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arXiv · 1505.03668

On the existence of flat orthogonal matrices

Philippe Jaming·Mate Matolcsi
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Abstract

In this note we investigate the existence of flat orthogonal matrices, i.e. real orthogonal matrices with all entries having absolute value close to $\frac{1}{\sqrt{n}}$. Entries of $\pm \frac{1}{\sqrt{n}}$ correspond to Hadamard matrices, so the question of existence of flat orthogonal matrices can be viewed as a relaxation of the Hadamard problem.

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Philippe Jaming, Mate Matolcsi. 2015-05-14. On the existence of flat orthogonal matrices. https://arxiv.org/abs/1505.03668

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