Rational Orthogonal versus Real Orthogonal
Combinatorics
2011-12-30 v1 Quantum Physics
Abstract
The main question we raise here is the following one: given a real orthogonal n by n matrix X, is it true that there exists a rational orthogonal matrix Y having the same zero-pattern? We conjecture that this is the case and prove it for n<=5. We also consider the related problem for symmetric orthogonal matrices.
Keywords
Cite
@article{arxiv.0903.2853,
title = {Rational Orthogonal versus Real Orthogonal},
author = {Dragomir Z. Djokovic and Simone Severini and Ferenc Szollosi},
journal= {arXiv preprint arXiv:0903.2853},
year = {2011}
}
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23 pages