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Scilab Help >> Linear Algebra > Markov Matrices > genmarkov

# genmarkov

generates random markov matrix with recurrent and transient classes

### Calling Sequence

```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 — recurrent and transient classes of Markov matrix
• eigenmarkov — normalized left and right Markov eigenvectors

### Comments

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