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PyTorch uses LAPACK on the backend, we cannot simply use ScaLAPACK for a variety of reasons. However the ideas of ScaLAPACK can be used in conjunction with the LAPACK already implemented in PyTorch.
For this issues a few other implementation are required. these are listed below:
tridiagonalize (likely with a block Householder scheme)
From my point of view, the most feasible way for implementing a symmetric eigenvalue decomposition is a different one, namely the one proposed in https://www.math.ucdavis.edu/~freund/zolosirev.pdf based on Zolotarev Polar Decomposition
PyTorch uses LAPACK on the backend, we cannot simply use ScaLAPACK for a variety of reasons. However the ideas of ScaLAPACK can be used in conjunction with the LAPACK already implemented in PyTorch.
For this issues a few other implementation are required. these are listed below:
Resources:
http://www.cs.utexas.edu/~inderjit/public_papers/scalapack_sc96.pdf
https://wwwmayr.in.tum.de/konferenzen/Jass09/courses/2/Kleine_Albers_paper.pdf
http://people.inf.ethz.ch/arbenz/ewp/Lnotes/chapters5-6.pdf
https://www2.eecs.berkeley.edu/Pubs/TechRpts/1994/CSD-94-799.pdf
https://www2.eecs.berkeley.edu/Pubs/TechRpts/1994/6315.html
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