研究生: |
張耀文 Chang, Yao-Wen |
---|---|
論文名稱: |
An Experimental Performance Study of Polynomial Preconditioner in PCG An Experimental Performance Study of Polynomial Preconditioner in PCG |
指導教授: |
黃聰明
Huang, Tsung-Ming |
口試委員: |
陳建隆
Chern, Jann-Long 林敏雄 Lin, Matthew M. 黃聰明 Huang, Tsung-Ming |
口試日期: | 2022/01/25 |
學位類別: |
碩士 Master |
系所名稱: |
數學系 Department of Mathematics |
論文出版年: | 2022 |
畢業學年度: | 110 |
語文別: | 英文 |
論文頁數: | 43 |
英文關鍵詞: | Graph Laplacian, PCG, Polynomial Preconditioner |
研究方法: | 實驗設計法 |
DOI URL: | http://doi.org/10.6345/NTNU202200194 |
論文種類: | 學術論文 |
相關次數: | 點閱:117 下載:7 |
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Solving laplacian system is common in the field of computer science nowadays. Preconditioner is an essential tool while solving linear system with indirect method. It may bring significant improvements to number of iterations, CPU time, and the errors. In this work we will start with graph laplacian, matrix splitting and approximation theories to get some polynomial preconditioners, and investigate the performance in the changes of different parameters in PCG(Preconditioned Conjugate Gradient) method mainly by experiments. We will show the experimental result as conclusion for the purpose of accelerating the iteration in future works.
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