Solving Singular Matrix in MATLAB

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SUMMARY

The discussion centers on handling singular matrices in MATLAB when attempting to compute their inverse. Users explore the technique of adding a small identity matrix, specifically 0.00005 times the identity matrix, to the diagonal of a singular matrix to facilitate inversion. The example provided illustrates the comparison between directly solving a singular matrix and modifying it with a small identity matrix. The consensus indicates that while this method can yield a result, it is often a workaround for underlying issues in the data or matrix formulation.

PREREQUISITES
  • Understanding of singular matrices in linear algebra
  • Familiarity with MATLAB syntax and operations
  • Knowledge of matrix inversion techniques
  • Basic concepts of numerical stability in computations
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  • Research MATLAB's 'pinv' function for computing the pseudoinverse of matrices
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  • Explore the implications of numerical stability in matrix computations
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Mathematics students, data scientists, and engineers working with MATLAB who need to understand matrix operations and handle singular matrices effectively.

ysun8@uic.edu
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singular matrix ?

Hi, guys,

< in MATLAB >
what should i do if i want to get the inverse matrix but it's a singular one? can i just add a very small identity matrix like 0.00005 on the diagnol? will it change the result?

eg:

w0 = S\meandiff

is that the same as

w0 = ( S+0.00005*eye( size( S ) ) )\meandiff


thanks!
 
Physics news on Phys.org
Usually if you get a singular matrix, you screwed up somewhere before the inverting step.

cookiemonster
 

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