mat.rank: Matrix Rank

In mixOmicsTeam/mixOmics: Omics Data Integration Project

Matrix Rank

Description

This function estimate the rank of a matrix.

Usage

mat.rank(mat, tol)

Arguments

mat	a numeric matrix or data frame that can contain missing values.
tol	positive real, the tolerance for singular values, only those with values larger than tol are considered non-zero.

Details

mat.rank estimate the rank of a matrix by computing its singular values d[i] (using nipals). The rank of the matrix can be defined as the number of singular values d[i] > 0.

If tol is missing, it is given by tol=max(dim(mat))*max(d)*.Machine$double.eps.

Value

The returned value is a list with components:

rank	a integer value, the matrix rank.
tol	the tolerance used for singular values.

Author(s)

Sébastien Déjean, Ignacio González, Al J Abadi

See Also

nipals

Examples

## Hilbert matrix
hilbert <- function(n) { i <- 1:n; 1 / outer(i - 1, i, "+") }
mat <- hilbert(16)
mat.rank(mat)

## Not run: 
## Hilbert matrix with missing data
idx.na <- matrix(sample(c(0, 1, 1, 1, 1), 36, replace = TRUE), ncol = 6)
m.na <- m <- hilbert(9)[, 1:6]
m.na[idx.na == 0] <- NA
mat.rank(m)
mat.rank(m.na)

## End(Not run)

mixOmicsTeam/mixOmics documentation built on Oct. 26, 2023, 6:48 a.m.