Computing generalized Inverse of a square but sparse matrix?

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I am trying to find the generalized inverse of a square and sparse matrix. I am using Matlab, however pinv(matrix) doesn't work for sparse matrices. If you have any suggestion or algorithm, please share. Thanks in advance.

Accepted Answer

Rishabh Mishra
Rishabh Mishra on 21 Dec 2020
The disadvantages of using pinv to find inverse of sparse matrix are:
  1. pinv requires costly SVD.
  2. pinv does not work with sparse matrix.
Instead, you can use the function ‘pseudo-inverse’ for the same purpose. Refer the following link for documentation of ‘pseudo-inverse’ function.
Hope this helps!

More Answers (1)

Christine Tobler
Christine Tobler on 8 Jan 2021
If you want to apply pinv(A)*b, you can instead use lsqminnorm(A, b), which also works for sparse matrices and does something equivalent (using QR decomposition instead of SVD).


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