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math.NA2024
Randomized dual singular value decomposition
Mengyu Wang, Jingchun Zhou, Hanyu Li
We first propose a concise singular value decomposition of dual matrices. Then, the randomized version of the decomposition is presented. It can significantly reduce the computatio…
math.NA2023
CPQR-based randomized algorithms for generalized CUR decompositions
Guihua Zhang, Hanyu Li, Yimin Wei
Based on the column pivoted QR decomposition, we propose some randomized algorithms including pass-efficient ones for the generalized CUR decompositions of matrix pair and matrix t…