Geodesic
Randomized average block iterative methods for solving factorised linear systems
Filomat, Tome 37 (2023) no. 14, p. 4603

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DOI

Recently, some randomized iterative methods are proposed to solve large-scale factorised linear systems. In this paper, we present two randomized average block iterative methods which still take advantage of the factored form and need not perform the entire matrix. The new methods are pseudoinverse-free and can be implemented for parallel computation. Furthermore, we analyze their convergence behaviors and obtain the exponential convergence rate. Finally, some numerical examples are carried out to show the effectiveness of our new methods.
DOI : 10.2298/FIL2314603Z
Classification : 65F10, 65H10
Keywords: Factorised linear systems, Randomized average block Kaczmarz method, Randomized extended average block Kaczmarz method 
Jing Zhao; Xiang Wang; Jianhua Zhang. Randomized average block iterative methods for solving factorised linear systems. Filomat, Tome 37 (2023) no. 14, p. 4603 . doi: 10.2298/FIL2314603Z
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     author = {Jing Zhao and Xiang Wang and Jianhua Zhang},
     title = {Randomized average block iterative methods for solving factorised linear systems},
     journal = {Filomat},
     pages = {4603 },
     year = {2023},
     volume = {37},
     number = {14},
     doi = {10.2298/FIL2314603Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2314603Z/}
}
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