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On the computation of elementary divisors of integer matrices. (English) Zbl 1017.65037
The author describes a semi-modular algorithm which computes, given a matrix $$A$$ of known rank and a prime $$p$$, the multiplicities of $$p$$ in the factorizations of the elementary divisors of $$A$$. Numerical examples, calculated via software dveloped by the author, illustrate the theory.

##### MSC:
 65F30 Other matrix algorithms (MSC2010) 15A21 Canonical forms, reductions, classification 68W30 Symbolic computation and algebraic computation
EDIM; Magma; GAP
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##### References:
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