R: Function for iterated row and column normalization of valued...

ircNorm {blockmodeling} | R Documentation

## Function for iterated row and column normalization of valued matrices

### Description

The aim is to obtain a matrix with row and column sums equal to 1. This is achieved by iterating row and column normalization. This is usually not possible if any row or column has only 1 non-zero cell.

### Usage

    ircNorm(M, eps = 10^-12, maxiter = 1000)

### Arguments

`M` | A non-negative valued matrix to be normalized.
`eps` | The maximum allows squared deviation of a row or column's maximum from 1 (if not exactly 0). Also, if the all deviations in two consequtive iterations are smaller, the process is terminated.
`maxiter` | Maximum number of iterations. If reached, the process is terminated and the current solution returned.

### Value

Normalized matrix.

### Author(s)

Aleš Žiberna

### Examples

    A <- matrix(runif(100), ncol = 10)
    A # A non-normalized matrix with different row and column sums.
    apply(A, 1, sum)
    apply(A, 2, sum)
    A.norm <- ircNorm(A)
    A.norm # Normalized matrix with all row and column sums approximately 1.
    apply(A.norm, 1, sum)
    apply(A.norm, 2, sum)

[Package blockmodeling version 1.0.5 Index]