On the complexity of the orbit problem
We consider higher-dimensional versions of Kannan and Lipton’s Orbit Problem—determining whether a target vector space V may be reached from a starting point x under repeated applications of a linear transformation A. Answering two questions posed by Kannan and Lipton in the 1980s, we show that when...
| Asıl Yazarlar: | , , |
|---|---|
| Materyal Türü: | Journal article |
| Baskı/Yayın Bilgisi: |
Association for Computing Machinery
2016
|
| Özet: | We consider higher-dimensional versions of Kannan and Lipton’s Orbit Problem—determining whether a target vector space V may be reached from a starting point x under repeated applications of a linear transformation A. Answering two questions posed by Kannan and Lipton in the 1980s, we show that when V has dimension one, this problem is solvable in polynomial time, and when V has dimension two or three, the problem is in NPRP. |
|---|