Change language to:
English - Français - 日本語 - Português -

Please note that the recommended version of Scilab is 2024.1.0. This page might be outdated.
See the recommended documentation of this function

Справка Scilab >> Polynomials > diophant

# diophant

diophantine (Bezout) equation

### Calling Sequence

`[x,err]=diophant(p1p2,b)`

### Arguments

p1p2

polynomial vector `p1p2 = [p1 p2]`

b

polynomial

x

polynomial vector [x1; x2]

### Description

`diophant` solves the bezout equation:

`p1*x1+p2*x2=b` with `p1p2` a polynomial vector. If the equation is not solvable, `err = ||p1*x1 + p2*x2 - b|| / ||b||`

else `err = 0`.

### Examples

```s = poly(0, 's');
p1 = (s+3)^2;
p2 = (1+s);
x1 = s;
x2 = (2+s);
[x,err] = diophant([p1 p2], p1*x1 + p2*x2);
p1*x1 + p2*x2 - p1*x(1) - p2*x(2)```
 Report an issue << detr Polynomials factors >>

 Copyright (c) 2022-2024 (Dassault Systèmes)Copyright (c) 2017-2022 (ESI Group)Copyright (c) 2011-2017 (Scilab Enterprises)Copyright (c) 1989-2012 (INRIA)Copyright (c) 1989-2007 (ENPC)with contributors Last updated:Thu Oct 02 14:01:06 CEST 2014