSymmetric-methods ) for the Matrix classes. Classes triangularMatrix, and, e.g., dsyMatrix for numeric dense matrices, or lsCMatrix for a logical sparse matrix class.

Examples

## An example about the symmetric Dimnames:
sy <- sparseMatrix(i= c(2,4,3:5), j= c(4,7:5,5), x = 1:5, dims = c(7,7),
                   symmetric=TRUE, dimnames = list(NULL, letters[1:7]))
sy # shows symmetrical dimnames
sy@Dimnames  # internally only one part is stored
dimnames(sy) # both parts - as sy *is* symmetrical

showClass("symmetricMatrix")

## The names of direct subclasses:
scl <- getClass("symmetricMatrix")@subclasses
directly <- sapply(lapply(scl, slot, "by"), length) == 0
names(scl)[directly]

## Methods -- applicaple to all subclasses above:
showMethods(classes = "symmetricMatrix")