smacof (version 1.8-13)

symdecomp: Proximity Matrix Decomposition

Description

Additive decomposition of an asymmetric, square proximity matrix into a symmetric matrix and an skew-symmetric matrix

Usage

symdecomp(P)

Arguments

P

Square matrix

Value

Returns the following matrices:

M

symmetric component

N

skew-symmetric component

Details

Performs the decompositon $P = M + N$ (M and N are orthogonal).

References

Borg, I., & Groenen, P. J. F. (2005). Modern Multidimensional Scaling (2nd ed.). Springer.

Examples

P <- matrix(c(92,5,4,8,4,84,38,62,6,37,87,17,13,31,17,88), ncol = 4)
symdecomp(P)