The worst case complexity of the Fredholm equation of the second kind with non-periodic free term and noise information
文献类型：期刊论文
| 作者 | Jiang, TZ
|
| 刊名 | NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
 |
| 出版日期 | 1998 |
| 卷号 | 19期号:3-4页码:329-343 |
| 关键词 | complexity Fredholm equation of the second bind finite element method finite element information noise information |
| 英文摘要 | This paper deals with the complexity of the Fredholm equation Lu = f of the second kind with f epsilon W-r,W-p(Omega). The problem elements are free term f and belong to the unit ball of W-r,W-p(Omega). Available information about the problem consists of evaluations of f and is assumed to be corrupted by uniformly bounded noise. The absolute error in each noisy evaluation is at most delta. First, we give estimation of the n-th optimal radius in the worst case setting. Then, we show that a noisy finite element method with quadrature (FEMQ) has minimal error. Finally, we give the estimate of epsilon-complexity of Fredholm problem of the second kind in the worst case setting. To the best of our knowledge, this is the first work on complexity of integral equation with noisy information. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | INTEGRAL-EQUATIONS ; 2ND KIND |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000074022300007 |
| 公开日期 | 2015-12-24 |
| 源URL | [http://ir.ia.ac.cn/handle/173211/9768]  |
| 专题 | 自动化研究所_09年以前成果 |
| 作者单位 | 1.Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia 2.Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jiang, TZ. The worst case complexity of the Fredholm equation of the second kind with non-periodic free term and noise information[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION,1998,19(3-4):329-343. |
| APA | Jiang, TZ.(1998).The worst case complexity of the Fredholm equation of the second kind with non-periodic free term and noise information.NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION,19(3-4),329-343. |
| MLA | Jiang, TZ."The worst case complexity of the Fredholm equation of the second kind with non-periodic free term and noise information".NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 19.3-4(1998):329-343. |
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来源：自动化研究所
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