skewsymmetry | R Documentation |
The decomposition of an asymmetric matrix into a symmetric matrix and a skew-symmetric matrix is an elementary result from mathematics that is the cornerstone of this package. The decomposition into a skew-symmetric and a symmetric component is written as: Q=S+A, where Q is an asymmetric matrix, S is a symmetric matrix, and A is a skew-symmetric matrix. This decomposition provides a justification for separate analyses of S and A. This decomposition is a useful tool for data analysis and graphical representation by areas. A second application is to the study of an asymmetric matrix of residuals, obtained after fitting a MDS model.
skewsymmetry(x)
x |
Asymmetric matrix |
S |
The symmetric part of the matrix |
A |
The skew-symmetric part of the matrix |
linear |
The row means of the skew-symmetric matrix, this amounts to fitting a linear model with row and column effects to the skew-symmetric matrix |
sv |
The singular vectors of the skew-symmetric matrix |
sval |
a vector containing the singular values of the skew-symmetric part of the data matrix |
nobj |
The number of objects |
plot.skewsymmetry
data("Englishtowns") Q <- skewsymmetry(Englishtowns) # the skew-symmetric part Q$A
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.