Relating $p$-Adic eigenvalues and the local Smith normal form
نویسندگان
چکیده
Conditions are established under which the p-adic valuations of the invariant factors (diagonal entries of the Smith form) of an integer matrix are equal to the p-adic valuations of the eigenvalues. It is then shown that this correspondence is the typical case for “most” matrices; precise density bounds are given for when the property holds, as well as easy transformations to this typical case.
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عنوان ژورنال:
- CoRR
دوره abs/1401.1773 شماره
صفحات -
تاریخ انتشار 2014