A PRIMAL-DUAL ALGORITHM FOR UNFOLDING NEUTRON ENERGY SPECTRUM FROM MULTIPLE ACTIVATION FOILS
文献类型：期刊论文
| 作者 | Dai, Yu-Hong1,2; Wang, Zhouhong3; Xu, Fengmin4 |
| 刊名 | JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION
 |
| 出版日期 | 2021-09-01 |
| 卷号 | 17期号:5页码:2367-2387 |
| 关键词 | Boltzmann's entropy ill-condition interior point algorithm analytic center neutron spectrum unfolding numerical stability |
| ISSN号 | 1547-5816 |
| DOI | 10.3934/jimo.2020073 |
| 英文摘要 | In this paper we propose a robust and efficient primal-dual interior point method for a nonlinear ill-conditioned problem with associated errors which are arising in the unfolding procedure for neutron energy spectrum from multiple activation foils. Based on the maximum entropy principle and Boltzmann's entropy formula, the discrete form of the unfolding problem is equivalent to computing the analytic center of the polyhedral set P = {x is an element of Rn | Ax = b, x >= 0}, where the matrix A is an element of Rmxn is ill-conditioned, and both A and b are inaccurate. By some derivations, we find a new regularization method to reformulate the problem into a well-conditioned problem which can also reduce the impact of errors in A and b. Then based on the primal-dual interior-point methods for linear programming, we propose a hybrid algorithm for this ill conditioned problem with errors. Numerical results on a set of ill-conditioned problems for academic purposes and two practical data sets for unfolding the neutron energy spectrum are presented to demonstrate the effectiveness and robustness of the proposed method.
|
| 资助项目 | Chinese NSF[11631013] ; Chinese NSF[11991021] ; Chinese NSF[11971372] ; Chinese NSF[11991020] ; CSC scholarship ; Beijing Academy of Artificial Intelligence (BAAI) |
| WOS研究方向 | Engineering ; Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000740705700006 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES-AIMS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59826]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wang, Zhouhong |
| 作者单位 | 1.Chinese Acad Sci, LESC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China 4.Xi An Jiao Tong Univ, Sch Econ & Finance, Xian 710061, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dai, Yu-Hong,Wang, Zhouhong,Xu, Fengmin. A PRIMAL-DUAL ALGORITHM FOR UNFOLDING NEUTRON ENERGY SPECTRUM FROM MULTIPLE ACTIVATION FOILS[J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION,2021,17(5):2367-2387. |
| APA | Dai, Yu-Hong,Wang, Zhouhong,&Xu, Fengmin.(2021).A PRIMAL-DUAL ALGORITHM FOR UNFOLDING NEUTRON ENERGY SPECTRUM FROM MULTIPLE ACTIVATION FOILS.JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION,17(5),2367-2387. |
| MLA | Dai, Yu-Hong,et al."A PRIMAL-DUAL ALGORITHM FOR UNFOLDING NEUTRON ENERGY SPECTRUM FROM MULTIPLE ACTIVATION FOILS".JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION 17.5(2021):2367-2387. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。