Subspaces Analysis for Random Projection UTV Framework

DOI10.1137/21M1451592OpenAlexW4289854162MaRDI QIDQ5099408

Yuan Jian

Publication date: 31 August 2022

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/21m1451592

zbMATH Keywords

random projectionsubspacessubspace distanceUTV decompositions

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18)

Uses Software

• UTV
• rsvd
• RandNLA

Cites Work

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• Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions
• Rang revealing QR factorizations
• Low-rank revealing \(UTV\) decompositions
• UTV tools: Matlab templates for rank-revealing UTV decompositions
• Four algorithms for the the efficient computation of truncated pivoted QR approximations to a sparse matrix
• Randomized QLP decomposition
• Regularization with randomized SVD for large-scale discrete inverse problems
• Optimal CUR Matrix Decompositions
• Randomized algorithms for the low-rank approximation of matrices
• Randomized Algorithms for Matrices and Data
• A Randomized Algorithm for Principal Component Analysis
• The QLP Approximation to the Singular Value Decomposition
• Practical Sketching Algorithms for Low-Rank Matrix Approximation
• Bounding the Subspaces from Rank Revealing Two-Sided Orthogonal Decompositions
• Efficient Algorithms for Computing a Strong Rank-Revealing QR Factorization
• Subspace Iteration Randomization and Singular Value Problems
• Updating a Rank-Revealing ULV Decomposition
• Randomized QR with Column Pivoting

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