Randomized Kaczmarz algorithm with averaging and block projection-Reference-Cited by-同舟云学术

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Randomized Kaczmarz algorithm with averaging and block projection

Published:2023-12-12 Issue:1 Volume:64 Page:
ISSN:0006-3835
Container-title:BIT Numerical Mathematics
language:en
Short-container-title:Bit Numer Math

Author:

Zhang Zeyi,Shen Dong^ORCID

Funder

National Natural Science Foundation of China

Natural Science Foundation of Beijing Municipality

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Link

https://link.springer.com/content/pdf/10.1007/s10543-023-01002-9.pdf

Reference39 articles.

1. Bai, Z.Z., Wu, W.T.: On convergence rate of the randomized Kaczmarz method. Linear Algebra Appl. 553, 252–269 (2018). https://doi.org/10.1016/j.laa.2018.05.009

2. Bai, Z.Z., Wu, W.T.: On greedy randomized Kaczmarz method for solving large sparse linear systems. SIAM J. Sci. Comput. 40(1), A592–A606 (2018). https://doi.org/10.1137/17m1137747

3. Bai, Z.Z., Wu, W.T.: On greedy randomized augmented Kaczmarz method for solving large sparse inconsistent linear systems. SIAM J. Sci. Comput. 43(6), A3892–A3911 (2021). https://doi.org/10.1137/20m1352235

4. Censor, Y., Eggermont, P.P.B., Gordon, D.: Strong underrelaxation in Kaczmarz’s method for inconsistent systems. Numer. Math. 41(1), 83–92 (1983). https://doi.org/10.1007/bf01396307

5. Chen, J.Q., Huang, Z.D.: On a fast deterministic block Kaczmarz method for solving large-scale linear systems. Numer. Algorithms (2021). https://doi.org/10.1007/s11075-021-01143-4

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