In the recent paper \cite{1}, Denton et al. provided the eigenvector-eigenvalue identity for Hermitian matrices, and a survey was also given for such identity in the literature. The main aim of this paper is to present the identity related to singular vectors and singular values of a general matrix.
Numerical methods for accurate computation of the eigenvalues of Hermitian matrices and the singular values of general matrices
A note on the eigenvalues, singular values, and eigenvectors of Toeplitz and Hankel matrices
Correction of Errors in the First-Order Perturbation Expansions of Singular Vectors
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