有理正交与实正交
Rational Orthogonal versus Real Orthogonal
摘要：
本文提出的主要问题是：给定一个实正交n × n矩阵X，是否存在一个有理正交矩阵Y具有相同的零模式？我们猜想这是一种情况，并证明了它为n<=5。我们也考虑对称正交矩阵的相关问题。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
