Momentum acceleration-based matrix splitting method for solving generalized absolute value equation

In this paper, a momentum acceleration-based matrix splitting iteration method is presented for solving generalized absolute value equation. The convergence of the accelerated iteration method is studied in detail. And the optimal iteration parameters are studied. In particular, we present the appro...

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Veröffentlicht in:Computational & applied mathematics 2023-10, Vol.42 (7), Article 300
Hauptverfasser: Zhang, Jia-Lin, Zhang, Guo-Feng, Liang, Zhao-Zheng, Liao, Li-Dan
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Sprache:eng
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Zusammenfassung:In this paper, a momentum acceleration-based matrix splitting iteration method is presented for solving generalized absolute value equation. The convergence of the accelerated iteration method is studied in detail. And the optimal iteration parameters are studied. In particular, we present the approximate optimal iteration parameters which are independent of the number of iterations. Numerical experiments show that the proposed method with suitable parameters is efficient and accelerate the convergence performance with less CPU time and the number of iteration steps than some existing iteration methods.
ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-023-02436-1