Solving Frobenius Equations and Computing Frobenius Numbers
Solving Frobenius Equations and Computing Frobenius Numbers
A Frobenius equation is an equation of the form
where 
, …, 
are positive integers, 
is an integer, and the coordinates 
, …, 
of solutions are required to be non‐negative integers.
The Frobenius number of 
, …, 
is the largest integer 
for which the Frobenius equation 
has no solutions.
| FrobeniusSolve[{a1,…,an},b] | give a list of all solutions of the Frobenius equation  |
| FrobeniusSolve[{a1,…,an},b,m] | give  solutions of the Frobenius equation  ; if less than  solutions exist, give all solutions |
| FrobeniusNumber[{a1,…,an}] | give the Frobenius number of  , …,  |
Functions for solving Frobenius equations and computing Frobenius numbers.
