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create alternative version for eigen values/vectors calculation #3016

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bartekleon
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solution for #3014

This is a rough version. It might not work for all cases.

@bartekleon
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Checklist for implementation (unless decided otherwise):

  • !! Ensure eigenvectors are correct, not only eigenvalues
  • Ensure BigInt working
  • Ensure BigNumber working
  • Ensure Complex working

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gwhitney commented Sep 2, 2023

There are a lot of numerical issues in computing eigenvalues and eigenvectors. The current implementation at least attempts to handle those by "balancing" the matrix, etc. I doubt the solution is to start afresh with a totally new implementation (that will likely have its own collection of shortcomings). But let's keep this concept open until the issue in #2879 is resolved.

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