Bibliographic Details
| Title: |
Multi-step Partially Randomized Extended Kaczmarz Algorithm For Solving Inconsistent Linear Systems. |
| Authors: |
Guo, Ying-Ying1 guoyy99910@163.com |
| Source: |
IAENG International Journal of Applied Mathematics. Mar2026, Vol. 56 Issue 3, p994-1000. 7p. |
| Subjects: |
Linear systems, Iterative methods (Mathematics), Numerical analysis, Computer performance |
| Abstract: |
This paper introduces a multi-step partially randomized extended Kaczmarz (MPREK) method, which employs a residual-threshold-based row selection strategy to adaptively identify the most influential rows in each iteration. This approach removes the need for preset inner-loop parameters while preserving convergence guarantees. Numerical tests conducted on both synthetic and actual datasets reveal that MPREK consistently outperforms some other REK-type algorithms in both iteration counts and CPU time, providing an effective balance between efficiency and convergence speed. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
