Algorithm for generating orthogonal matrices with rational elements
<|reference_start|>Algorithm for generating orthogonal matrices with rational elements: Special orthogonal matrices with rational elements form the group SO(n,Q), where Q is the field of rational numbers. A theorem describing the structure of an arbitrary matrix from this group is proved. This theorem yields an algorithm for generating such matrices by means of random number routines.<|reference_end|>
@article{sharipov2002algorithm,
    title={Algorithm for generating orthogonal matrices with rational elements},
    author={Ruslan Sharipov},
    journal={arXiv preprint arXiv:cs/0201007},
    year={2002},
    archivePrefix={arXiv},
    eprint={cs/0201007},
    primaryClass={cs.MS cs.DS}
}