We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On the Polyak momentum variants of the greedy deterministic single and multiple row‐action methods.
- Authors
Wu, Nian‐Ci; Zuo, Qian; Wang, Yatian
- Abstract
For solving a consistent system of linear equations, the classical row‐action method, such as Kaczmarz method, is a simple while really effective iteration solver. Based on the greedy index selection strategy and Polyak's heavy‐ball momentum acceleration technique, we propose two deterministic row‐action methods and establish the corresponding convergence theory. We show that our algorithm can linearly converge to a least‐squares solution with minimum Euclidean norm. Several numerical studies have been presented to corroborate our theoretical findings. Real‐world applications, such as data fitting in computer‐aided geometry design, are also presented for illustrative purposes.
- Subjects
LINEAR equations; LINEAR systems; COMPUTER-aided design
- Publication
Numerical Linear Algebra with Applications, 2024, Vol 31, Issue 4, p1
- ISSN
1070-5325
- Publication type
Academic Journal
- DOI
10.1002/nla.2552