| Note to preconditioners extracted from majorization matrix for multi-linear systems |
| کد مقاله : 1097-SLAA10 |
| نویسندگان |
|
فاطمه پنجه علی بیک، مهدی نجفی کلیانی * گروه ریاضی، دانشکده علوم ریاضی، دانشگاه ولی عصر رفسنجان، رفسنجان، ایران |
| چکیده مقاله |
| In this work, we study the performance of a general class of preconditioners to accelerate the convergence speed of iterative schemes for solving multi-linear systems whose coefficient tensor is a strong $\mathcal{M}$-tensor. Some comparison results are presented between preconditioners extracted from the majorization matrix associated with the coefficient tensor. Numerical experiments are reported for a test example to illustrate the validity of theoretical discussions. |
| کلیدواژه ها |
| Iterative method, multi-linear system, convergence, $\mathcal{M}$-tensor, preconditioner. |
| وضعیت: پذیرفته شده مشروط برای ارائه شفاهی |