genmarkov generates random markov matrix with recurrent and transient classes

## Syntax

    M=genmarkov(rec,tr)
                M=genmarkov(rec,tr,flag)

## Arguments

rec

  integer row vector (its dimension is the number of recurrent classes).

tr

  integer (number of transient states)

M

  real Markov matrix. Sum of entries in each row should add to one.

flag

  string `'perm'`. If given, a random permutation of the states is done.

## Description

Returns in M a random Markov transition probability matrix with `size(rec,1)` recurrent classes with `rec(1),...rec($)` entries respectively and tr transient states.

## Examples

    //P has two recurrent classes (with 2 and 1 states) 2 transient states
    P=genmarkov([2,1],2,'perm')
    [perm,rec,tr,indsRec,indsT]=classmarkov(P);
    P(perm,perm)

## See also

- classmarkov
- eigenmarkov