How can I stabilize the matrix left division (i.e. "\")?

I have a problem using the matrix left division operator (i.e. " \ ").

In particular, it happens to me that if I apply the operator on the same matrix and using the same Matlab version (2023a) but using two different PC, I obtain two different results.

I think that the problent could be that I'm working with a singular matrix. However I'd like to find a way to solve the calculation obtaining the same results even if I use different PC, maybe forcing the same settings of the operator.

Can you help me?

Answer 1

[Matt J]

You cannot. You must regularize the problem somehow and make the matrix non-singular.

Answer 2

[Bruno Luong]

Try pinv, lsqminnorm it can stabilize somewhat the inversion with (near) singular matrix. Both bave a tolerance argument to tune the stability?