Relating p-adic eigenvalues and the local Smith normal form
نویسندگان
چکیده
منابع مشابه
Relating $p$-Adic eigenvalues and the local Smith normal form
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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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2015
ISSN: 0024-3795
DOI: 10.1016/j.laa.2015.05.001