swp: Sweep operator

In ggm: Graphical Markov Models with Mixed Graphs

Sweep operator

Description

Sweeps a covariance matrix with respect to a subset of indices.

Usage

swp(V, b)

Arguments

V	a symmetric positive definite matrix, the covariance matrix.
b	a subset of indices of the columns of V.

Details

The sweep operator has been introduced by Beaton (1964) as a tool for inverting symmetric matrices (see Dempster, 1969).

Value

a square matrix U of the same order as V. If a is the complement of b, then U[a,b] is the matrix of regression coefficients of a given b and U[a,a] is the corresponding covariance matrix of the residuals.

If b is empty the function returns V.

If b is the vector 1:nrow(V) (or its permutation) then the function returns the opposite of the inverse of V.

Author(s)

Giovanni M. Marchetti

References

Beaton, A.E. (1964). The use of special matrix operators in statistical calculus. Ed.D. thesis, Harvard University. Reprinted as Educational Testing Service Research Bulletin 64-51. Princeton.

Dempster, A.P. (1969). Elements of continuous multivariate analysis. Reading: Addison-Wesley.

See Also

fitDag

Examples

## A very simple example
V <- matrix(c(10, 1, 1, 2), 2, 2)
swp(V, 2)

ggm documentation built on May 29, 2024, 7:27 a.m.