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math.NA2013★ 8 cited
Random perturbation of low rank matrices: Improving classical bounds
Sean O'Rourke, Van Vu, Ke Wang
Matrix perturbation inequalities, such as Weyl's theorem (concerning the singular values) and the Davis-Kahan theorem (concerning the singular vectors), play essential roles in qua…
math.NA2010
Singular vectors under random perturbation
Van Vu
Computing the first few singular vectors of a large matrix is a problem that frequently comes up in statistics and numerical analysis. Given the presence of noise, exact calculatio…