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A preconditioned Jacobi-type method for solving multi-linear systems | ||
| Journal of Mahani Mathematical Research | ||
| دوره 10، شماره 2، دی 2021، صفحه 21-31 اصل مقاله (494.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2021.16997.1129 | ||
| نویسندگان | ||
| Mehdi Najafi-Kalyani* ؛ Fatemeh P. A. Beik | ||
| Department of Mathematics, Vali-e-Asr University of Rafsanjan, PO Box 518, Rafsanjan, Iran | ||
| چکیده | ||
| Recently, Zhang et al. [Applied Mathematics Letters 104 (2020) 106287] proposed a preconditioner to improve the convergence speed of three types of Jacobi iterative methods for solving multi-linear systems. In this paper, we consider the Jacobi-type method which works better than the other two ones and apply a new preconditioner. The convergence of proposed preconditioned iterative method is studied. It is shown that the new approach is superior to the recently examined one in the literature. Numerical experiments illustrate the validity of theoretical results and the efficiency of the proposed preconditioner. | ||
| کلیدواژهها | ||
| Iterative method؛ multi-linear system؛ strong $mathcal{M}$-tensor؛ preconditioning | ||
| مراجع | ||
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