並列摘要
We are concerned with the algebraic multigrid (AMG) method for least square problem arisen from image restorations. We employ the Kaczmarz’s method as the smoothers for the AMG and prove the corresponding smoothing property.
參考文獻
[9]William L. Briggs, A Multigrid Tutorial, SIAM, Philadelphia, Pennsylvania, 2000.
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[1] Ming Jiang. Image Reconstruction, Processing and Analysis. Unpublished
[2] Richard L. Burden and J. Douglas Faires, Numerical Analysis,7th Edition, Brooks/Cole Publishing Company, 511 Forest Lodge Road, Pacific Grove, CA 93950, USA, 2001.
延伸閱讀
- Lin, Y. C. (2007). 波瓦松-波茲曼方程之多重網格解法 [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2007.03223
- 葉亞青（2009）。以基線類組邏輯斯模型分析多項式重複測量〔碩士論文，中原大學〕。華藝線上圖書館。https://doi.org/10.6840/cycu200900805
- 曾港錫（2010）。以無網格區域微分積分法求解多階微分項及內插值〔碩士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU.2010.02525
- LARIN, V. B. (2003). ALGORITHM OF J-FACTORIZATION OF RATIONAL MATRICES WITH ZEROS AND POLES ON THE IMAGINARY AXIS. International Journal of Mathematics and Mathematical Sciences, 2003(), 2873-2885-219. https://doi.org/10.1155/S0161171203210498
- Shang, Y., & Zheng, X. (2012). The First-Integral Method and Abundant Explicit Exact Solutions to the Zakharov Equations. Journal of Applied Mathematics, 2012(), 1356-1371-679. https://doi.org/10.1155/2012/818345