matrixLaplacian {matrixLaplacian}

Normalized Laplacian Matrix and Laplacian Map

Description

Constructs the normalized Laplacian matrix of a square matrix, returns the eigenvectors (singular vectors) and visualization of normalized Laplacian map.

Usage

matrixLaplacian(A, plot2D=TRUE, plot3D=TRUE)

Arguments

A

a numeric or complex matrix whose normalized Laplacian matrix is to be computed

plot2D

a logical value indicating whether a 2-D map should be plotted

plot3D

a logical value indicating whether a 3-D map should be plotted

Value

LaplacianMatrix

the symmetric normalized Laplacian matrix

eigenvector

the eigenvectors of normalized Laplacian matrix, which are same as singular vectors

Examples

#Create a square matrix
A <- matrix(c(1:16), 4, 4)
#Construct normalized Laplacian matrix and plot map
m <- matrixLaplacian(A, plot2D=TRUE, plot3D=TRUE)
#See the eigenvectors
vector<-m$eigenvector