# 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} }

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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