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A new two-step iteration method for solving non-Hermitian positive definite linear systems | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 28 آذر 1404 اصل مقاله (1.12 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.68808.3368 | ||
| نویسندگان | ||
| Mehdi Makhdomi1؛ Davod Khojasteh Salkuyeh* 2؛ Morad Ahmadnasab1 | ||
| 1Department of Mathematics, University of Kurdistan, P.O. Box 416, Sanandaj, Iran. | ||
| 2Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran. | ||
| چکیده | ||
| We introduce a new two-step iteration method for solving large and sparse non-Hermitian positive definite system of linear equations. We analyze the convergence properties of the method and show that under some conditions it is convergent. We extract the preconditioner of proposed method and apply it to expedite the convergence of the flexible version of GMRES method for solving the system. Numerical experiments support the theoretical results and shows that the new method and the corresponding preconditioner are more efficient than the well-known methods and preconditioners in the literature. | ||
| کلیدواژهها | ||
| Non-Hermitian؛ Positive definite؛ Hermitian؛ Skew-Hermitian؛ Convergence | ||
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آمار تعداد مشاهده مقاله: 4 تعداد دریافت فایل اصل مقاله: 5 |
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