Date: Apr 1, 2013 1:22 PM
Author: Bruno Luong
Subject: Re: determinant calculation of integer matrices
> Is there a reason that's supposed to be better than co-factor expansion? In the case of P=magic(9)-41 one can see that a significant absolute error is obtained through LU, whereas with co-factor expansion, you would have none.

Complexity.

When one is dealing with ill-conditioned (or not) matrix, asking for numerical determinant is generally useless in practice.

The co-factor method also requires high numerical precision that is also has its limitation without infinity precision numbers, especially for large dimension.

Bruno