New preconditioned Gauss-Seidel type methods for solving multi-linear systems with $ \mathcal{M} $-tensors

In this paper, we propose a new preconditioner for the multi-linear systems with $ \mathcal{M} $-tensors by utilizing some elements in the first row and column of the majorization matrix associated with the system tensor. The new preconditioner generalizes the one proposed in (Calcolo, 57(2020) 15)....

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التفاصيل البيبلوغرافية

الحاوية / القاعدة:	Electronic Research Archive
المؤلفون الرئيسيون:	Xiuwen Zheng, Jingjing Cui, Zhengge Huang
التنسيق:	مقال
اللغة:	الإنجليزية
منشور في:	AIMS Press 2025-06-01
الموضوعات:	multi-linear systems with $ \mathcal{m} $-tensors preconditioning tensor splitting preconditioned gauss-seidel type method convergence theorems comparison theorems
الوصول للمادة أونلاين:	https://www.aimspress.com/article/doi/10.3934/era.2025153