3 papers
math.NA2026
Precision-induced Adaptive Randomized Low-Rank Approximation for SVD and Matrix Inversion
Weiwei Xu, Weijie Shen, Zhengjian Bai +1
Singular value decomposition (SVD) and matrix inversion are ubiquitous in scientific computing. Both tasks are computationally demanding for large scale matrices. Existing algorith…
math.NA2025
A Novel Adaptive Low-Rank Matrix Approximation Method for Image Compression and Reconstruction
Weiwei Xu, Weijie Shen, Chang Liu +1
Low-rank matrix approximation plays an important role in various applications such as image processing, signal processing and data analysis. The existing methods require a guess of…
math.NA2024
Two-sided uniformly randomized GSVD for large-scale discrete ill-posed problems with Tikhonov regularizations
Weiwei Xu, Weijie Shen, Zheng-Jian Bai
The generalized singular value decomposition (GSVD) is a powerful tool for solving discrete ill-posed problems. In this paper, we propose a two-sided uniformly randomized GSVD algo…