| Title: | Normalized Laplacian Matrix and Laplacian Map |
| Version: | 1.0 |
| Imports: | scatterplot3d, graphics |
| Description: | Constructs the normalized Laplacian matrix of a square matrix, returns the eigenvectors (singular vectors) and visualization of normalized Laplacian map. |
| Depends: | R (≥ 3.2.2) |
| License: | GNU General Public License version 2 |
| Encoding: | UTF-8 |
| LazyData: | true |
| RoxygenNote: | 5.0.1 |
| NeedsCompilation: | no |
| Packaged: | 2016-07-14 13:44:09 UTC; tianhaowu |
| Author: | Tianhao Wu [aut, cre] |
| Maintainer: | Tianhao Wu <tianhao.wu@yale.edu> |
| Repository: | CRAN |
| Date/Publication: | 2016-07-14 15:57:37 |
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