WoodburyMatrix-class: Virtual class for Woodbury identity matrices

Description

The WoodburyMatrix is a virtual class, contained by both GWoodburyMatrix (for general matrices) and SWoodburyMatrix (for symmetric matrices). See WoodburyMatrix for construction of these classes. The methods available for these classes are described below; see also the solve methods. This class is itself a subclass of Matrix, so basic matrix methods like nrow, ncol, dim and so on also work.

Sub-class representing a generic matrix.

Sub-class representing a symmetric matrix. Also subclasses symmetricMatrix.

Usage

# S4 method for GWoodburyMatrix
isSymmetric(object)
# S4 method for SWoodburyMatrix
isSymmetric(object)
# S4 method for GWoodburyMatrix,ANY
%*%(x, y)
# S4 method for SWoodburyMatrix,ANY
%*%(x, y)
# S4 method for GWoodburyMatrix
t(x)
# S4 method for SWoodburyMatrix
t(x)

Arguments

object: WoodburyMatrix object
x: WoodburyMatrix object
y: Matrix or vector

Functions

isSymmetric(GWoodburyMatrix): Check for symmetry of matrix; always returns FALSE.
isSymmetric(SWoodburyMatrix): Check for symmetry of matrix; always returns TRUE.
x %*% y: Matrix multiplication (generally fast and
x %*% y: Matrix multiplication (generally fast and
t(GWoodburyMatrix): Return the transpose of the matrix as another GWoodburyMatrix.
t(SWoodburyMatrix): Does nothing, just returns x.

Slots

A: n x n subclass of Matrix (GWoodburyMatrix) or symmetricMatrix (SWoodburyMatrix).

B

p x p subclass of Matrix (GWoodburyMatrix) or symmetricMatrix (SWoodburyMatrix).

U

n x p subclass of Matrix (only for

V

p x m subclass of Matrix (only for

X