Corpus ID: 226281561

Derivatives of partial eigendecomposition of a real symmetric matrix for degenerate cases

@article{Kasim2020DerivativesOP,
  title={Derivatives of partial eigendecomposition of a real symmetric matrix for degenerate cases},
  author={Muhammad F. Kasim},
  journal={ArXiv},
  year={2020},
  volume={abs/2011.04366}
}
  • M. Kasim
  • Published 9 November 2020
  • Physics, Computer Science, Mathematics
  • ArXiv
This paper presents the forward and backward derivatives of partial eigendecomposition, i.e. where it only obtains some of the eigenpairs, of a real symmetric matrix for degenerate cases. The numerical calculation of forward and backward derivatives can be implemented even if the degeneracy never disappears and only some eigenpairs are available. 
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