On matrix powering in low dimensions

We investigate the Matrix Powering Positivity Problem, PosMatPow: given an m×m square integer matrix M, a linear function f : Z m×m → Z with integer coefficients, and a positive integer n (encoded in binary), determine whether f(Mn) ≥ 0. We show that for fixed dimensions m of 2 and 3, this problem i...

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Bibliographic Details
Main Authors: Galby, E, Ouaknine, J, Worrell, J
Other Authors: Mayr, E
Format: Conference item
Published: Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik 2015