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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.

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Accepted Answer

Rishabh Mishra
Rishabh Mishra on 21 Dec 2020
Hi,
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!

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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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