Algorithm for generating orthogonal matrices with rational elements

Computer Science – Mathematical Software

Scientific paper

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AmSTeX, 7 pages, amsppt style, English wording is improved, references are transformed to hyperlinks, the fugure is incorporat

Scientific paper

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.

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