Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.17794 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917599865995264 |
|---|---|
| author | Li, Xiaowen |
| author_facet | Li, Xiaowen |
| contents | This thesis gives an overview of the state-of-the-art randomized linear algebra algorithms for singular value decomposition (SVD), including the presentation of existing pseudo-codes and theoretical error analysis. Our main focus is on presenting numerical experiments illustrating image restoration using various randomized singular value decomposition (RSVD) methods; theoretical error bounds, computed errors, and canonical angles analysis for these RSVD algorithms.
This thesis also comes with a newly developed Matlab toolbox that contains implementations and test examples for some of the state-of-the-art randomized numerical linear algebra algorithms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17794 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Randomized Algorithms for Solving Singular Value Decomposition Problems with Matlab Toolbox Li, Xiaowen Optimization and Control This thesis gives an overview of the state-of-the-art randomized linear algebra algorithms for singular value decomposition (SVD), including the presentation of existing pseudo-codes and theoretical error analysis. Our main focus is on presenting numerical experiments illustrating image restoration using various randomized singular value decomposition (RSVD) methods; theoretical error bounds, computed errors, and canonical angles analysis for these RSVD algorithms. This thesis also comes with a newly developed Matlab toolbox that contains implementations and test examples for some of the state-of-the-art randomized numerical linear algebra algorithms. |
| title | Randomized Algorithms for Solving Singular Value Decomposition Problems with Matlab Toolbox |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2402.17794 |