The polytope-collision problem

The Orbit Problem consists of determining, given a matrix $A\in\mathbb{R}^{d\times d}$ and vectors $x,y\in \mathbb{R}^d$, whether there exists $n\in \mathbb{N}$ such that $A^n=y$. This problem was shown to be decidable in a seminal work of Kannan and Lipton in the 1980s. Subsequently, Kannan and Lip...

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Bibliographic Details
Main Authors: Almagor, S, Ouaknine, J, Worrell, J
Format: Journal article
Published: Leibniz International Proceedings in Informatics 2017