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.

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]