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Scilab Help >> Polynomials > lcmdiag

# lcmdiag

least common multiple diagonal factorization

### Syntax

```[N,D]=lcmdiag(H)
[N,D]=lcmdiag(H,flag)```

### Arguments

H

rational matrix

N

polynomial matrix

D

diagonal polynomial matrix

flag

character string: `'row'` or `'col'` (default)

### Description

`[N,D]=lcmdiag(H,'row')` computes a factorization `D*H=N`, i.e. `H=D^(-1)*N` where D is a diagonal matrix with D(k,k)=lcm of kth row of H('den').

`[N,D]=lcmdiag(H)` or `[N,D]=lcmdiag(H,'col)` returns `H=N*D^(-1)` with diagonal D and D(k,k)=lcm of kth col of H('den')

### Examples

```s=poly(0,'s');
H=[1/s,(s+2)/s/(s+1)^2;1/(s^2*(s+2)),2/(s+2)];
[N,D]=lcmdiag(H);
N/D-H```

• lcm — least common multiple
• gcd — Greatest Common Divisor
• bezout — Bezout equation for polynomials or integers

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