First-Order Perturbation Analysis of Singular Vectors in Singular Value Decomposition

DOI10.1109/TSP.2007.916137zbMath1390.94275MaRDI QIDQ4568964

Xiangqian Liu, Jun Liu, Ma, Xiaoli

Publication date: 27 June 2018

Published in: IEEE Transactions on Signal Processing (Search for Journal in Brave)

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

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A Schatten-\(q\) low-rank matrix perturbation analysis via perturbation projection error bound ⋮ Adaptive integration of nonlinear evolution equations on tensor manifolds ⋮ A Constructive Algorithm for Decomposing a Tensor into a Finite Sum of Orthonormal Rank-1 Terms ⋮ An interval perturbation method for singular value decomposition (SVD) with unknown-but-bounded (UBB) parameters ⋮ Uncertainty characterization of the orthogonal Procrustes problem with arbitrary covariance matrices ⋮ Perturbation expansions and error bounds for the truncated singular value decomposition

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