A new (I+P)-like preconditioner for the SOR method for solving multi-linear systems with \mathcal{M} -tensors
Publish place: Journal of Mathematical Modeling، Vol: 12، Issue: 1
Publish Year: 1403
Type: Journal paper
Language: English
View: 125
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Document National Code:
JR_JMMO-12-1_009
Index date: 8 June 2024
A new (I+P)-like preconditioner for the SOR method for solving multi-linear systems with \mathcal{M} -tensors abstract
The use of preconditioning techniques has been shown to offer significant advantages in solving multi-linear systems involving nonsingular \mathcal{M}-tensors. In this paper, we introduce a new preconditioner that employs (I+P)-like preconditioning techniques, and give the proof of its convergence. We also present numerical examples and comparison results that demonstrate the superior efficiency of our preconditioner compared to both the original SOR method and the previously proposed preconditioned SOR method.
A new (I+P)-like preconditioner for the SOR method for solving multi-linear systems with \mathcal{M} -tensors Keywords:
A new (I+P)-like preconditioner for the SOR method for solving multi-linear systems with \mathcal{M} -tensors authors
Afsaneh Hasanpour
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
Maryam Mojarrab
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
