Elementary divisors of integer matrices
The main purpose of the EDIM package is to publish an implementation of an algorithm (found by the package author) for computing prime parts of the elementary divisors of integer matrices (i.e., the diagonal entries of the Smith normal form). The programs are developed and already successfully used for large matrices (up to rank >12000) with moderate entries and many non-trivial elementary divisors which are products of some small primes. But they should be useful for other types of matrices as well. Among the other functions of the package are: - an inversion algorithm for large rational matrices (using a p-adic method) - a program for finding the largest elementary divisor of an integral matrix (particularly interesting when this is much smaller than the determinant) and - implementations of some normal form algorithms described by Havas, Majewski, Matthews, Sterling (using LLL- or modular techniques).
You can contact the maintainers of this package via email at
gap-pkg-edim dash maintainers at fedoraproject dot org.