Singular Vectors From Singular Values

2020/02/02 by Xu, Weiwei, Ng, Michael K.
#15A18 #FOS: Mathematics #G.1 #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2002.00371

Abstract

In the recent paper \cite1, 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.

Related

• Eigenvalue–Eigenvector Identity for Dual Hermitian Matrices
• Note on eigenvectors from eigenvalues
• Eigenvalues, singular values, and Littlewood-Richardson coefficients
• Eigenvalues, singular values, and the O'Shea-Sjamaar Theorem
• Eigenvalues and Diagonal Elements