# simp

rational simplification

### Syntax

[N1,D1]=simp(N,D) H1=simp(H)

### Arguments

- N,D
real polynomials or real matrix polynomials

- H
rational matrix (i.e matrix with entries

`n/d`

,`n`

and`d`

real polynomials)

### Description

`[n1,d1]=simp(n,d)`

calculates two polynomials `n1`

and `d1`

such that `n1/d1 = n/d`

.

If `N`

and `D`

are polynomial matrices the calculation
is performed element-wise.

`H1=simp(H)`

is also valid (each entry of `H`

is
simplified in `H1`

).

Caution: |

-no threshold is given i.e. `simp`

cannot forces a
simplification.

-For linear dynamic systems which include integrator(s) simplification
changes the static gain. (`H(0)`

for continuous systems or `H(1)`

for
discrete systems)

-for complex data, `simp`

returns its input(s).

-rational simplification is called after nearly each operations on
rationals. It is possible to toggle simplification on or off using
`simp_mode`

function.

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