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Algorithm for generating orthogonal matrices with rational elements

. (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

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