Relating $p$-adic eigenvalues and the local Smith normal form

Autor:	Elsheikh, Mustafa, Giesbrecht, Mark
Rok vydání:	2014
Předmět:	Mathematics - Rings and Algebras Computer Science - Symbolic Computation Mathematics - Probability 15A36 15A18 15A21
Druh dokumentu:	Working Paper
DOI:	10.1016/j.laa.2015.05.001
Popis:	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. Comment: To appear in Linear Algebra and Its Applications
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1401.1773 Zobrazit plný text záznamu View this record from Arxiv