LU decomposition

Version 1.0.0.0 (1.55 KB) by Timothee
This program obtains the LU decomposition of a matrix using Crout’s Method
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1.8K Downloads
Updated 24 Feb 2010

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This program will obtain the LU decomposition for any square matrix. The LU decomposition method consists of finding the L and U matrices that will satisfy the equation A=L*U, A being a square matrix.

Once L and U found, in order to solve for x, we can rewrite the equation A*x=B as L*x_star=b (Eq.1) where x_star=U*x (Eq.2).

Then we can find x_start by using forward substitution on Equation 1 and finally solve for x using backward substitution on Equation 2.

Cite As

Timothee (2026). LU decomposition (https://nl.mathworks.com/matlabcentral/fileexchange/26775-lu-decomposition), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2009b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Version Published Release Notes
1.0.0.0