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

11/09/2020

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by   Muhammad Firmansyah Kasim, et al.

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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.