The convergence analysis of the AOR-type iterative method in preconditioned for the new splitting

Ting Zhou

doi:10.1117/12.2692905

23 August 2023 The convergence analysis of the AOR-type iterative method in preconditioned for the new splitting

Ting Zhou

Proceedings Volume 12784, Second International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2023); 1278425 (2023) https://doi.org/10.1117/12.2692905
Event: 2023 2nd International Conference on Applied Statistics, Computational Mathematics and Software Engineering (ASCMSE 2023), 2023, Kaifeng, China

Abstract

Many problems in mathematics and physics can be reduced to solving large linear equations. Large linear equations are very extensive application in modern mathematics and physics. With the rapid development of parallel computers, the iterative method is a very effective method to solve large linear equations. Z-matrices are often seen when solving large linear equations. We obtain that the convergence results of the AOR-type iterative method in preconditioned for the new splitting. In addition, some corresponding comparison theorems are obtained. In the end, the numerical experiment is also provided to illustrate the validity.

Citation Download Citation

Ting Zhou "The convergence analysis of the AOR-type iterative method in preconditioned for the new splitting", Proc. SPIE 12784, Second International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2023), 1278425 (23 August 2023); https://doi.org/10.1117/12.2692905

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