RandOrthMat

Version 1.0.0.0 (695 Bytes) by Ofek Shilon
Generates a random orthogonal (real) square matrix of given size.
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Updated 6 Sep 2006

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M = RANDORTHMAT(n)
Generates a random n x n orthogonal real matrix.

M = RANDORTHMAT(n,tol)
Explicitly specifies a thresh value that measures linear dependence of a newly formed column with the existing columns. Defaults to 1e-6.

The generated matrix distribution is now (as of Sept 06) uniform over the manifold O(n) w.r.t. the induced R^(n^2) Lebesgue measure. Thanks to Roger Stafford and his randsphere for the idea.

Cite As

Ofek Shilon (2026). RandOrthMat (https://www.mathworks.com/matlabcentral/fileexchange/11783-randorthmat), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2006a
Compatible with any release
Platform Compatibility
Windows macOS Linux
Categories
Find more on Random Number Generation in Help Center and MATLAB Answers
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Acknowledgements

Inspired: kfs_suite

Version Published Release Notes
1.0.0.0

bug fix - rand replaced with randn.