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https://ah.lib.nccu.edu.tw/handle/140.119/61901
題名: | Solving System of Linear Equations Based on Modified Homotopy Perturbation Method | 作者: | 劉明郎 Liu,Ming Long |
貢獻者: | 應數系 | 關鍵詞: | Modif ied homotopy perturbation; System of linear equations; Successive overrelaxation | 日期: | 三月-2013 | 上傳時間: | 27-十一月-2013 | 摘要: | An efficient numerical algorithm for solving system of linear equations based on modified homotopy perturbation method (MHPM) is presented. We also study the convergence of the proposed algorithm. The convergent conditions of the proposed algorithm are constructed. The connection with the well-known algorithms such as successive over-relaxation (SOR) method is discussed. The proposed algorithm is compared with SOR method and those obtained by the original homotopy perturbation method. Some examples from the literature are given to illustrate that the proposed algorithm is outperform the results obtained by SOR and the original homotopy perturbation method. | 關聯: | International Journal of Intelligent Technologies and Applied Statistics, , 6(3), 307-320 | 資料類型: | article | DOI: | http://dx.doi.org/10.6148/IJITAS.2013.0603.06 |
Appears in Collections: | 期刊論文 |
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