Algorithm for generating orthogonal matrices with rational elements
R. Sharipov. (2002)cite arxiv:cs/0201007Comment: AmSTeX, 7 pages, amsppt style, English wording is improved, references are transformed to hyperlinks, the fugure is incorporated into the PS and PDF files.
Abstract
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.
Description
[cs/0201007] Algorithm for generating orthogonal matrices with rational elements
cite arxiv:cs/0201007Comment: AmSTeX, 7 pages, amsppt style, English wording is improved, references are transformed to hyperlinks, the fugure is incorporated into the PS and PDF files
%0 Generic
%1 sharipov2002algorithm
%A Sharipov, Ruslan
%D 2002
%K arxiv matrix paper rational
%T Algorithm for generating orthogonal matrices with rational elements
%U http://arxiv.org/abs/cs/0201007
%X 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.
@misc{sharipov2002algorithm,
abstract = {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.},
added-at = {2019-01-29T12:40:24.000+0100},
author = {Sharipov, Ruslan},
biburl = {https://www.bibsonomy.org/bibtex/2248bf14da7b1dca79258e21ec4d838d8/analyst},
description = {[cs/0201007] Algorithm for generating orthogonal matrices with rational elements},
interhash = {2a8633a4778f879356e5fd5541bb5687},
intrahash = {248bf14da7b1dca79258e21ec4d838d8},
keywords = {arxiv matrix paper rational},
note = {cite arxiv:cs/0201007Comment: AmSTeX, 7 pages, amsppt style, English wording is improved, references are transformed to hyperlinks, the fugure is incorporated into the PS and PDF files},
timestamp = {2019-01-29T12:40:24.000+0100},
title = {Algorithm for generating orthogonal matrices with rational elements},
url = {http://arxiv.org/abs/cs/0201007},
year = 2002
}