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Derivatives of partial eigendecomposition of a real symmetric matrix for degenerate cases (2011.04366v1)
Published 9 Nov 2020 in math.NA and cs.NA
Abstract: 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.