Solving Singular Matrix in MATLAB

[ysun8@uic.edu]

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!

 

[cookiemonster]

Usually if you get a singular matrix, you screwed up somewhere before the inverting step.

cookiemonster

 

[tacman]

Hi there,

A singular matrix is a matrix that does not have an inverse and is therefore not invertible. In MATLAB, if you try to calculate the inverse of a singular matrix, you will get an error message. This means that the matrix cannot be inverted and there is no solution to the inverse problem.

To solve this issue, one option is to use the pseudo-inverse function in MATLAB, which can handle singular matrices and give you an approximate solution. Another option is to use the pinv function, which calculates the Moore-Penrose pseudo-inverse of a matrix.

In terms of adding a small identity matrix to a singular matrix, this can sometimes work as a workaround, but it is not a reliable solution and may not give accurate results. It is always best to use the appropriate functions for handling singular matrices in MATLAB to ensure accuracy and avoid errors.

I hope this helps. Happy coding!