Fast Reduced Row Echelon Form

Version 1.3.0.0 (2.42 KB) by Armin Ataei
A much faster version of MATLAB's RREF
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1.9K Downloads
Updated 11 Jan 2013

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For full matrices, the algorithm is based on the vectorization of MATLAB's RREF function. A typical speed-up range is about 2-4 times of the MATLAB's RREF function. However, the actual speed-up depends on the size of A. The speed-up is quite considerable if the number of columns in A is considerably larger than the number of its rows or when A is not dense.

For sparse matrices, the algorithm ignores the tol value and uses sparse QR to compute the rref form, improving the speed by a few orders of magnitude.

Authors: Armin Ataei, Ashish Myles

Cite As

Armin Ataei (2026). Fast Reduced Row Echelon Form (https://in.mathworks.com/matlabcentral/fileexchange/21583-fast-reduced-row-echelon-form), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2012a
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Version Published Release Notes
1.3.0.0

Support for sparse matrices was added, which improves the speed-up by a couple orders of magnitude compared to the previous version of frref.
1.2.0.0

Added support for sparse matrices, which improves the speed-up a few orders of magnitude compared to the previous version of frref.
1.0.0.0

Screenshot was resized.