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Computing generalized Inverse of a square but sparse matrix?

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Sanwar Ahmad
Sanwar Ahmad 2020년 12월 16일
답변: Christine Tobler 2021년 1월 8일
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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Rishabh Mishra
Rishabh Mishra 2020년 12월 21일
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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Christine Tobler
Christine Tobler 2021년 1월 8일
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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